CA2176401C - A high-data-rate wireless local-area network - Google Patents

A high-data-rate wireless local-area network Download PDF

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Publication number
CA2176401C
CA2176401C CA002176401A CA2176401A CA2176401C CA 2176401 C CA2176401 C CA 2176401C CA 002176401 A CA002176401 A CA 002176401A CA 2176401 A CA2176401 A CA 2176401A CA 2176401 C CA2176401 C CA 2176401C
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signal
symbol
sequence
digital waveform
data
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CA2176401A1 (en
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John H. Cafarella
Jeffrey H. Fischer
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Symbol Technologies LLC
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Proxim Wireless Corp
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B1/00Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69Spread spectrum techniques
    • H04B1/707Spread spectrum techniques using direct sequence modulation
    • H04B1/7097Interference-related aspects
    • H04B1/711Interference-related aspects the interference being multi-path interference
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B1/00Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69Spread spectrum techniques
    • H04B1/707Spread spectrum techniques using direct sequence modulation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04JMULTIPLEX COMMUNICATION
    • H04J13/00Code division multiplex systems
    • H04J13/0007Code type
    • H04J13/004Orthogonal
    • H04J13/0048Walsh
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04JMULTIPLEX COMMUNICATION
    • H04J13/00Code division multiplex systems
    • H04J13/10Code generation
    • H04J13/102Combining codes
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B2201/00Indexing scheme relating to details of transmission systems not covered by a single group of H04B3/00 - H04B13/00
    • H04B2201/69Orthogonal indexing scheme relating to spread spectrum techniques in general
    • H04B2201/707Orthogonal indexing scheme relating to spread spectrum techniques in general relating to direct sequence modulation
    • H04B2201/7097Direct sequence modulation interference
    • H04B2201/709709Methods of preventing interference
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W84/00Network topologies
    • H04W84/02Hierarchically pre-organised networks, e.g. paging networks, cellular networks, WLAN [Wireless Local Area Network] or WLL [Wireless Local Loop]
    • H04W84/10Small scale networks; Flat hierarchical networks
    • H04W84/12WLAN [Wireless Local Area Networks]

Abstract

An apparatus and method for communicating data between at least two data devices, suitable for use as a wireless local-area network, that provides robust data via a radio channel corrupted by multipath interference, particularly at high data rates. A preferred embodiment of the invention represents data as a sequence of Walsh-function waveforms (66) encoded by pseudo-noise direct-sequence spread-spectrum modulation (70). Walsh function encoding of the data provides a long symbol duration, thereby allowing the spread spectrum modulation to provide processing gain sufficient to substantially overcome multipath interference, while providing a high data rate.

Description

A HIGH-DATA-RATE WIRELESS LOCAr aRFa NETWORK
1 Field of the Invention 2 This invention relates generally to wireless local-area networks, and more 3 particularly to wireless local-area networks for use in high-data-rate applications 4 subject to multipath interference.
6 Background of the Invention 7 Computer communications networks for allowing computers to communicate 8 data to and from other computers have become common. For example, a user of a 9 first computer can send and receive files and real-time data to and from a second computer. A local-area network (LAN) is a computer communications network 11 which provides computer communications among a plurality of computers situated 12 within a common locale. For example, a LAN is typically used to interconnect 13 personal computers or workstations within an office or school building, or to 14 interconnect computers situated in several buildings of a campus or office park. The computers connected to the LAN typically communicate among one another, and 16 usually also communicate with one or more centralized or specialized computers, 17 such as a host computer, with an output device, such as a printer, and with a mass 18 data storage device, such as a file server.
19 A computer communications network, such as a LAN, employs a transmission medium to communicate data signals among the plurality of data 21 devices in the network. Usually, the transmission medium is a network of wires.
22 Wires can be cumbersome in that they can present routing problems, occupy space, 23 require installation time, and inhibit the mobility of the computers connected to the 24 network.
To overcome the problems associated with using a system of wires as the 26 transmission medium, a plurality of radio transceivers can be used to communicate ~ 27 radio signals for carrying data messages among the computers in the computer 28 communications network. Use of radio transceivers has gained little acceptance so 29 far due to low data transmission rates and/or unreliability. Typically, if the data -1- .

i t' ;' _.~ ~, ~ a WO 95122859 ~ ~ -7 6 4 01 PCT/US95/01421 1 transmission rate is lowered,'the reliability can be improved.
Alternatively, high data 2 transmission rates can be achieved, albeit with reduced reliability.
3 The principle barrier to high data rate communications between computers m 4 a wireless local-area network is an interference phenomenon called "multipath". A
radio signal commonly traverses many paths as it travels towards a receiver.
6 Multiple propagation paths can be caused by reflections from surfaces in the , 7 environment, for example. Some of these paths are longer than others.
Therefore, 8 since each version of the signal travels at the same speed, some versions of the 9 signal will arrive after other versions of the signal. Sometimes the delayed signals will interfere with more prompt signals as the delayed signals arrive at the receiver, 11 causing signal degradation.
12 Multipath time-delay spread is the time that eiapses between the moment that 13 the earliest version of a transmitted signal arrives at a receiver, and the moment that 14 the latest version of the signal arrives at the receiver.
To understand multipath effects and the instant invention, it is helpful to I6 discuss the term "symbol". One or more symbols can be combined to form a 17 message that conveys meaning. Each symbol must be uniquely recognizable, and is 18 selected from a set of possible symbols, referred to as a symbol alphabet.
The 19 number of symbols in the symbol alphabet is referred to as the "order" of the symbol alphabet. For example, the letters "a", "b", and "c" are symbols from the English 21 alphabet, where the order of the English alphabet is 26. The numbers "0"
and "I"
22 are symbols of the binary number system, which is of order 2.
23 It is possible to represent a sequence of symbols from a first alphabet with 24 a symbol from a second alphabet, such as representing the binary symbol sequence "101" by the symbol "a". This binary symbol sequence consists of three binary 26 symbols. Since each binary symbol can be either one of two possible symbols, in a 27 sequence of three binary symbols, there are eight possible unique binary symbol 28 sequences. Thus, an alphabet of order eight is required to represent the eight 29 possible unique binary symbol sequences of three symbols each. In general, an , alphabet of order M = 2" is required to represent the M = 2" possible unique 31 binary symbol sequences of N symbols each.

WO 95/22859 ~ ' t ~v'-~ ', 'f ~ ~.1,l 6 4 Q ~ pCTIUS95101421 1 Just as binary signalling can be referred to as 2-ary signalling, a signalling 2 system that represents three-element binary symbol sequences using a symbol 3 alphabet of order eight is referred to as 8-ary signalling. In the terminology of 4 communications system design, an 8-ary symbolic representation is said to represent each symbol using "3 bits per symbol".
6 In general, a signaling system that represents an N-element binary symbol 7 sequence using a symbol alphabet of order M = 2" is referred to as M-ary 8 signalling. In M-ary signalling, the equivalent binary data rate R is the symbol rate 9 S multiplied by the number of bits per symbol N, i.e., R = S * N. The number of bits per symbol N is logZM. Thus, for 8-ary signalling, N = 3, and therefore the 11 equivalent binary data rate is three times the symbol rate (assuming no error 12 coaection coding and no overhead bits) 13 In binary signalling, the equivalent binary data rate is equal to the symbol 14 rate, i.e, R = S, because when M = 2, the number of bits per symbol N is one.
Consequently, "bit" and "symbol" are often used interchangeably in discussions of 16 binary signalling.
17 In radio communications, a transmitter includes a modulator that provides a 18 transmitted signal representative of informatiotr presented to the modulator.
19 Conversely, a receiver includes a demodulator that receives the transmitted signal and ideally provides the original information represented by the transmitted signal.
21 Commonly, the information presented to the modulator includes a plurality of 22 symbols, where each symbol is selected from a finite set of symbols. For each 23 symbol presented to the modulator, the modulator generates a corresponding symbol 24 waveform selected from a set of discrete symbol waveforms, the symbol waveform then being transmitted over a communications channel to be received by at least one 26 receiver.
27 Each symbol waveform that is transmitted is subject to distortion and noise, 28 thereby making each received symbol waveform differ from the corresponding 29 original transmitted symbol waveform, and become more similar to other symbol waveforms that were not actually transmitted. Consequently, it is necessary to decide 31 which symbol of the discrete set of known symbols was most likely transmitted. This 32 decision is performed in the demodulator of the receiver, the output of the n; ~~ ,: :~~ ~l ~ ~' ~ ~ PCTIUS95101421 WO 95!22859 1 demodulator being a sequence of symbols, selected from the known set of symbols, 2 that represents the best estimation of the transmitted symbol sequence.
3 To decide which symbol sequence has been transmitted, for each transmitted 4 symbol, the demodulator processes the corresponding received symbol wavefozm for a period of time called a coherent integration interval. It is essential that each 6 coherent integration interval be coincident with each received symbol waveform, , 7 thereby providing correct synchronization. In the absence of correct synchronization, 8 the symbol content of the received wavefotm will be misinterpreted.
9 To further clarify the concept of multipath interference, consider the case of a message transmitted as a binary data modulation waveform, wherein each message 11 symbol consists of a single bit. When the multipath time-delay spread is longer than i2 the duration of a symbol waveform, symbol waveforms of the first version of the 13 received signal overlap non-corresponding symbol waveforms of the excessively 14 delayed versions of the received signal. This phenomena is called intersymbol interference (ISI).
16 For example, in a typical indoor or campus radio network environment, the 17 time-delay spread can be greater than 500 nanoseconds (ns). Since in binary data 18 modulation, data rate is the multiplicative inverse (reciprocal) of symbol duration, 19 a time delay spread of 500 ns implies that data rates even much less than two million bits per second (Mbps) will result in significant data errors due to intersymbol 21 interference.
22 In addition to intersymbol interference, some multipath reflections may 23 exhibit time-delay spreads that are less than the duration of a symbol waveform. This 24 form of multipath interference is referred to as in symbol interference, and such interference can cause a significant degradation in the amplitude of the total received 26 signal.
27 In intrasymbol interference, the multipath time-delay spread is shorter than 28 the duration of a symbol waveform. Thus, symbol waveforms of the first received 29 signal version overlap non-corresponding op rtions of corresponding symbol -waveforms of the delayed versions of the received signal. Consequently, reflected 31 signals of significant amplitude will cause periodic amplitude nulls in the frequency 32 spectrum of the total received signal due to coherent cancellation at particular lx.r W0 95/22859 ~ . ~ PCTIUS95101421 1 frequencies. The bandwidth of the amplitude nulls is inversely proportional to the 2 delay of the corresponding signal that is causing the interference. This phenomenon 3 is known as "frequency selective fading", and it substantially impairs the reliability 4 of communication between a transmitter and a receiver.
Overcoming frequency selective fading is commonly accomplished using 6 diversity methods. These methods include spatial diversity, polarization diversity, 7 and frequency diversity. Spatial and polarization diversity require at least two 8 receivers, each having a separate receive antenna, such that the frequency selectivity 9 pattern is different for each antenna.
Frequency diversity receivers can share a single broadband receive antenna, 11 but the transmitted signal is duplicated and is transmitted on at least two carrier 12 signals that are separated by a frequency bandwidth that is larger than the width of 13 a frequency null. A frequency diversity receiver unit consists of multiple receivers, 14 each tuned to a different carrier frequency. The receiver outputs of either method fade independently, and are combined in one of several known ways to take 16 advantage of this. Since this method employs an independent receiver for each 17 diversity channel used, it can be quite costly to implement.
18 There are known methods for reducing intersymbol interference due to 19 multipath effects while preserving high data rates. A first method employs highly directional line-of sight microwave links with high antenna gain, since signals having 21 the longest delays often arrive at angles far from the central axis of the microwave 22 antenna. One problem with this method is that to obtain high antenna gain, the 23 antennas must be large, mounted on fixed platforms, and must be carefully pointed.
24 Such antennas are therefore complicated and expensive to install and move.
Large antennas are particularly unsuitable for short range indoor or campus environments.
26 A second method for reducing intersymbol interference due to multipath 27 effects while preserving high data rates is to use echo canceling techniques 28 implemented using adaptive filters. However, the expense and computational 29 requirements of adaptive filters is prohibitive at the high data rates required in the highly dynamic environment of radio communications.
31 A third method is to channelize the transmitted wavefotm into multiple 32 channels, each channel being of different carrier frequency and of lower bandwidth WO 95/22859 ~ ' , 1 (therefore using longer symbol durations) than the single-channel transmitted 2 waveform. Each channel is then received independently. This approach is excessively 3 costly because one independent receiver per channel is required.
4 A fourth and less conventional approach is to use M-ary orthogonal signalling, with symbols that are logiM times as long as the binary symbols would 6 be. According to the property of orthogonality, the waveform that represents each , 7 symbol has no projection on the respective waveform of any other symbol of the 8 symbol alphabet from which the symbols of the message are selected.
Consequently, 9 each symbol in the alphabet is more easily distinguished from other symbols in the alphabet than without the orthogonality property.
11 If the temporal symbol duration of the orthogonal signal is made much longer 12 than the multipath time delay spread, the effect of the multipath can be reduced. For 13 example, one of many approaches includes the use of M-ary frequency shift keying 14 (MFSK) modulation to encode the high-order symbol alphabet into one of M
frequencies. Orthogonal signaling would still require a diversity receiver to overcome 16 intrasymbol interference. Furthermore, orthogonal signalling requires excessive 17 bandwidth to implement as compared with a conventional communications channel, 18 and is therefore typically prohibited by government regulation. ' 19 All of these approaches for reducing intersymbo! interference due to multipath effects while preserving high data rates must, in general, also include means for 21 diversity reception to reduce the intrasymbol interference, and consequently must 22 employ duplicate receivers.
23 Direct-sequence spread spectrum (DSSS) modulation is a multipiicative 24 modulation technique that can be used for resolving and discriminating against multipath interference. A common but unsatisfactory approach to mitigating 26 muItipath effects is to employ direct-sequence spread spectrum modulation in 27 conjunction with binary data modulation, where the direct-sequence spreading 28 function of the DSSS modulation is a pseudonoise (PN) waveform. This approach 29 is unsatisfactory because it cannot provide sufficiently high data rates to support LAN throughput requirements when sufficient processing gain is used for 31 overcoming multipath effects.

r.,..~
W O 95/22859 , ~ '~~ 1~,~~~ ~ 1~ ~, ~ ~ ~ PCTIUS95I01421 1 The processing gain of a binary-data-modulated spread spectrum waveform 2 is the ratio of the spreading bandwidth of the DSSS modulation to the data 3 bandwidth. The spreading bandwidth is often limited due to constraints imposed by 4 government regulation or by shortcomings of signal processing technology.
Loyering the binary data rate increases processing gain and consequently robustness.
but 6 sacrifices rate of data throughput.
7 The ability to reduce both intersymboi and intrasymbol interference due to 8 multipath effects depends on the processing gain of the spread spectrum waveform 9 and receiver, whereas the ability to resolve adjacent paths is a function only of the spreading bandwidth, not of the symbol rate.
11 It is known to use Walsh-function waveforms to implement code division 12 multiple access (CDMA). CDMA is used to improve the channel capaciy of a 13 spread spectrum system where multiple transmitters share the same frequency 14 spectrum. Walsh-function modulation is used to provide separable signals.
It is difficult to ensure this reparability because of limited processing gain, and hence 16 precise transmitter power regulation is usually required. Further improvements in 17 gain would be desirable.
18 Gilhousen, US Patent 5,103,459, specifically teaches a cellular telephone 19 system that employs spread spectrum encoding to discriminate among the signals of multiple users. This capability illustrates a well-known CDMA application of spread 2I spectrum signalling. Reduction of multipath interference is not addressed.
In the 22 forward channel, Walsh-function signalling is used for improved CDMA
23 performance, not for data modulation. Furthermore, Walsh-function signalling is not 24 used to increase the CDMA processing gain by extending the symbol duration.
but only to provide a better CDMA waveform than pseudo-noise DSSS would alone 26 provide, because the treatment is such that the orthogonality property occurs bet~~een 27 multiple users sharing the same frequency band, and not between data symbols.
28 Although Gilhousen '459 discusses the use of Walsh-function data modulation in the - 29 reverse channel, Gilhousen '459 clearly states that the purpose of the Walsh-function signalling is to obtain good Gaussian noise performance in a Rayleigh fading 31 multipath channel. Consequently, use of a modulation, such as binary phase shift 32 keying, that requires a coherent phase reference signal for demodulation is _7_ ~ ~' t.' 1 , ~ 1 ~ ~ PCTIUS95/01421 1 precluded. GiIhousen '459 states that differential phase shift keying will not operate 2 well in a Rayleigh fading multipath environment, and some means of orthogonal 3 signalling is required to overcome the lack of a phase reference. Moreover, since 4 the multipath channel discussed in Gilhousen '459 is Rayleigh fading, Gilhousen '459 does not resolve and discriminate against multipath interference. Further, the use 6 in GiIhousen '459 of Walsh-function signalling for data modulation is independent , 7 of the use therein of spread spectrum encoding. Gilhousen '459 explicitly states that 8 binary orthogonal signalling also works, since a coherent phase reference would not 9 be required. The receiver described in Gilhousen '459 requires that the entire forward and backward channei be utilized to time-synchronize the mobile units.
In 11 fact, a satellite-based timing system is required to keep time aligned between cells.
12 Therefore, the system disclosed by Gilhousen '459 is clearly a time-synchronous 13 CDMA cellular telephone communications system, and is not intended for, or 14 useable as, a high data-rate radio-frequency inter-computer communications system.
Kerr, US Patent Nos. 4,635,221 and 5,001,723, describes a system that 16 utilizes the bandwidth available in a surface-acoustic-wave convolver, which 17 generally has a much higher processing bandwidth than the bandwidth available for 18 signal transmission. A received signal is multiplexed onto several carrier frequencies, 19 and each is processed independently in the convolver. The convolver is used to simultaneously compare the received signal to M orthogonal reference waveforms, 21 composed of Walsh function and PN-DSSS waveforms. The '723 patent describes 22 a variation that uses orthogonal sinusoids instead of Walsh functions, as taught by 23 the '221 patent. The scope of the teachings of these patents is narrow in that they 24 specifically address a method of demodulating a plurality of signals using a convolver, and do not disclose any means for implementing a high-data-rate wireless 26 local-area-network suited for use ina multipath envirotunent.
27 Groth, US Patent No. 4,494,238, discloses use of pseudo-noise direct-28 sequence spread spectrum across multiple, non-contiguous carrier frequencies that 29 are coherently processed at a receiver. Walsh functions are used in this system to generate signals within the receiver, such signals being used to perform phase 31 computations, but not for signaling over a cottunuttications channel corrupted by 32 multipath interference.
_g_ WO 95/22859 j C~~ ~ ,Z ~'~° ~ ~ 2 ~ 7 6 4 Q 1 p~~g9g/01421 1 McRae et al., US Patent No. 4,872,182, provides a method for determining 2 a useful frequency band for operating a high frequency radio communications 3 network. Each receiver is identified by its pseudonoise direct-sequence spread 4 spectrum reference code, which implies that spread spectrum encoding is used for CDMA purposes, even though the term "CDMA" is not explicitly mentioned.
6 Walsh-function modulation is used to specify control information for scanning 7 available frequency bands until a useful frequency band is found.

9 Objects of the Invention It is a general object of the present invention to provide a wireless LAN of 11 the type described that overcomes the problems of the prior art.
12 More specific objects of the present invention include providing a wireless 13 LAN that achieves superior data rates while providing reliable commutucations 14 Another object of the invention is to overcome intersymbol and intrasymbol interference resulting from multipath effects, and to thereby provide a higher data 16 rate with more robust performance than previously possible.
17 Another object of the invention is to provide a practical means for 18 implementing a high-reliability, high-data-rate, wireless local-area network.

Summary of the Invention 21 The invention provides an apparatus and method for providing high data rates 22 in a wireless local-area network data communications envirotunent. even in the 23 presence of multipath interference. To achieve this, the invention combines a 24 higher-order signaling alphabet, such as an orthogonal signal set, with direct-sequence spread-spectrum modulation (DSSS) to provide processing gain for 26 suppressing both intra-symbol and inter-symbol interference due to multipath effects, 27 while also providing the high rates of data throughput required of a wireless LAN.
28 Furthermore, the use of DSSS in this high data rate application reduces intrasymbol 29 interference effects to the extent that the need for diversity methods is significantly diminished.
3I Use of a higher-order signalling alphabet results in a symbol waveform that 32 is log2M times longer than an equivalent binary signalling waveform, where M is the ,~
W095I22859 ~ ('~ ~ tr ~t ~ ~' ~ ~ 7 b 4 01 PCT~S9510142t 1 order of the higher-order signalling alphabet. The longer-duration symbol waveforms 2 of the higher-order signalling alphabet are co-modulated with a DSSS
waveform so 3 as to provide increased processing gain for a given data rate, without increasing the 4 spread spectrum transmission bandwidth. The increased processing gain results in robust performance at a data rate that is sufficiently high to provide a practical 6 wireless LAN.
7 For some applications, the use of a non-orthogonal high-order signalling 8 alphabet results in acceptable performance, as measured by a low bit-error rate for 9 a given signal-to-noise ratio. Examples of non-orthogonal symbol sets include quadrature amplitude modulation (QAM) signal constellations, and M-ary phase shift 11 keying sets, when transmitting more than two bits per symbol.
12 In a preferred embodiment, the higher-order alphabet that is used is mutually 13 orthogonal. The use of M-ary orthogonal signaling to implement the higher-order 14 alphabet is normally prohibited by the narrowband channel allocations available; to convey n bits per symbol, the bandwidth required is M times the symbol rate, where 16 the value of M is 2". The fme structure (high frequency components) required to I7 support M orthogonal waveforms, as expressed by the exponential relationship 18 between n and M, leads to exponentially increasing bandwidth requirements.
For 19 example, for a given symbol rate, increasing the number of bits transmitted per symbol from 4 to 5 results in a 25 % increase in throughput (data rate), but requires 2I a 100% increase in transmitter bandwidth.
22 An example of an orthogonal signalling set that fits within, i.e., is supported 23 by, the bandwidth of a direct sequence spreading code is the Walsh-function 24 waveform set. As a high-order alphabet, these waveforms can be directly modulated by pseudo-noise spread spectrum modulation, without exceeding the occupied 26 transmit bandwidth required for sgread spectrum signalling alone. Since spread 27 spectrum frequency allocations and spread spectrum transceiver equipment are 28 inherently wideband, the Walsh-function waveform set does not require additional 29 bandwidth when used in conjunction with DSSS encoding, even though it requires more bandwidth than the signal to be encoded when only Walsh-function encoding 31 is used.
W0 95/22859 ;'; , ~ Q ~ PCT/US95/01421 1 Consequently, use of the words 'spreading' and 'despreading' are to be 2 interpreted as referring to modulation and removal, respectively, of a DSSS
encoding 3 waveform, whether or not there is a change in bandwidth due to the DSSS
4 waveform. In the case of a Walsh-function wavefotm of a bandwidth that. is less than the bandwidth of the DSSS encoding waveform, the term 'spreading' and 6 'despreading' may be understood in a more conventional sense.
7 The invention employs a Walsh-function waveform set that includes a 8 plurality of mutually orthogonal binary waveforms which can be synchronously 9 modulated upon a spread spectrum code such that all binary transitions of both the Walsh-function wavefolms and the spread spectrum wavefotms occur simultaneously 11 with a transition of a common clock signal. The clock signal frequency is selected 12 so as to support the finest possible pulse structure in each Walsh-function and spread 13 spectrum waveform. The finest pulse structure that can occur in a wavefotm 14 determines the bandwidth of the waveform. Therefore, the clock rate establishes the bandwidth of the waveform. As long as a wavefolm signal transition occurs at a 16 clock edge, a muttiplicative composite of a Walsh-function and spread spectrum 17 waveform will not require additional bandwidth beyond the bandwidth of its two 18 constituent wavefolms. Consequently, Walsh-function waveforms having a 19 bandwidth less than or equal to the bandwidth of the DSSS wavefotm can be used without any increase in bandwidth of the Walsh-function/DSSS composite waveform.
21 In another preferred embodiment, the orthogonal signal set is supplemented 22 with an antipodal signal set to form a bi-orthogonal signal set, further increasing the 23 data rate achievable at a given DSSS processing gain. Other embodiments include:
24 noncoherent signalling across two symbols, as in differential phase shift keying (PSK), to perform the bi-orthogonal signalling; coherent and noncoherent M-ary 26 phase shift keying, combined with orthogonal signalling within a single symbol; and 27 differentially encoded coherent phase shift keying across two symbols, with 28 orthogonal signalling within a symbol.

Y : ~, ~ ; t~ 2 ~ 7 6 4 01 p~~S95101421 W O 95!22859 1 BriefDescrintion of the Drawines 2 The invention will be more fully understood from the following detailed 3 description, in conjunction with the accompanying figures, wherein:
4 Fig. 1 is a schematic representation of a communications channel affected by multipath interference;
6 Fig. 2 is a plot of time versus the log of measured impulse response of a 7 typical short range multipath channel exhibiting both intrasymbol and intersymbol 8 interference;
9 Fig. 3 is a block diagram of a spread spectrum uansmitter and time-domain representations of associated waveforms;
11 Fig. 4 is a block diagram of the correlation process used in a receiver to 12 despread a line-of-sight (L05) signal encoded by DSSS, and then corrupted by 13 communications channel interference, thermal noise, and multipath effects;
14 Figs. 5A, SB, and SC are, respectively, a time-domain signal plot of line-of-sight and reflected signals, a block diagram, and a correlation process output plot, 16 together showing a correlation process operating on the sum of the line-of sight and 17 reflected signals to produce a correlation process output trace;
18 Fig. 6 is a plot of time versus the log of measured impulse response showing 19 the elimination of the significant intersymbol interference provided by DSSS
encoding of each symbol;
21 Fig. 7 is a chart of LAN types showing rapid synchronization requirements;
22 Fig. 8 is a block diagram of a spread spectrum transmitter;
23 Fig. 9 is block diagram of a spread spectrum receiver having a rapid 24 synchronization circuit which provides a timing signal to a correlator demodulator;
Fig. 10 is a schematic of a spread spectrum receiver having a sliding serial 26 correlator for performing synchronization;
27 Fig. 11 is a diagram of an example of a data packet structure;
28 Fig. 12 is a schematic diagram of a correIator demodulator that employs 29 bandpass direct-sequence (DS) removal;
Fig. 13 is a schematic diagram of a non-phase-coherent correlator 31 demodulator for orthogonal signalling that employs baseband DS removal and 32 noncoherent DPSK;

;,., ~ ~:. ~ ~ 7 6 4 01 PCTIUS95/0142t 1 Fig. 14 is a schematic diagram of a phase-coherent correlator demodulator 2 for orthogonal signalling that employs baseband DS removal and coherent PSK;
3 Figs. 15A - 15H are wavefotm traces showing the first eight Walsh-function 4 waveforms in ascending Walsh order;
Fig. 16 is a plot of the probability of correctly demodulating a 1024-bit data 6 packet versus signal-to-interference ratio for DPSK signaling and orthogonal 7 signalling at various data rates;
8 Fig. 17 is an enlarged portion of the plot of Fig. 16;
9 Fig. 18 is an integrated circuit layout diagram of a charge transfer device implementation of a receiver of the invention;
11 Fig. 19 is a schematic diagram of demodulator chip circuitry for use with a 12 coherent carrier-phase reference signal;
13 Fig. 19A is block diagram detailing the add/subtract block of Fig. 19;
14 Fig. 20 is a schematic diagram of the demodulator chip circuitry for use with a carrier signal of unknown phase, wherein both in-phase and quadrature-phase 16 channels are processed, and wherein the combining circuitry of the demodulator chip I7 is shown schematically;
18 Figs. 21A and 21B are schematic diagrams showing a preferred partitioning 19 of the circuitry of Fig. 20 into two chips, or for realizing a cascadeable structure;
Fig. 22 is a schematic diagram of a basic cell for computation of Walsh 21 coefficients; and 22 Fig. 23 is a schematic diagram of a plurality of the basic cells of Fig. 22 23 interconnected in a tree architecture, for computation of Walsh coefficients.

Detailed Description of the Drawines 26 The invention provides an apparatus and method for reducing multipath 27 interference effects, while also providing high data rates in a local-area network data 28 communications environment. The apparatus and method of the invention combines 29 a higher-order signaling alphabet, such as an orthogonal signal set, with direct-sequence spread-spectrum (DSSS) modulation.
31 As recognized by the invention, an orthogonal signalling set that requires no 32 more bandwidth than the bandwidth of the spreading code of the DSSS
modulation ,,' y ; , '.~wi !' ~ 2 i ~ 6 4 01 PCT/US95I01421 W O 95!22859 1 is, for example, the set of Walsh-function waveforms. As a high-order alphabet, 2 these waveforms can be combined with a pseudonoise (PN) direct sequence spread 3 spectrum (DSSS) waveform without increasing the occupied transmit bandwidth 4 beyond the bandwidth required for the spread spectrum signalling alone. The y~alsh-function signal set includes binary waveforms which can be synchronously multiplied 6 by the DSSS ~waveform such that all binary transitions of the Walsh-function 7 wavefotms occur at transitions of the same clock signal that generates the DSSS
8 waveform.
g The bandwidth of a waveform is determined by the forest possible pulse structure of the waveform. Since each clock transition represents a potential signal 1l transition, the clock rate establishes the finest possible pulse structure of a signal 12 waveform. Any signal transition of the highest bandwidth waveform that occurs at 13 a clock edge will not require additional bandwidth beyond the bandwidth of the clock 14 signal.
There exist other ways to provide an orthogonal signal set for use with spread 16 spectrum techniques. Instead of using a separate multiplicative orthogonal signal set, 17 such as the Walsh-functions, in conjunction with a single pseudo-noise spreading 18 code to implement the signaling, the symbol waveform can be chosen from among 19 a set of nearly orthogonal pseudo-noise (PN) spreading codes, or phase shifts of these spreading codes. Modulations that transmit a variety of shifts of the same code 21 include pulse position modulation (PPM), and cyclic code shift keying, for example, 22 but these time-shift modulations are unsuitable because the demodulation can be 23 ambiguous when subjected to multipath time delays. Modulations that send one of 24 a set of PN spreading waveforms to relay the data also have several problems.
Only PN waveforms that are cyclic, maximal-length sequences without data 26 modulation exhibit the requisite nearly orthogonal cross-correlation properties.
27 Randomly chosen PN waveforms exhibit average cross-correlation values (between 28 different pairs of waveforms) that are equal to the processing gain of the PN
29 waveform. It is difficult to derive a subset of waveforms that have good cross-correlation properties. The number of required waveforms increases exponentially 31 with the number of bits per symbol that must be transmitted. These waveforms, WO 95/22859 ~ ~L~ ~f ~% ~d ~ 217 6 4 Q 1 PCT~S95101421 1 once determined, must be generated with independent PN generators, because each 2 waveform is unrelated to each of the others in structure.
3 At the receiver, a separate spread spectrum correlator must be provided for 4 each transmitted wavefotm because the waveforms are generally independent of each other. Each correlator operates upon the received signal, and attempts to provide 6 a level at the output of the correlator representative of the degree of correlation 7 between a received-signal wavefotm and a reference wavefotm. Each wavefotm that 8 can potentially be transmitted will be provided as a reference wavefotm in one 9 cotrelator. The data decision as to which wavefotm was actually transmitted is determined by the correlator with the largest output signal.
11 By contrast, according to the invention, Walsh-functions do not exhibit these 12 problems. The regular wavefotm structure of the Walsh-functions allows a set of 13 waveforms of any order to be readily synthesized. In the receiver, the invention 14 exploits a decomposition property of the Walsh-function waveforms that allows a correlator to be constructed from a plurality of identical elements, to be described I6 below. Thus, according to the invention, Walsh-function orthogonal data modulation 17 is the preferred form of data modulation to be used in combination with spread 18 spectrum modulation.
19 However, any means for providing the correlation against each of a plurality M of Walsh-function waveforms will also suffice. Other examples, such as the fast 21 Walsh transform (also known as the fast Hadamard transform) are equally useful 22 when used in combination with spread spectrum modulation.
23 An orthogonal signal set is characterized by the property that each waveform 24 has no projection on any other waveform in the set. By contrast, an antipodal signal set is characterized by the property that a wavefotm can have a negative projection 26 onto another waveform. By combining the two signal sets, a bi-orthogonal signal set 27 is formed, wherein both orthogonal and antipodal signals are possible. As a benefit, 28 bi-orthogonal data modulation provides an extra data bit per symbol, without 29 increasing the transmission bandwidth, or decreasing the processing gain.
The accompanying slight increase in required signal-to-noise ratio is insignificant.
31 A bi-orthogonal signal set can be implemented in the Walsh-function 32 demodulator, as illustrated in the exemplary embodiment of Fig. 14, wherein the ~ ~ 7 6 4 01 P~~7S95101421 ,,r 5.
W O 95122859 .:
1 positive and negative phase of any of the waveforms can be used as additional 2 potential wavefotms in a symbol. Thus, phase shift keying (P5K) can be combined 3 with the orthogonal signalling. Bi-orthogonal modulation can be processed coherently 4 if the phase of the received signal is tracked. -Alternatively, bi-orthogonal modulation can be processed non-coherently 6 using differential phase shift keying (DPSK) between symbols, as illustrated in the 7 exemplary embodiment shown in Fig. 13. If non-coherent DPSK is used, after the 8 orthogonal receiver determines which waveform was most likely transmitted for each 9 pair of consecutive symbols, the DPSK receiver determines whether it is likely that there was a phase inversion between the carriers of each pair of symbol wavefotms.
11 The next pair of symbols for this operation consists of the second symbol of the 12 previous pair and a new symbol, just as in binary DPSK.
13 Just as coherent PSK can be used on each symbol if a phase reference is 14 created at the receiver, multiphase phase shift keying can be used with orthogonal signalling to increase data rate. However, the bit error rate performance of this type 16 of modulation degrades rapidly as the order of the signal set increases.
Furthermore, 17 multilevel DPSK, such as differential quadrature phase shift keying (DQPSK) can 18 be used, which sacrifices bit error rate performance for improvements in data rate.
19 Several embodiments of the invention provide robust wireless I,AN
performance. One such embodiment employs a different PN spreading code for each 21 successive symbol in a sequence of transmitted symbols. Errors due to high cross-22 correlation sidelobes in multipath between transmitted symbols are thereby 23 randomized.
24 In a preferred embodiment, to further reduce error rates, error correcrion coding can also be employed. Error correction coding can be used to compensate for 26 the portion of the error rate due to the high sidelobes that can occur under some 27 multipath delay conditions, as measured at the output of the demodulator.
28 In other embodiments, the same PN code is repeated every consecutive 29 symbol. Use of repeating PN codes can help to reduce the peak cross-correlation sidelobe levels, whereas changing codes cause some randomization of the levels 31 between symbols.

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WO 95122859 ~ '~ PCTIU595101421 1 Another embodiment of the invention uses a pulse-shaping filter on spread 2 spectrum code modulation to reduce the bandwidth required to achieve a given 3 processing gain. It is known in the art that a wavefotm that is square-shaped in the 4 frequency domain, i.e., having no frequency sidelobes, provides the greatest processing gain. Thus, pulse shaping of the code trades higher time sidelobes for 6 lower frequency sidelobes, i.e., squareness in the frequency domain.

8 Multipath Environment 9 Referring to Fig. 1, it is useful to distinguish two major types of multipath interference. "Near-in" multipath interference is caused by the existence of a 11 reflected version 28 of a line-of-sight (LOS) 26 signal that has travelled only a small 12 distance further than the direct line-of-sight signal 26, thereby causing coherent 13 cancellation and deep fading of the signal power of the received signal, which is a 14 combination of at least the reflected signal 28 and the LOS signal 26. This type of reflected signal is delayed with respect to the LOS signal 26 no longer than the 16 duration of one data symbol of the LOS signal 26, and so the interference resulting 17 therefrom is referred to as "infra-symbol" interference. This type of multipath 18 interference results from a signal travel path that reflects off a surface such that it 19 is incident upon the receiver at a small angle with respect to the LOS
signal 26.
Various frequency components of the LOS signal 26 and the reflected signal 21 28 destructively interfere at the receiver, resulting in nulls in the received frequency 22 spectrum. For example, if a narrowband signal, i.e, a signal occupying a relatively 23 narrow frequency range (commonly used in traditional communications) is used to 24 modulate a carrier signal of a frequency that falls within a null in the received frequency spectrum, and the narrowband signal traverses both an LOS path and a 26 reflected path to a receiver, the amplitude of the received modulated signal will be 27 substantially diminished. It is even possible that the amplitude of the modulated 28 signal will be diminished to an amplitude less than the amplitude of the noise 29 introduced by the communications channel, resulting in data errors. This effect is known as multipath fading.
31 For example, where a receiver is disposed at a distance of 200 meters from 32 a transmitter, and a signal reflector is disposed at a perpendicular distance of 45 z~~64o~
W O 95122859 ' ; ,,. t ~ ~ ~ ~ ~ PCTIUS95101421 1 meters from a line-of-sight path between the receiver and the transmitter, a reflected 2 signal that originates at the transmitter, and is reflected towards the receiver by the 3 reflector traverses an additional 20 m with respect to the distance traversed by a line-4 of sight (LOS) signal. Thus, in this example, the reflected signal arrives about 65 nanoseconds (ns) later than the LOS signal. If the reflection is specular, which is 6 often the case, the amplitude of the reflected signal can be nearly equal to the 7 amplitude of the LOS, thereby causing deep multipath fading.
8 "Far-out" multipath interference occurs when a reflected signal travels a 9 distance sufficiently greater than the distance traversed by the Line-of-sight signal so as to cause a delay greater than the duration of one data symbol. The interference 11 that results is called "intersymbol interference" (ISn. The causes of reflection can 12 be similar to the causes of reflection in "near-in" multipath, but the geometry of the i3 transceiver locations with respect to the reflecting surfaces creates an excess reflected 14 path length that can extend beyond the symbol duration before it is sufficiently attenuated below the amplitude of the LOS signal. The invention removes the 16 previously existing limitation that far-out multipath interference imposed on the data I7 rate of binary communications.
18 When the reflection of the signal corresponding to a first data bit overlays the 19 direct path signal corresponding to a second data bit, intersymbol interference (ISI) results. ISI can cause data recovery errors at the receiver. For example, if the 21 transceivers are separated by 200 meters, and a reflector is disposed at a 22 perpendicular distance of 150 meters from the line-of-sight path and equidistantly 23 with respect to each transceiver, there is a reflected path that is 160 meters longer 24 than the direct path traversed by the line-of-sight (LOS) signal. Thus, the reflected signal arrives at a time that is about 535 ns after the arrival time of the LOS signal.
26 Binary signalling would be limited to much less than 2 Mbps in this operating 27 environment.
28 Fig. 2 shows a plot of a typical filtered impulse response measurement of a 29 wireless LAN communications channel. Here, T represents the duration of the symbol. The initial (filtered) pulse represents the line-of-sight response to an 31 impulse that is transmitted. All later responses are due to reflections.
Both the 32 intrasymbol and intersymbol interference are apparent for this value of T.

»
,_< '.'z. ' ~_.' 2176401 W0 95122859 ~ ~ ' - ' 1 -~ PCT'IUS95I01421 1 Spread Spectnim Performance Advantages 2 With reference to Fig. 3, pseudonoise direct-sequence spread spectrum 3 techniques (PN-DSSS) employ a multiplicative modulation step that distributes the 4 transmitted signal over a greater range of frequencies (bandwidth) than is normally required to support the data rate. For example, binary data 30 is used to phase-shift-6 key-modulate a carrier signal 32 in a first modulator 34. The output 36 of the first 7 modulator 34 has a frequency bandwidth that is on the order of the data rate of the 8 binary data 30. The sharp signal transition 38 in the modulating data signal 9 causes a phase inversion 39 of the modulated signal 36. According to Fourier transform theory, the phase inversion 39 introduces high frequency signal 11 components within the signal bandwidth.
12 The forest pulse structure 40 in the PN-DSSS spreading code 42 is commonly 13 referred to as a chip 40, to distinguish it from a bit, which refers to the smallest 14 possible pulse of a data signal. The PN-DSSS spreading code 42 phase-shift-key modulates the waveform 36 within a second modulator 44, resulting in many more 16 phase inversions within each data symbol of an output waveform 45. The output 17 waveform 45 of the second modulator 44 has a bandwidth that is equal to the 18 bandwidth of the PN-DSSS code. The order of application of the modulations of 19 modulators 34 and 44 can be reversed, and the modulations can also take the form of minimum-shift-keying, or various other continuous-phase-shift-keying waveforms 21 that are known in the art.
22 Referring to Fig. 4, within a receiver 46, the spreading code 42 is removed 23 by a correlation process, such as can be implemented in a matched filtering or serial 24 correlator 48, using a reference code 49. The correlation process implemented by the correlator 48 provides a linear decomposition 50 of the individual propagation 26 paths that make up the received signal. The decomposition is inherent in the signal 27 processing and requires no feedback. Therefore, wideband channel dynamics can be 28 handled without computational strain, in contrast with adaptive equalizer systems.
29 As depicted in Fig. 4, the correlation process 48 within the receiver 46 performs a cross-correlation of the local reference code 49 and the received signal 31 47 after it has been corrupted by transmission through a communications channel.
32 The correlation process output 50 is depicted for a range of relative displacements .; r, ; J '.,, ! .~, ~ j /~ ~ 4 Q ~ rc~rrus9s~otaat 1 of the received signal with respect to the reference code signal. The spreading code 2 signal 42 is chosen such that the amplitude of its autocorrelation function is nearly 3 zero everywhere except where the signals are aligned. Where the signals align, there 4 occurs a triangular pulse, called a correlation spike 50, of width 21T~ at its base, S where T~ is the chip width.
6 The peak of the correlation spike 50 occurs at perfect alignment. Recall that 7 each bit of the spreading code is referred to as a chip, to distinguish it from a data 8 bit. Thus, if there are sixteen chips of spreading sequence in a cross-correlation 9 interval, e.g., the duration of a symbol, there are 16 possible ways the spreading code can be aligned with respect to the signal to be correlated, when the chip edges 1I are also aligned. Fractional chip timing shifts account for unknown chip boundary 12 timing. The correlation process determines which of the relative positions results in 13 significant signal energy (correlation spike), the remaining relative positions having 14 negligible signal energy, i.e., no appreciable signal spike.
Referring to Fig. 5, PN-DSSS spread spectrum modulation of the reflected 16 signal 52 and the LOS signal 54 allows them to be resolved in time at the receiver 17 using the correlation process 56, thereby eliminating multipath interference. After 18 the correlation process 56, each signal 52 'and 54 is represented by a displaced 19 correlation spike 52a and 54a, respectively, each spike having an amplitude which represents relative received signal strength. In fact, the output of the correlation 21 process, as the relative code alignment is swept out, approximates the impulse 22 response of the communication channel resolved to the spreading bandwidth, as it 23 is the linear sum of the autocorrelation functions of all of the signal paths.
24 According to the invention, a benefit of the use of PN-DSSS spread spectrum signaling is the mitigation of severe far-out multipath ISI. In a preferred 26 embodiment, this is achieved by changing the spread spectrum waveform on each 27 data symbol so that the ISI from each data symbol does not correlate with the DS
28 code on any following symbols.
29 Fig. 6 is a plot of the correlation process output for the channel impulse response of Fig. 2. The far-out multipath portion of the channel impulse response 31 58 has been truncated beyond the symbol time because each data symbol is 32 modulated by a different PN-DSSS waveform.
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PC1'IUS95/01421 1 The correlation process can be implemented by using a serial correlator or 2 a matched filter, or an approximation to either. A serial correlator (also called a 3 sliding cotrelator) tests for signal detection after a period of processing called the 4 detection interval. A detection interval is typically longer than a data symbol because more signal energy is needed to detect a signal than is needed to demodulate 6 the signal to ensure acceptable wireless LAN performance.
7 The longer detection intervals are achieved by further integrating (either 8 coherently or non-coherently) over multiple coherent-integration intervals, where 9 each coherent-integration interval is of a duration normally associated with a data symbol. After a detection interval, if signal detection is not achieved, the serial 11 correlator slides the reference timing by a fraction of a PN-DSSS code chip. The 12 number of detection intervals that must be checked is the determined by the 13 uncertainty in code timing and the amount of oversampling of the chip timing. For 14 example, if timing is completely unknown and the detection portion of the preamble is a repeated sequence of sixteen chips, with a correlation every half chip for 16 oversampling to prevent straddling loss, then no more than thirty-two detection 17 intervals are required to achieve the proper timing for detecting a received signal.
18 If the detection intetvxl is ten symbols long, the transmitter must send a preamble 19 that is 320 symbols long before sending any data. Furthermore, since the DSSS
sequence is repeated within the preamble, and detection can occur on any repetition, 21 after signal detection occurs, frame synchronization must be obtained to determine 22 which symbol is the beginning of the data stream. Since there is sufficient signal-to-23 noise ratio for detection, frame synchronization can be accomplished using a simple 24 frame sync bit pattern structure that is easily recognized.
It is commonly known that a matched filter synchronizer, or an equivalent 26 device, can test all code timing relationships in a single detection interval, and 27 therefore can serve as a fast synchronizer. The matched filter synchronization will 28 be unambiguous in timing, in contrast with a serial coselator. Various 29 approximations to a full-scale matched filter include a binary-quantized-input matched filter, or a matched filter that includes some non-coherent processing, or a 31 matched filter that performs the full timing search in several steps (but not to the 32 extent of a serial correlator).

WO 95122859 ~ ," y ,' ~~ ~ ~ ~'~ 2 3 7 6 4 D i PCTIUS95I0142t 1 The choice of whether to use a correlator or a matched filter for 2 synchronization depends on the application. A cotrelator is much less expensive and 3 less technology dependent. A matched filter is computationally intensive. A
4 correlator can be used if the application can tolerate long synchronization overheads, or if there is a means to aid the detection process using a suitable data link protocol.

7 Local-area Network Channel Access Protocol 8 A communications-channel access protocol is a set of procedures that enables 9 multiple users to access a common cottununications channel. For example, in some IO communications environments, where a plurality of transmitters use the same 11 cortununications frequency band, a communications-channel access protocol, based 12 upon throughput requirements and communications traffic priorities, requires that 13 each of a plurality of transmitters take turns transmitting over the channel. To send 14 large blocks of data, computer cottttttuttications protocols often break the data into smaller blocks called packets and send these. The packets are re-assembled at the 16 receiver. Packetizing the data allows multiple users to share the cottununications 17 channel fairly and efficiently.
18 Fig. 7 compares six known protocol types with respect to the speed of the 19 synchronizer circuit required. The protocol that is used affects which speed synchronizer is required because synchronization overhead affects average data 21 throughput. For example, signal detection in a serial correlator synchronizer is slow, 22 in general, but its speed can be improved by using prior timing information if such 23 use is supported by the protocol. The timing information can be determined by long-24 term tracking of timing at coarse resolution to minimize the timing uncertainty on each data packet. Alternatively, the timing information can be determined by central 26 control of timing through broadcast.. transmissions from a timing hub. This type of 27 cottununication system will be referred to as "time-slotted" to suggest the 28 synchronous nature of the control information.
29 If the channel is not time-slotted, but is instead random access, then the length of the data packet used is critical. If the data packets are much longer than the 31 preamble required for serial cotrelator synchronization, then the preamble will not 32 affect the communications channel throughput efficiency. However, if it is desirable ,:
WO 95!22859 'a ~ ~ PCTIUS95/01421 1 for the duration of the data packet to be short compared to the preamble, then a fast 2 synchronizer must be used to preserve channel efficiency. Short data packets are 3 sometimes required for optimizing traffic flow according to the type of data that is 4 to be transmitted, for re-transmission control, or for operating in burst-interference environments.
6 It is commonly known that a matched filter synchronizer, or an equivalent 7 device, will test all code timing relationships in a single detection interval, and 8 therefore can serve as a fast synchronizer. It is essential that the synchronizer used 9 is fast enough to obtain the low synchronization overhead required when short data packets are used.
11 Another approach is a network based on message switching instead of packet 12 switching. In message switching, communications traffic is packetized, but each user 13 of the channel transmits messages, where each message includes a series of packets, 14 and no other user can interrupt a message. The synchronization does not need to re-occur in each packet as it does in packet switching where each consecutive packet 16 can be transmitted by a different user. As seen in the chart of Fig. 7, only the packet 17 switched, random access protocol that uses short packets requires a fast 18 synchronizer.
19 If the transmissions are message switched, or if the packets are longer than the clock stability or Doppler shift will allow, then a time-tracking loop must be used 21 to maintain synchronization throughout a transmission. As an example, assume that 22 a data rate of 5 Mbps and a packet length of 200 Kbits are used, resulting in packets 23 of 40 ms duration. If the required time alignment must be held to within 20 ns 24 (which must be substantially less than the duration of a code chip) of the initial synchronization timing, then a net clock offset of 20 ppm is required between the 26 transmitter and receiver. Alternatively, a delay-locked timing control loop can be 27 used to maintain the reference code alignment with the received signal.
Alternatively, 28 an automatic frequency control (AFC) loop can be used to lock the clock 29 frequencies.
An embodiment of the transmitter for the wireless LAN communication 31 system of the invention is shown in Fig. 8. A computer interface 60 provides a 32 stream of binary data which is first divided into a sequence of data words by a R'O 95!22859 ~~ ~-~ ~~ ~~' ~ 1~ ~ ~ ~ PCTIUS95101421 1 symbol grouping module 62, each data word representing a symbol value. The 2 symbol values may be optionally passed through an encoder 64 for error correction 3 coding. For orthogonal signaling, Reed-Solomon error cotxection codes may be used 4 with symbols matched to the modulation alphabet. For bi-orthogonal signaling,.Reed-Solomon codes can be used exclusively, or a hybrid Reed-Solomon/binary coding 6 technique can be used wherein Reed-Solomon coding is used to correct the 7 orthogonal-demodulation process, and binary correction is used for symbol-to-symbol 8 phase-inversion demodulation. Erasure decoding, whereby potential errors are 9 indicated in the decoder based upon, for example, amplitude information, is an option with either orthogonal or bi-orthogonal signaling. For example, a symbol 11 error that arises during orthogonal demodulation would make suspect the validity of 12 a phase-inversion decision using the corresponding erroneous symbol.
13 More specifically, error cosection coding commonly strives to correct a large 14 number of correctable errors within a group of symbols. The group is called a "coding block". The Reed-Solomon coding block comprises a set of the original data 16 symbols concatenated with some "check" symbols that appear the same as the data 17 symbols but actually contain the coding information. As more check symbols are 18 included with the data, more data symbols which are in error can be.
corrected. The 19 ratio of data symbols to the total group size is called the "coding" rate.
For example, "rate 1/2" coding means there are an equal number of data symbols and check 21 symbols. Rate 1/2 is considered a low rate code. As a result of low-rate coding, the 22 mitlimum signal-to-noise ratio in a Gaussian noise enviromnent that the demodulation 23 can effectively operate upon is reduced, and tolerance to bursts of errors can be 24 achieved The apparatus and method of the present invention can use coding for a 26 somewhat different purpose, and thus an aspect of the present invention is to include 27 a coding approach that is generally considered unsuitable for the more common 28 coding applications, such as for satellite communications or for correcting errors on 29 hard disk drives used in computers. Those applications generally require low rate codes and large coding blocks to achieve the desired performance. In fact, there are 31 integrated circuits available that implement the common coding approaches and they 32 were found to be unsuitable for this application. As a unique problem of the wireless WO 95!22859 ' T : ~ ~~ ' ~2 2 7 6 4 0 t 1 data communications system based on direct sequence and Walsh orthogonal 2 signaling, depending on the direct sequence code being used and the actual multipath 3 delay, there can be an irreducible error rate that results from multipath self-4 interference. This means that errors appear in the demodulated data even at very high signal to noise ratios.
6 To solve this problem, a high rate code is used. That is, a small number of 7 check symbols per data block is preferably empioyed. This unique way to use coding 8 eliminates the irreducible error rate while maintaining the high throughput 9 requirements of the wireless data communications network. If the more common coding approach were used, the irreducible errors would be eliminated, but at the 11 cost of a severe drop in data throughput, and a severe increase in hardware and 12 software complexity. According to an aspect of the present invention, while such 13 costs are often deemed necessary for other applications, it is not desirable for solving 14 the multipath problem in the wireless data communications network.
The high rate error correcting code may be aided by changing the direct 16 sequence code on each symbol, which randomizes the effect of the muItipath on each 17 symbol, even though the multipath is static between symbols. Furthermore, a short 18 coding block is preferably used. The short coding block allows the high rate code 19 to provide robust packet performance even with a small amount of correctibility within each block. There are other reasons that the smaller coding block is 21 desireable: a smaller library of direct sequence codes may be used from which codes 22 are selected for changing on each symbol within a block; less latency occurs between 23 the demodulator and the computer; there are less computational requirements, and 24 less data storage is used while the correction is invoked.
For applications which must be tolerant to bursts of errors, only a large 26 coding block can be used. For random errors, on the other hand, a given code rate, 27 and hence tolerance to some average error rate, may be achieved by different block 28 sizes as long as the ratio of check symbols to block symbols is the same.
Because 29 longer code blocks offer somewhat better performance, conventional coding designs normally employ long blocks. The term "short block" as used herein means a block 31 size small enough that a given average random error rate may be tolerated with only 32 the ability to correct a single error. While conventional coding implementations must WO 95!22859 , j ' .T ~ ~"'~ ~; 'l '~ 2 l 7 b 4 01 PCTlUS95/01421 1 employ complex, iterative decoding procedures running in sophisticated processors, 2 single-error-correcting codes may be decoded directly using relatively modest digital 3 logic. Thus, the use of a short coding block allows high-data-rate error correction 4 with low delay and simple circuitry.
As a preferred embodiment, the high rate code is a single-error-correcting 6 Reed-Solomon code whereby only one symbol in each coding block may be 7 corrected. Thus a simple implementation of a decoder may be built that uses a 8 simple symbol wide feedback shift register or a look-up table containing the entire 9 decoding operation when the encoded signal is received, as described in greater detail, hereinafter. A coding block that is 15 symbols long with 2 check symbols 11 forms a single-error-correcting Reed-Solomon coding block that is rate 13/15 (also 12 written as RS(15,13)), which can handle symbol-error rates approaching 1115, and 13 which can be decoded at the receiver within a minimal time period and with a 14 minimum of computational complexity.
The basic RS(15,13) code is used for just the Walsh-Orthogonal part of the 16 signaling (with either coherent or noncoherent demodulation). For Walsh-Bi-17 Orthogonal signaling (coherent or noncoherent demodulation) it is necessary to I8 provide for correction of the binary element of the data in addition to the Reed 19 Solomon coding. At the symbol signal-to-noise ratios required for orthogonal modulation, errors in the binary portion of the waveform are several orders of 21 magnitude less probable than orthogonal-signaling errors, and hence, can be 22 tolerated. If occasionally a transmitted packet of data is lost due to a random binary 23 bit error, this will occur, on the average, much less frequently than packets being 24 lost due to too many orthogonal-signaling errors (more than a single orthogonal error in a IS-symbol block using RS(15,13)).
26 The effect, on binary signaling, of having made an orthogonal-signaling 27 error, however, is not negligible because the orthogonal demodulation is used to 28 select the processing channel upon which to perform the binary portion of the 29 demodulation. For coherent bi-orthogonal, for example, the occurence of an crror in the orthogonal waveform decision will cause a 50~ probability of error for the 31 corresponding binary bit. On the other hand, for noncoherent bi-orthogonal 32 signaling, the occurence of an orthogonal-signaling error will cause a 500 WO 95/22859 j V 1 ~! ~~~ 1~ ~' 2 3 7 b 4 0 ~ PCT~S95/01421 1 probability of error on the two DPSK bits which use that complex amplitude in 2 forming a DPSK decision. Fortunately, the strong correlation between orthogonal-3 signaling errors and binary errors makes erasure decoding attractive, and erasure 4 decoding requires fewer check bits than for random error correction.
As a specific case, the preferred coding for Walsh-Bi-Orthogonal signaling 6 with 5 bits per symbol employs a 15-symbol block with 13 5-bit information 7 symbols. The two 5-bit check symbols provide for correction when an arbitrary 4-bit 8 orthogonal demodulation error occurs. After the R-S FEC has located and corrected 9 the 4-bit orthogonal-signaling error, then the location of the suspected pair of DPSK
bits, likely to be in error, is known. The binary (fifth) bits for each of the 5-bit 11 check symbols conveys, respectively, parity for the even and odd sets of binary bits 12 demodulated. This means that the adjacent binary DPSK bits are checked by 13 different parity bits which makes parity checking useful for DPSK in which errors 14 are likely to appear in pairs. Because random binary errors can be ignored, it is assumed that a single error can occur in either binary data group (even or odd) and 16 the location of the binary bit that is suspect is known when an orthogonal-signaling 17 error has been made. Hence the pair of parity bits is sufficient to correct the binary 18 data.
19 Referring again to Fig. 8, the data modulator 66 translates its input data into corresponding Walsh function symbol waveforms, and an appropriate phase change 21 is then optionally added between symbols. The data modulator 66 translates its input 22 symbol value into corresponding Walsh-function symbol waveforms by selecting 23 from either a stored set of waveforms, or by selecting corresponding logic in a 24 digital waveform generator. For the bi-orthogonal or differentially bi-orthogonal modulation, the phase inversion control is accomplished by either complementing or 26 not complementing the binary Walsh-function output so as to increase the 27 information content of the symbols, thereby increasing the data rate. An exclusive 28 OR logic gate 72 then combines the resultant waveform with a PN-DSSS
waveform 29 69 generated by a direct sequence pseudonoise generator 70. The output of the logic gate 72 drives an RF modulator 74 that provides a transmit signal 76, which is then 31 amplified by an RF amplifier 78 for broadcast over an antenna 80 as packets of data.

217 6 4 Q i p~~7gg5/01421 W O 95122859 ~ !,'~ .~? ~ "t 1 The order of application of the modulations provided by the modules 70, 72, 2 and 74 are unimportant, and can therefore be reversed. Also, the RF
modulator 74 3 can be implemented in stages, for example, by first employing intermediate 4 frequency modulation, then employing modulation with a final transmitted frequency, with associated filtering.
6 The data modulator 66 can incorporate any phase shift modulation, in addition 7 to the selection of the Walsh function. Coherent M-ary PSK, or non-coherent 8 differential phase shifts between symbols, such as DPSK, DQPSK, or differential M-9 ary PSK, can be used to increase data rate when signal-to-noise ratio is sufficieptly high. Appropriate error correction encoding can be used in conjunction with these 11 modulation schemes.
12 With reference to Fig. 9, in one embodiment of the invention, a receiver 84 13 includes a rapid synchronizer 82. The output of the rapid synchronizer 82 controls 14 the timing of the combination Walsh-function and PN correlator 86 and the PN
reference generator 83. Various implementations of a Walsh-functionldirect sequence 16 correlator, such as the Walsh-functionlpseudonoise correlator 86 of Figs. 9 and 10 17 are provided in Figs. 12, 13, and 14. Schemes for fast synchronization are well-18 known in the art, and can be used in a variety of forms with this invention. One.
19 example is a matched filter. Another example is an aided-acquisition correlator. The rapid synchronizer 82 must include a detection circuit with a detection threshold 21 level. The threshold level may be fixed or it may be determined as a function of 22 received signal level.
23 The correlator 86 drives a demodulator 88 that performs a maximum 24 likelihood decision, or an approximation thereof. The correlator 86 has a plurality M of outputs, the number M of outputs being equal to the order M of the M-ary 26 signal 85 to be demodulated. The particular output of the M outputs having the 27 largest magnitude will most likely correspond to the reference waveform that 28 matches the waveform that was transmitted. Accordingly, the M outputs of the 29 correlator 86 drive the demodulator 88, which selects the largest magnitude output from among all the correlator 86 outputs.
31 Any phase shift data modulation that is used in addition to orthogonal 32 modulation can be ideally demodulated by correlating against all possible waveforms s~~:~~c~~svS. 2.17640 W0 95/22859 PC'T/US95/01421 1 in the demodulator 88. Alternatively, phase shift keying (coherent or noncoherent, 2 and within a symbol or between symbols) can be demodulated separately by 3 operating the demodulator 88 only on the selected orthogonal values resulting in 4 insignificant loss in performance.
In an exemplary embodiment, for DPSK combined with M-ary orthogonal 6 signalling, the M-ary orthogonal wavefotms in each symbol pair are first 7 demodulated. The outputs of the correlators that contained the largest outputs on 8 successive symbols would then be used in tile DPSK demodulation. In another 9 exemplary embodiment, for coherent PSK combined with M-ary orthogonal signalling, the M-ary orthogonal waveforms in each symbol are first demodulated.
11 The output of the correlator that contained the largest output for each symbol would 12 then be compared to a phase reference in the PSK demodulator.
13 In the demodulator 88, after demodulation is performed, each demodulated 14 symbol is then decoded for errors, if error correction coding was employed in the transmitter. The decoded symbols 89 are then concatenated within the data interface 16 92 to form a binary data stream to be received by a computer.
17 Note that no delay-locked timing control loop is included, because it is 18 assumed that the packets are short enough to require rapid synchronization.
19 However, a delay-locked loop or an AFC loop can be included if the packets are nevertheless too long for the timing drift specification, or if a variable length packet 21 is desired.
22 With reference to Fig. 10, an embodiment of a receiver of the invention is 23 shown that uses correlator synchronization, and includes an optional delay-locked 24 time-tracking control loop 90. Any of the Walsh wavefotms can be used as a synchronization signal transmitted at the start of a packet. As an illustrative example, 26 the lowest order waveform Wo will be used. In this case, the correlator 86 performs 27 a serial correlator search for the PN code timing, using timing information as an 28 input from a timing control module 87. The output signal Wo is detected by a 29 comparator 93, which can be analog or digital, depending upon the implementation technology of the correlator 86. The output signal of the comparator 93 is received 31 by a synchronization detector 95. The synchronization detector 95 then prevents 32 further searching for a signal and enables the demodulation process.

.:,;~
::~~~'f;.~; ~~~. ,. 217b401 1 In an exemplary embodiment, the second input 94 to the comparator 93 is 2 determined by the threshold estimation module 98 that sums the respective 3 magnitudes of the outputs of one or more of the other channels 96. Since these 4 channels 96 are performing orthogonal correlation with respect to the synchronization signal that is transmitted, the channels 96 provide a measure of the noise and 6 interference power in the receiver. In the absence of noise and interference, only one 7 of the channels 96 would be active. However, some degree of noise and interference 8 is inevitable, and therefore each of the channels 96 is active to some extent.
9 Combining a number of these channels 96 allows noncoherent averaging of the noise and interference power of the received signal, thereby providing a detection 11 threshold level that adapts to maintain a nearly constant false alarm rate, where a 12 false alarm is an erroneous interpretation of noise or interference as a true 13 correlation signal. Using simultaneous correlations in orthogonal channels to 14 establish the detection threshold level is superior to methods which average the level of a single correlator over a period that straddles multiple output samples because 16 such methods experience transient response problems.
17 The demodulator 88 of Fig. 10 is the same as the demodulator shown in Fig.
18, 9. Note that the optional time-tracking function 90, used to maintain synchronization 19 during long packeu, is explicitly indicated in Fig. 10, whereas the time-tracking function is implicit in Fig. 9. Methods for implementing the time tracking module 21 90 are well-known and include early/late correlation and time dither, and also 22 include AFC if the source of timing drift is clock offset or Doppler.
23 An example of a data packet structure 100 that can be used with the invention 24 is shown in Fig. 11. The data packet structure 100 includes a header portion I01, a data portion 102, and a trailer portion 103. The header portion 101 includes a 26 preamble 104, a source address I06, a destination address 108, and a packet length 27 110. The preamble includes the synchronization signal, and optionally includes 28 signals that the receiver can use to verify that a detection event occurred. The length 29 of the preamble 104 is determined by the type of synchronization used. The preamble 104 can also be followed by other control information, such as error 31 correction type or error checking on the control information itself. The body of the 32 packet holds the data 102. The trailer 103 includes a cyclic redundancy check code ;.. :- 'a WO 95/22859 ~J '~ ~ ~ ~ k~ f~ ~' ~ 1 l 6 4 01 p~~g95f01421 1 112 for final error detection. The trailer can also include acknowledgment 2 information 114 regarding the successful or unsuccessful receipt of previous packets;
3 this is known as "piggybacked" acknowledgements.
4 Figs. 12, 13, and 14 show details of the combined Walsh-function and PN
correlator block 86, and the data demodulator block 88 of Figs. 9 and 10. For 6 purpose of illustration only, these examples will use an 8-ary Walsh modulation to 7 provide 3 bits per symbol. However, it should be recognized that the same circuits 8 can be applied to orthogonal signaling of an arbitrary number of bits per symbol, 9 including binary orthogonal signaling.
Pseudonoise (PN) removal can be performed directly on an intermediate 11 frequency, or on the transmission frequency, by at least one mixer I 15 and at least 12 one bandpass filter 116, as shown in Fig. 12. If the Walsh-function coding does not 13 occupy the full spread spectrum bandwidth (i.e., if there is more than one PN chip 14 per Walsh-function clock cycle), then the bandpass filter 116 can filter to the Walsh-function bandwidth, resulting in a partial correlation. In this case, the bandpass 16 filter 116, which can be implemented as a surface acoustic wave (SAW) filter, 17 provides a square-shaped impulse response that filters the input wavefotm so that it 18 falls within the bandwidth of the Walsh-function modulation. This filtered signal 117 19 is then split and sampled in I and Q channels by respective mixers 118, low pass filters 120, and AID converters 122 thereby forming a complex representation of the 21 signal 117, the I channel representing the real component, and the Q
channel 22 representing the imaginary component of the signal 117. The output of the A/D
23 converters 122 is received by the Walsh-function demodulators 124 that correlate the 24 signals with a reference Walsh functions. The outputs of the correlators 124 are envelope demodulated in a combining circuit I26 that provides an envelope output 26 for each set of the eight sets of complex (I and Q) channels for the 8-ary modulation.
27 The eight envelope outputs are compared in a 8-way comparator 130 to provide a 28 largest magnitude index indicating which complex correlator 124 yielded an envelope 29 output having the largest magnitude. The largest magnitude index indicates the most likely data symbol transmitted, as determined by the linear correlation process 31 performed in the correlators 124. The data decoder I32 receives the largest 32 magnitude index and the eight envelope outputs, and performs either a direct ~ ~'~4O 1 1 decoding to a binary stream of the selected Walsh-function correlator envelope 2 output, or performs an optional Reed-Solomon, or hybrid Reed-Solomon and binary 3 code error decoding if bi-orthogonal signalling is also used.
4 Fig. 13 shows and exemplary embodiment wherein PN removal is performed after analog-to-digital conversion, and immediately prior to performing Walsh-6 function correlation. It is also possible to perform PN removal at baseband using an , 7 analog multiplication prior to AID conversion (not shown). The demodulator can be 8 the same as the demodulator 130, 132 used Fig. 12, or DPSK can optionally be 9 added between symbols. This form of signalling is called the non-coherent bi-orthogonal signalling, because DPSK is used.
11 To perform the DPSK demodulation, the output 152 of the 8-way magnitude 12 comparison module 150, which module determines the largest correlator output, is 13 used in selector 146 to multiplex to its output, from among the 8 complex amplitudes 14 145, the complex amplitude 147 of the largest signal, which complex amplitude 147 is to be used in the DPSK demodulation.
16 The DPSK decision is made using the selected outputs of two successive 17 symbols in the complex multiplier 158 by using a symbol delay 154, taking the inner 18 product of the largest amplitude correlator outputs and deciding the sign of the . ' 19 result. Independently, the index of the largest of each symbol is saved in a symbol delay module 156 as the correct value of the Walsh-function signaling. The data 21 decoder 160 receives the Walsh demodulation result from the symbol delay 22 module 156 and the DPSK demodulation result from the complex multiplier 158.
23 These results are combined in the data decoder 160 by concatenating the single-bit 24 DPSK answer with the 3-bit Walsh-correlator answer to obtain a 4-bit output (16-ary alphabet) on each symbol. Optionally, the data decoder 160 applies an error 26 correction algorithm. The data decoder 160 then converts each resulting symbol into 27 an equivalent binary data sequence for processing by a computer (not shown). The 28 data decoder 160 serves to invert the operations performed by modules 62, 64, and 29 66 in Fig. 8: Note that symbol delay 156 is optional in accordance with which particular symbol aligns with the transmitted DPSK modulation. With symbol delay 31 module 156 in place, the DPSK result aligns in the data decoder 160 with the Walsh- ' . wo 9sizzss9 :: ~;,;:''~ ;"~ ~j ~~ 217 6 4 0 l 1 function symbol that was transmitted during the leading symbol of the DPSK
symbol 2 pair.
3 Fig. 14 shows a single channel demodulator for use with a coherent phase 4 reference signal 164. An IF signal 166 is filtered by a bandpass filter 168.
The filtered IF signal is multiplied by the coherent phase reference signal 164, which is 6 provided by a carrier recovery loop (not shown). The resulting signal is low pass 7 filtered by a low pass filter 170, and is then converted to a digital signal by an 8 analog-to-digital converter 172. The resulting digital signal is despread by a PN
9 correlator 176 using the PN reference code 174, and the resulting despread signal is then Walsh-function demodulated in a Walsh correlator 178. Any of the above 11 described techniques for PN removal and Walsh-function demodulation can be 12 applied, and can be applied in any order. If the PN spreading code is a higher rate 13 modulation than the Walsh modulation, then the despread PN can be collapsed to the 14 Walsh bandwidth in the PN correlator 176. Because the phase reference signal 164 is used, only a single channel (channel I) is required in this correlator. A
sign 16 stripping module 180 strips the sign bit from the digital signal provided by the walsh 17 correlator 178, and an 8-way compare module 182 determines which correlator 18 output of the correlator 178 is the largest. Since the phase reference signal 164 19 preserves coherence, optional PSK modulation can be used to provide coherent bi-orthogonal signalling. Demodulation requires that the sign bit of the largest value be 21 selected in the sign register 184. A data decoder 186 optionally performs error 22 detection and correction, and disassembles the symbol groups of the signal provided 23 by the 8-way compare module 182 into a binary data stream for processing by a 24 computer (not shown).
26 Walsh-Function Signaling 27 The first eight Walsh functions are shown in Figs. 15A-15H. The lowest 28 order Walsh function is shown in Fig. 15A, and the other Walsh functions are shown 29 in ascending order in Figs. 15B-15H. The lowest order function is referred to as Wo.
Since in a communications environment the Walsh functions are a function of time, 31 the WaIsh functions may also be represented as W(n,t) or WAL(n,t), where n is the 32 order of the particular Walsh function, and t represents time.
', .~ s, . ~ O , PCT'IU595101421 1 The Walsh functions are digital waveforms each being mutually orthogonal 2 with respect another Walsh waveform of different order when multiplied therewith, 3 i.e., the integral of the product of any two Walsh functions of different order being 4 equal to zero. The order of each Walsh function is equal to the number of binary transitions exhibited by the function. For example, WAL(O,t) does not have a binary 6 transition, whereas WAL(2,t) has two binary transitions. Equivalently, the Walsh 7 function waveforms can be viewed as having one or more binary states over the 8 duration of the wavefotm, wherein a binary state can be of a duration no greater 9 than a minimum duration, called a Walsh chip.
For each symbol of a message, one of these digital waveforms can be 11 logically combined by an exclusive-or logic gate with a direct-sequence spread I2 spectrum code to create another digital waveform that can be used to phase modulate I3 a carrier that has been modulated by the message.
14 Fig. 16 shows four probability curves. A curve denoted by DPSK shows the probability of correctly demodulating a 1024-bit packet of data using DPSK
spread-16 spectrum signaling as a function of normalized signal-to-interference (S/I) in decibels 17 (db). Three additional curves, denoted by the data rates (in bits per symbol) 8 b/s, 18 4 b/s, and 2 bls, show the probability of correctly demodulating a 1024-bit packet 19 of data using M-ary orthogonal signalling with 8, 4, and 2 bits per symbol, respectively. It must be stressed that M-ary orthogonal signaling is a form of coding;
21 if the DPSK modulation were combined with coding, it would also shift to a lower 22 required signal-to-interference ratio.
23 Fig. 17 shows the same curves on an expanded scale. Note that the use of 4-24 ary orthogonal (2 bitslsymbol) is substantially equivalent to DPSK, and that a higher signaling alphabet (4 b/s or 8 b/s) significantly improves performance. For an 26 uncoded link, the above curves imply that, for a given bandwidth, the S/I
ratio that 27 can be tolerated at the receiver by combining M-ary (M > 2) orthogonal signaling 28 with PN-DSSS spread spectrum is larger than the SII ratio that can be tolerated by 29 combining PN-DSSS spread spectrum and either binary (M = 2) signalling or DPSK. Conversely, for example, a transmission using 4 bits/symbol and a PN-31 DSSS bandwidth of 80 Mhz can tolerate as much interference at the receiver as a 32 transmission using DPSK and a direct-sequence bandwidth of about 130 Mhz!
If;~,.f~~t~ ~;; X176401 W095122859 , PCTIUS95101421 1 A rotation of the PN-DSSS code, known as cyclic code-shift keying (CCSK), 2 provides an orthogonal set with some of the advantages of using the Walsh functions, 3 such as the property that the bandwidth required for orthogonal signaling can equal 4 the direct-sequence bandwidth, without further expansion of the signal bandwidth over that of the PN-DSSS code. Use of CCSK results in a correlator output 6 waveform that is pulse-position modulated (PPM). However, in a multipath 7 environment, the PPM-like behavior of CCSK can be problematic because an 8 important feature of the signal, the delay discriminant used for demodulation, can 9 be incorrectly interpreted as multipath. Thus, the use of CCSK is not preferable to the use of Walsh functions in a multipath environment.
11 If the bandwidth expansion due to the orthogonal signaling is much smaller 12 than the direct-sequence spreading, then any orthogonal set can be used; in this case 13 a convetuent choice is a set of tones (i.e., M-ary FSK) which is demodulated using 14 a fast Fourier Transform (FFT) technique after the spreading code is stripped off.
IS However, when the spreading due to the orthogonal signaling approaches that due 16 to the DSSS modulation, the actual transmission bandwidth depends upon both the 17 direct sequence and orthogonal modulation since the pair of modulations cannot be 18 synchronously superimposed in any way because they are drastically dissimilar 19 modulations.
Even though both CCSK and Walsh functions have the property that the 21 bandwidth required for orthogonal signaling can egual the direct-sequence bandwidth, 22 without further expansion of the signal bandwidth over that of the PN-DSSS, CCSK
23 cannot be used effectively in a multipath environment. Thus, for the purpose of 24 limiting bandwidth and enhancing performance in a multipath environment, the Walsh functions are preferable to CCSK.

27 Walsh Function Correlation Processor 28 For this discussion, assume a received signal has been modulated using both 29 PN-DSSS and Walsh functions. Also assume that, in the receiver, the reference PN-DSSS code for demodulating the received signal is properly aligned with the received 31 signal, where synchronization is achieved by using, for example, a matched filter or 32 a time-sliding serial correlator. Further, assume that the received signal and the ~' w'r~ i~' ~ ~ '~ ' ~ ~ ~ PCTIUS95/01421 1 local reference signal are multiplied together to form a despread signal, and that the 2 despread signal is then low-pass filtered to facilitate processing the highest-order 3 Walsh function. (For example, the highest-order Walsh function can have a 4 bandwidth that only includes frequencies that are less than the DSSS chip rate.) The despreading operation has the effect of removing the PN-DSSS code, leaving only 6 the Walsh function modulation.
7 The discussion below considers in-phase baseband processing. In an actual 8 implementation, since carrier phase is usually unknown, the signal is converted to 9 in-phase and quadrature channels, and the in-phase processing described below is performed in each channel, followed by envelope combining of the corresponding 11 amplitudes before data decision.
12 One way to obtain the required correlations in the Walsh function correlation 13 processor (e.g., modules 86, 124, 144, 178) is to implement a fully parallel fast 14 Walsh transform. This approach becomes attractive only as the order of the Walsh IS functions becomes large. A preferred method for executing a fast Walsh transform 16 is to exploit the mathematical structure of the Walsh functions by computing the 17 Walsh function coefficients using a plurality of basic cells, shown in Fig.
22, 18 interconnected as a tree structure having successive stages, as shown in Fig. 23. The 19 clock rate of each successive stage is reduced by half with respect to the previous stage, and each successive stage has twice the number of cells, thereby keeping the 21 computation rate per stage the same at each stage. The power consumed per stage, 22 mostly dependent on computation rate, is therefore also nearly constant.
23 Furthermore, the number of computation elements is far fewer than the number 24 required in the fully parallel fast Walsh transform.
The parallel fast Walsh transform requires M(log M) computation elements 26 per M-ary output. By contrast, the tree structure shown in Fig. 23 uses 2(M
- 1) 27 computation elements per M-ary output. Therefore, at larger values of M, the tree 28 structure of Fig. 23 is superior to the parallel architecture (not shown) for calculating 29 the Walsh transform, because the number of computation elements per M-ary output is significantly less in the case of the tree structure. Both structures perform the 31 same number of computations per symbol. The tree stricture provides an tradeoff 1 WO95122859 ~ /' i,~~ (~ .~~.';~ ~ ~ ~ ~ pCT/US95101421 1 that is advantageous when implementing it as an integrated circuit, in that quantity 2 of hardware can be traded for hardware operation rate.
3 Referring to Fig. 22, a basic cell 250 accepts input samples serially at input 4 252 at a rate f;~, and generates two output samples in parallel at outputs 254 and 256 at a rate f;~/2. Thus, a serial pair of input samples forms a parallel pair of output 6 samples. One output sample of the output pair is the sum of a current pair of serial 7 input samples, and the other sample of the output pair is the difference of these two 8 input samples.
9 Fig. 23 shows a tree 252 of basic cells 250 for decoding the first eight Walsh functions Wo - We. Note that through the application of arithmetic sums and 11 differences, each path through the tree represents a multiplication of the input 12 sequence by a specific combination of (binary) square-wave functions and summing 13 the result. In fact, the specific square-wave function for each path is a product of 14 Rademacher functions, whose products are known to generate the Walsh functions.
Also note that the tree structure naturally conserves power because each 16 successive stage includes twice the number of elements as the previous stage, but 17 runs at only half the clock rate of the previous stage. Further, layout of the design 18 on an integrated circuit is simplified, because the higher fanout signal distributions 19 operate at proportionally lower rates. Therefore, slower circuits are connected by longer signal routes, as is desirable in an integrated circuit.
21 The Walsh function correlation processor can be implemented using a field 22 programmable gate array, although the detailed implementation technique is not 23 relevant. Field programmable gate array implementations are facilitated by the tree 24 structure because the higher fanout routes of such an implementation, being longer, can operate more slowly. Alternatively, the processor can be implemented entirely 26 in software executed by a digital signal processing microprocessor. For high 27 bandwidths, the processor can be efficiently implemented using a charge-transfer 28 device (CTD).

Charge-Transfer Device Implementation 31 Charge-transfer devices (CTD) include charge-coupled devices (CCD), 32 acoustic-charge-transfer (ACT) devices, and bucket-brigade devices (BBD).
Each of i ~''I'j~'~.~ ~ ~~ 76401 PC1'IUS95101421 W O 95!22859 I these technologies represent signals as electronic charge, and process the signals by 2 manipulating electronic charge. CTD technologies can perform both synchronization 3 and demodulation. A CTD can take discrete-time analog samples at its input, 4 perform all the signal processing, and provide the resulting digital data decisions at its output. Since the CTD input is a capacitive storage cell, the analog signal is 6 inherently sampled as the CTD input is clocked. This operation is similar to the 7 sampling capacitor in a sample and hold circuit.
8 Alternatively, a digital approach requires high speed D/A converters that are 9 costly. By contrast, the input linearity of a CTD supports far more processing gain than is needed for this application, at sampling rates of 50 Msps for CCD
devices 11 to 360 Msps for ACT devices. These sampling rates include a factor-of two 12 oversampling, relative to the signal bandwidth, to prevent excessive straddling loss.
13 Higher sampling rates are possible by operating two devices in parallel and 14 staggering the clocks. The signal can be processed with analog precision against the binary digital reference signal.
16 A Walsh demodulator can be cotlfigured using a CTD 190. as shown 17 schematically in an exemplary embodiment in Fig. 18. The electrical input to a CCD
18 190 is connected to signal charge injection wire 191 which is bonded to the surface 19 of the substrate at input electrode I92. A clock signal on the clocking electrodes 195 transfers the sampled charge packet serially along the row of charge storage cells 21 193. After each clock period, during which period, each charge storage cell receives 22 the charge packet previously stored in the charge storage cell to its left, the signal 23 sensing electrodes 194 read the level of charge stored in each cell.
24 Alternatively, in an ACT, signal samples are handled similarly, but the clocking electrodes of the CCD are replaced by the electric potential of a traveling 26 surface acoustic wave. In a BBD, the clocking of signal charge is effected via 27 clocked pass transistors, but the signal treatment is analogous.
28 A Walsh demodulator requires sample delays for providing storage of 29 wavefotm samples, as is provided in the charge storage cell 193 that is within the substrate beneath the clocking electrodes 195, and beneath the signal sensing 31 electrodes 194. Walsh combination circuits 198 perform Walsh cotrelations on 32 signals provided by the signal sensing electrodes 194, thereby providing a plurality W 0 95122859 ; ~- ' ~~ C i."s x ~ ..', ~ ~ ~ ~ PCTIUS95101421 1 of envelope outputs. Then, a magnitude circuit and M-way compare circuit 200 2 provide a largest magnitude index signal 201 indicating which correlator of the 3 Walsh combination circuits 198 yielded an envelope output having the largest 4 magnitude. The largest magnitude index signal 201 is provided to a detect/data decode circuit 202 which performs data demodulation upon the signal.
6 If the PN-DSSS code is of a higher bandwidth than the CTD can support, the 7 bandwidth of the received signal can be reduced before being processed by the CTD
8 by removing the PN-DSSS modulation in a pre-correlator, after DS chip timing has 9 been established during the synchronization cycle. The CTD can then performing Walsh correlations, data demodulation, and data decoding.
11 Establishing synchronization can also be performed in the CTD, either by a 12 reconfiguration of the demodulation CTD channels, or by a separate CTD
channel 13 operating in parallel. If the same chip rate is preferred for both synchronization and 14 demodulation, and if the preferred chip rate is higher than 25 MHz (for a 50 Msps device), parallel CCDs may be used, combined with a multiplexing structure to 16 implement a matched filter.
17 Alternatively, the ACT technology could be used because of its higher I8 inherent sampling rates. As another alternative, since there is no baud rate 19 requirement for synchronization, a longer symbol can be used with a lower PN-DSSS code rate, thereby preserving processing gain.
21 The number of code chips in the matched filter can be further increased so 22 as to provide a robust synchronization preamble. Precise timing can then be achieved 23 in a sequential operation. In this way, for example, a spread spectrum code rate of 24 25 Mhz can be used for synchronization, while a Walsh chip rate of 25 Mhz can be used to encode data modulated by a 75 Mhz spread spectrum code that can be 26 removed in the pre-correlator.
27 An important advantage of CTDs is that all associated support circuits and 28 the storage cells can be integrated on the same device. Since modern CCDs use 29 storage that resembles a dynamic RAM, CCD technology has benefitted directly from advances in packing density and speed of DRAM technology.
31 The magnitude and 8-way compare circuit 200 and the detection and data 32 decode circuit 202, (and optionally timing and frequency control loops), for example, ,r_t...;....:a.
W~95122859 ~ j PCTIU595101421 1 are integratable directly on the device output, thereby greatly simplifying output 2 processing.

4 Digital Implementation The chip architecture is based on the basic cell and tree structure of Figs.

6 and 23. This architecture is efficiently achieved as in an integrated circuit (IC) or as 7 a field programmable gate array (FPGA), since it is register-intensive and tree-like 8 in form. A benefit of the tree architecture is that, even thought each stage includes 9 the twice the amount of circuitry as its preceding stage, the later stage is only required to operate at half the speed of its preceding stage. The power distribution 11 on the chip is thereby evenly distributed, and routing requirements of the most I2 speed-intensive circuits are reduced. Consequently, the higher-speed input stages can 13 use optimized routing. Also, the last stage, which operates relatively slowly and 14 which requires many routing channels due to having the highest adder fanout, can be placed without constraint.
16 Communication over a non-Gaussian cotlunuttications channel requires that 17 a digital signal processor receive a wider input word than communication over a 18 Gaussian communications channel. In a Gaussian channel, good signal normalization 19 can be used to reduce the number of bits per input word to as low as one, thereby providing substantiai hardware savings.
21 With reference to Fig. 19, to accommodate non-Gaussian interference, and 22 to reduce the accuracy required of the signal normalization circuits (e.g., automatic 23 gain control), the embodiment of Fig. 19 uses 6 bit per word input samples 206 (5 24 bits plus a sign bit). A series of clock signal dividers 205 provides progressively slower clock signals. The input samples 206 are clocked into an input register 207.
26 The first stage add/sub module 208, shown in detail in Fig. 19A, operates on the 27 six-bit two's-complement input 209 with sign extension to produce a seven bit output 28 211.
29 To support 10 Mbps 8-ary signalling, the addlsub block 208 must operate at a 26.67 MHz clock rate. This is because a symbol rate of 3.333 Msps (million 31 symbols per second) is required with eight Walsh chips/symbol (for 8-ary 32 modulation) to achieve 10 Mbps with 3 bits/symbol.
1 Referring to Fig. 19A, clock signal A is twice the speed of clock signal B.
2 having been divided by a factor of two by a clock signal divider 205.
Consequently.
3 an adder 210A and a subtractor 210B operate in parallel to provide a pair of outputs 4 at a rate that is half the rate that input samples are presented to the add/subtract S module 208.

7 Clocking 8 After a pair of input samples are loaded into an input register 208A of the 9 first add/subtract module 208, the results of adding and subtracting operations performed by modules Z10A and 210B, respectively, are latched out upon the arrival 11 of the next input sample. Thus, even though the add/subtract module 208 operates 12 on a pair of samples at a time, the result must be ready in a single sample time.
13 Similarly, the second stage Add/Sub blocks 212 operate on a pair of output samples 14 211 of the first stage Add/Sub block 208. The results must be latched out to the next stage before next input samples arrive.
16 The third stage add/subtract modules 214 have been modified so that the 17 output register 216 is placed after the 8-way compare 218, thereby eliminating an 18 extra frame delay, as well as eliminating M-1 registers (where M = 8, in this 19 example). The third stage add/subtract modules 214, and the 8-way compare circuit 218, operates at one fourth the input rate. If double buffering were used at the input 21 to each stage, the computation rates would be halved, because an extra set of 22 samples would be stored while awaiting processing.
23 There is typically some skew (delay) between the arrival of the clock signals 24 at the latches of the inputs and the outputs of each stage. The difference between the latest arrival time of the input clock to the earliest arrival of the output clock, if 26 positive, must be added to the maximum delay path of the logic to determine 27 clocking rate. Excess delay may be added to the output clock to increase the speed, 28 provided care is taken that minimum hold times are met for the shortest possible 29 logic delay path.
The 8-way compare circuitry 218 is shown as an inverted binary tree 31 structure having one half as many elements in each successive stage as in a previous 32 stage. Since a single receiver channel is shown, the coherent carrier reference case -~ i~:.~ r;'~';
WO 95!22859 ~ ~ ~ ~ ~, v 1 PC'r~S95101421 1 is assumed, as shown in Fig. 14. Thus, envelope detection is just a sign stripping 2 function. First, the magnitude of each nine-bit envelope signal from the add/subtract 3 modules 214 is determined in the sign-strip modules 220. Then, magnitude 4 comparisons are performed in pairwise fashion at each stage resulting in a.single magnitude, of the largest byte, from a winning correlator. The value of the largest 6 byte of each comparison is passed along to the next stage, while the index of the 7 corresponding cotrelator is interpreted by the 7-to-3 decoder 222 as the orthogonal 8 data demodulation result.

Architecture for full I and Q processing il In Fig: 20, the pipeIined architecture described in Fig. 19 is duplicated for 12 the Q channel, wherein the circuitry for the I and Q channels are combined, with the 13 8-way compare circuitry, to provide full I and Q processing. Fig. 20 shows how 14 quadrature-channel combining is performed, using the well-known approximation of adding the output of the largest value of the I 230 or Q 23I channels on each output 16 pair to one half the output of the smaller value, in the combine I and Q
blocks 232.
17 Therefore, the sign stripping, as performed by a sign strip module 220, is still 18 necessary on each channel.
19 According to the invention, the circuitry of Fig. 20 can be partitioned so as to provide a plurality of identical or nearly identical integrated circuits, the integrated 21 circuits each being a cascadable structure suitable for combining with similar 22 integrated circuits to form M-ary Walsh demodulators of arbitrary values of M.
23 The most direct way of accomplishing this partitioning, such that it becomes 24 possible to partition the circuitry of Fig. 20 into FPGA chips, or into multiple custom or semicustom integrated circuits, is to place a single Walsh correlator on 26 each chip. Additionally, the I and Q combining circuits are placed on a third chip 27 that also includes 8-way compare circuitry. This approach to partitioning requires 28 that each Walsh correlator chip include 64 output lines (8 bits by 8 channels), and 29 that the combiner chip include 128 input lines. This amount of I/O is excessive, resulting in high cost and reduced reliability.
31 Referring to Figs. 21A and 21B, the partitioning approach taught by the 32 invention is to divide the cituuitry into an upper segment 240, shown in Fig. 2IA, 1'~ ~i ~~ f '. ' ~ ~ ~ ~ 4 ~ ~ pCf/U995101421 WO 95122859 ' ' 1 and a lower segment 242, shown in Fig. 2IB, keeping the I channel 244 and Q
2 channel 246 of each segment together on the same chip. The upper and lower 3 segments 240 and 242 are not connected until after the final comparison of the 4 comparison tree 248. The upper segment circuits 240 can be placed on one chip, and the lower segment circuits 242 can be placed on another chip. Only twenty four data 6 lines are required to connect the two chips.
7 In the 8-ary circuitry shown in Figs. 21A and 21B, after the first stage, seven 8 lines in each of the I and Q channels are for interfacing to the other chip, and four 9 complex correlators (244, 246) are included on a chip. The four I and four Q
IO correlators (244, 246) on each chip are identical to those in Fig. 20, but relate to 11 only half the tree structure shown in Fig. 20. After the four I and Q
results are 12 combined on each chip, they are reduced to a single largest value in a 4-way 13 compare module 248. This largest value (an 8-bit amplitude), along with two 14 decoding lines, is exported to the other chip where it is compared to the result from the other half of the comparison tree, whereupon the largest of the two values is 16 decoded. The result is a three bit word representing a demodulated symbol.
17 The circuitry may be further subdivided by parsing each section 240, 242 18 similarly into two smaller chips. Similarly, the chips may be cascaded in the case of 19 higher order alphabets, i.e, higher values of M. It is also possible to form a more symmetric partitioning by having one chip serve as a front-end source that feeds 21 individual segments of the tree. For improved operating speed, necessary for higher 22 alphabets, the number of signal lines between chips can be traded against speed of 23 a speed-optimized front end. The symmetric front-end sout~e is obtained by splitting 24 the first stage Add/Sub block with the sum output feeding the upper segment and the difference output feeding the lower segment. A single input line can determine 26 whether that stage is an adder or subtractor.
27 This approach allows use of multiple FPGA technology chips, or the use of 28 multiple custom or semicustom integrated circuits, while maintaining modest size and 29 interconnect complexity in each chip to increase yield and reliability.
This approach allows a single chip of common circuits to be cascaded vertically and horizontally 31 by a user to create arbitrarily large alphabets.

l ~'~~'~ jW,~:: 217b4Q1 W0 95f22859 PC1'1US95/01421 1 Other modifications and implementations will occur to those skilled in the art 2 without departing from the spirit and the scope of the invention as claimed.
3 Accordingly, the above description is not intended to limit the invention except as 4 indicated in the following claims.

Claims (101)

CLAIMS:
1. An apparatus for communicating data between at least two data devices, the apparatus comprising:

(a) means for acquiring data from a data device;

(b) means for representing the data as a sequence of digital waveform symbols, the digital waveform symbols being selected from a set that includes more than two unique digital waveform symbols each digital waveform symbol being characterized by a symbol duration, wherein each of the unique digital waveform symbols is orthogonal with respect to each other unique digital waveform symbol in the set, and further wherein the means for representing the data as a sequence of digital waveform symbols includes:

(I) means for grouping the data into a sequence of groups of N bits each, each group representing a symbol selected from 2N possible data symbols; and (ii) data modulation means for representing each data symbol as a digital waveform symbol so as to form the sequence of digital waveform symbols;

(c) means for generating a direct-sequence spread spectrum encoding signal;

(d) multiplying means for combining the direct-sequence spread spectrum encoding signal with the sequence of digital waveform symbols to provide a transmit signal;

(e) modulator means for modulating a carrier signal in accordance with the transmit signal to provide a modulated signal; and (f) means for transmitting the modulated signal;
wherein said apparatus further includes (I) means for applying differential multiphase phase shift keying to each pair of sequentially neighboring waveform symbols so as to produce a waveform modulated by a combination of differential M-ary PSK and M-ary orthogonal function modulation; and (ii) means for applying Reed-Solomon error correction coding to each waveform symbol, and means for applying binary error correction coding to the differential multiphase shift keying.
2. The apparatus of claim 1, wherein said means for representing the data represents said data in at least one coding block and said Reed-Solomon coding includes means for correcting only a single error in a coding block and binary coding comprising separate parity bits applied to even and odd groups of a differential bi-phase shift keying data.
3. An apparatus for communicating data between at least two data devices, the apparatus comprising:

(a) means for acquiring data from a data device;
(b) means for representing the data as a sequence of digital waveform symbols, the digital waveform symbols being selected from a set that includes more than two unique digital waveform symbols, each digital waveform symbol being characterized by a symbol duration, wherein each of the unique digital waveform symbols is orthogonal with respect to each other unique digital waveform symbol in the set, and further wherein the means for representing the data as a sequence of digital waveform symbols includes:
(I) means for grouping the data into a sequence of groups of N bits each, each group representing a symbol selected from 2N possible data symbols; and (ii) data modulation means for representing each data symbol as a digital waveform symbol so as to form the sequence of digital waveform symbols;

(c) means for generating a direct-sequence spread spectrum encoding signal;

(d) multiplying means for combining the direct-sequence spread spectrum encoding signal with the sequence of digital waveform symbols to provide a transmit signal;

(e) modulator means for modulating a carrier signal in accordance with the transmit signal to provide a modulated signal; and (f) means for transmitting the modulated signal;
further including (I) means for applying multiphase phase shift keying to each waveform symbol so as to produce a waveform modulated by a combination of M-ary PSK and M-ary orthogonal function modulation; (ii) means for applying Reed-Solomon error correction coding to each waveform symbol, and (iii) means for applying binary error correction coding to the multiphase phase shift keying.
4. An apparatus for communicating data between at least two data devices, the apparatus comprising:

(a) means for acquiring data from a data device;

(b) means for representing the data as a sequence of digital waveform symbols, the digital waveform symbols being selected from a set that includes more than two unique digital waveform symbols, each digital waveform symbol being characterized by a symbol duration, wherein each of the unique digital waveform symbols is orthogonal with respect to each other unique digital waveform symbol in the set, and further wherein the means for representing the data as a sequence of digital waveform symbols includes:

(I) means for grouping the data into a sequence of groups of N bits each, each group representing a symbol selected from 2N possible data symbols; and (ii) data modulation means for representing each data symbol as a digital waveform symbol so as to form the sequence of digital waveform symbols;

(c) means for generating a direct-sequence spread spectrum encoding signal;

(d) multiplying means for combining the direct-sequence spread spectrum encoding signal with the sequence of digital waveform symbols to provide a transmit signal;

(e) modulator means for modulating a carrier signal in accordance with the transmit signal to provide a modulated signal; and (f) means for transmitting the modulated signal;
wherein the set of digital waveform symbols includes a set of Walsh-function waveforms, and said apparatus further includes means for applying Reed-Solomon error correction coding to each Walsh-function waveform.
5. The apparatus of claim 4, wherein said means for representing the data represents said data in at least one coding block, and said Reed-Solomon coding includes means for correcting only a single error in a coding block.
6. The apparatus of claim 5, further including means for using a coding block that is short enough such that the single error correcting will correct a sufficient number of errors in a data packet so that the packet failure rate will meet system specifications.
7. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:

means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;

most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;

means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;

wherein the set of possible digital waveform symbols includes a set of Walsh-function waveforms; and wherein the despreading/correlation means includes:

means for direct-sequence despreading of a DSSS encoded signal so as to provide a despread signal;

means for bandpass filtering the despread signal so as to provide a filtered signal having a bandwidth substantially similar to the bandwidth of the set of Walsh-function waveforms;

means for splitting the filtered signal into an in-phase signal and a quadrature signal;

means for converting the in-phase signal and the quadrature signal respectively into a digital in-phase signal and a digital quadrature signal;

Walsh-function demodulator means for correlating the digital signals with the Walsh-function waveforms so as to provide correlated in-phase signals and correlated quadrature signals; and means for demodulating the correlated in-phase signals and the correlated quadrature signals so as to provide a plurality of envelope signals, wherein the most-likely symbol means includes:

means for comparing each signal of the plurality of envelope signals so as to determine the largest magnitude envelope signal indicating a Walsh-function waveform most likely to have been transmitted, and for providing a largest magnitude index signal indicative of the largest magnitude envelope signal, and wherein the means for converting includes:

data decoder means for decoding the largest magnitude envelope signal so as to provide a binary data stream.
8. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:

means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;

despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;

most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;

means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;
wherein said data stream includes at least one data block, and said apparatus further includes means for using a Reed-Solomon error correction for correcting only a single error in a coding block.
9. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:

means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;

most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;

means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;

wherein the despreading/correlation means further includes means for providing a largest complex amplitude signal, the most-likely symbol means further includes means for providing a largest magnitude index signal, and the apparatus further comprises:
means, responsive to the largest complex amplitude signal and to the largest magnitude index signal, for binary DPSK demodulating the sequence of received symbols.
10. The apparatus of claim 9, wherein the apparatus further includes:
means for Reed-Solomon error correction decoding and means for binary error decoding.
11. The apparatus of claim 10, wherein said data stream includes at least one data block, and said apparatus further includes means for using a Reed-Solomon error correction for correcting only a single error in a coding block and erasure decoding of the binary stream.
12. The apparatus of claim 11, wherein the erasure decoding includes means for using separate parity bits applied to the even and the odd groups of a differential bi-phase shift keying data for the correction.
13. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:

means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;

most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;

means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;
wherein the despreading/correlation means also provides a largest complex amplitude signal, the most-likely symbol means further includes means for providing a largest magnitude index signal, and the apparatus further comprises:

means, responsive to the largest complex amplitude signal and to the largest magnitude index signal, for M-ary DPSK demodulation of the sequence of received symbols.
14. The apparatus of claim 13, wherein the apparatus further includes:
means for error correction decoding.
15. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:

means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;

despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;

most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;

means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;

wherein the set of possible digital waveform symbols includes a set of Walsh-function waveforms, and the despreading/correlation means includes:

means for bandpass filtering the incoming signal so as to provide a filtered signal having a bandwidth substantially similar to the bandwidth of the set of Walsh-function waveforms with DSSS encoding;

means for splitting the filtered signal into an in-phase signal and a quadrature signal;

means for converting the in-phase signal and the quadrature signal respectively into an in-phase digital signal and a quadrature digital signal;

means for direct-sequence despreading each digital signal and correlating each digital signal with the Walsh-function waveforms so as to provide despread correlated in-phase signals and despread correlated quadrature signals; and means for demodulating the despread correlated in-phase signals and the despread correlated quadrature signals so as to provide a plurality of envelope signals, wherein the most-likely symbol means includes:

means for comparing each signal of the plurality of envelope signals so as to determine the largest magnitude envelope signal indicating a Walsh-function waveform most likely to have been transmitted, and for providing a largest magnitude index signal indicative of the largest magnitude envelope signal, and wherein the means for converting includes:

data decoder means for decoding the largest magnitude envelope signal so as to provide a binary data stream.
16. The apparatus of claim 15, wherein the despreading/correlation means further includes means for providing a largest complex amplitude signal, the most-likely symbol means further includes means for providing a largest magnitude index signal, and the apparatus further comprises:

means, responsive to the largest complex amplitude signal and to the largest magnitude index signal, for binary DPSK demodulating the sequence of received symbols.
17. The apparatus of claim 16, wherein the apparatus further includes:
means for Reed-Solomon error correction decoding and means for binary error decoding.
18. The apparatus of claim 17, wherein said data stream includes at least one data block, and said apparatus further includes means for using a Reed-Solomon error correction for correcting only a single error in a coding block and erasure decoding of the binary stream.
19. The apparatus of claim 18, wherein the erasure decoding includes means for using separate parity bits applied to the even and the odd groups of a differential bi-phase shift keying data for the correction.
20. The apparatus of claim 15, wherein the despreading/correlation means also provides a largest complex amplitude signal, the most-likely symbol means further includes means for providing a largest magnitude index signal, and the apparatus further comprises:

means, responsive to the largest complex amplitude signal and to the largest magnitude index signal, for M-ary DPSK demodulation of the sequence of received symbols.
21. The apparatus of claim 20, wherein the apparatus further includes:
means for error correction decoding.
22. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:
means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;
most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;
means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;
wherein the set of possible digital waveform symbols includes a set of Walsh-function waveforms, and wherein the despreading/correlation means includes:
a Walsh-function correlator, for receiving an input sample sequence, the correlator including a plurality of basic cells, each basic cell having an input and two outputs, the cells being interconnected to form a binary tree structure such that each possible path through the tree structure represents a unique function upon the input sequence, thereby providing a plurality of output sample sequences.
23. The apparatus of claim 22, wherein each basic cell accepts the input sample sequence serially at a first rate f in, and generates first and second output sample sequences in parallel at a second rate f in/2, such that the first output sample sequence includes the sum of a current serial pair of input samples of the input sample sequence, and the second output sample sequence includes the difference of the current serial pair of input samples of the input sample sequence, wherein each output sample sequence can be provided as an input sample sequence to another basic cell.
24. The apparatus of claim 22, wherein the tree structure is partitioned into a plurality of circuit segments for fabrication as a plurality of individual integrated circuit chips, wherein each circuit segment includes an in-phase channel and a quadrature channel of at least a subset of the set of Walsh-function correlators disposed on the same integrated circuit chip, and wherein each integrated circuit chip includes means for receiving output signals from a plurality of chips so as to perform a full set of Walsh-function correlations, thereby demodulating the received modulated signal.
25. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:
means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;
most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;
means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;
wherein the set of possible digital waveform symbols includes a set of Walsh-function waveforms, and the despreading/correlation means includes:
means for pseudonoise despreading of a DSSS encoded signal so as to provide a despread signal;
means for bandpass filtering the despread signal so as to provide a filtered signal having a bandwidth substantially similar to the bandwidth of the set of Walsh-function waveforms;
means for heterodyning to baseband the filtered signal with a coherent phase reference signal so as to provide an in-phase signal;

means for converting the in-phase signal into a digital in-phase signal;
Walsh-function demodulator means for correlating the digital signal with a set of Walsh-function waveforms so as to provide a plurality of correlated in-phase signals;
and means for demodulating the correlated in-phase signals so as to provide a plurality of in-phase envelope signals, wherein the most-likely symbol means includes:
means for comparing each signal of the plurality of in-phase envelope signals so as to determine the largest magnitude in-phase envelope signal indicating a Walsh-function waveform most likely to have been transmitted, and for providing a largest magnitude index signal indicative of the largest magnitude envelope signal, and wherein the means for converting includes:
data decoder means for decoding the largest magnitude envelope signal so as to provide a binary data stream.
26. The apparatus of claim 25, the apparatus further comprising:
means, responsive to the largest magnitude envelope signal and to the largest magnitude index signal, for M-ary PSK demodulating the sequence of received symbols.
27. The apparatus of claim 26, further including means, responsive to the most-likely symbol means, for performing error correction decoding on the most-likely symbol if the most-likely symbol has been error-correction-encoded.
28. The apparatus of claim 25, the apparatus further comprising:
means, responsive to the largest magnitude envelope signal and to the largest magnitude index signal, for binary PSK demodulating the sequence of received symbols.
29. The apparatus of claim 28, wherein the means for converting the most-likely transmitted digital waveform symbol into a digital data sequence includes means for Reed-Solomon error correction decoding and means for binary error decoding.
30. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:
means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;
most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;
means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;
wherein the set of possible digital waveform symbols includes a set of Walsh-function waveforms, and the despreading/correlation means includes:
means for bandpass filtering the incoming signal so as to provide a filtered signal having a bandwidth substantially similar to the bandwidth of the set of Walsh-function waveforms with DSSS encoding;
means for heterodyning to baseband the filtered signal with a coherent phase reference signal so as to provide an in-phase signal;
means for converting the in-phase signal into an in-phase digital signal;
means for direct-sequence despreading the digital signal and correlating the digital signal with a Walsh-function waveform so as to provide a despread Walsh in-phase signal; and means for envelope demodulating the despread Walsh in-phase signal so as to provide a plurality of envelope signals, wherein the most-likely symbol means includes:
means for comparing each signal of the plurality of envelope signals so as to determine the largest magnitude envelope signal indicating a Walsh-function waveform most likely to have been transmitted, and for providing a largest magnitude index signal indicative of the largest magnitude envelope signal, and wherein the means for converting includes:

data decoder means for decoding the largest magnitude envelope signal so as to provide a binary data stream.
31. The apparatus of claim 30, the apparatus further comprising:
means, responsive to the largest magnitude envelope signal and to the largest magnitude index signal, for binary PSK demodulating the sequence of received symbols.
32. The apparatus of claim 31, wherein the means for converting the most-likely transmitted digital waveform symbol into a digital data sequence includes means for Reed-Solomon error correction decoding and means for binary error decoding.
33. The apparatus of claim 30, the apparatus further comprising:
means, responsive to the largest magnitude envelope signal and to the largest magnitude index signal, for M-ary PSK demodulating the sequence of received symbols.
34. The apparatus of claim 33, further including means, responsive to the most-likely symbol means, for performing error correction decoding on the most-likely symbol if the most-likely symbol has been error-correction-encoded.
35. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:
means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;
most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;
means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;
further including a sliding serial-correlator-based synchronizer, having a signal detector, and being responsive to one of the plurality of despread correlation signals, for detecting the presence of the input signal; a time-tracking loop, responsive to the most-likely symbol means, for extracting changes in timing information from at least one signal selected by the most-likely symbol means.
36. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:
means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;
most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;
means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;
wherein the most-likely symbol means includes an M-way comparator having a plurality of two-way comparators interconnected as an inverted binary tree structure, each two-way comparator being adapted to provide an output amplitude that is the larger of two input amplitudes, and for providing an index of the larger of the two input amplitudes, the M-way comparator being adapted to provide an index indicating the largest of M input amplitudes, and to provide the largest amplitude of the M
input amplitudes.
37. The apparatus of claim 36, wherein the inverted binary tree structure is partitioned into a plurality of circuit segments for fabrication as a plurality of individual integrated circuit chips, wherein each circuit segment includes an in-phase channel and a quadrature channel of at least a subset of the set of Walsh-function correlators disposed on the same integrated circuit chip, and wherein each integrated circuit chip includes means for receiving output signals from a plurality of chips so as to perform a full set of Walsh-function correlations, thereby demodulating the received modulated signal.
38. A method of receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible digital waveform symbols, wherein each digital waveform symbol in the set of possible digital waveform symbols is orthogonal with respect to each other digital waveform symbol in the set, and wherein the data are grouped into a sequence of groups of N bits each, each group representing a symbol from 2N
possible data symbols, and each data symbol is represented as a digital waveform symbol so as to form the sequence of digital waveform symbols, the method comprising the steps of:
receiving the modulated signal to provide an incoming signal;
providing a timing signal;

removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal;
correlating the incoming signal with each possible orthogonal digital waveform symbol of a set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;
receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;
converting the most-likely transmitted digital waveform symbol into a digital data sequence so as to provide a digital data stream; and providing the digital data stream to a data device;
wherein the set of possible digital waveform symbols includes a set of Walsh-function waveforms; and the step of removing includes the steps of:
direct-sequence despreading of a DSSS encoded signal so as to provide a despread signal; bandpass filtering the despread signal so as to provide a filtered signal having a bandwidth substantially similar to the bandwidth of the set of Walsh-function waveforms;
splitting the filtered signal into an in-phase signal and a quadrature signal;
and converting the in-phase signal and the quadrature signal respectively into a digital in-phase signal and a digital quadrature signal, wherein the step of correlating includes the steps of:
correlating each digital signal with a Walsh-function waveform so as to provide a in-phase signal and a quadrature signal; and envelope demodulating the in-phase signal and the quadrature signal so as to provide a plurality of envelope signals, wherein the step of receiving the plurality of despread correlation signals and determining therefrom a most-likely transmitted digital waveform symbol includes the steps of:
comparing each signal of the plurality of envelope signals so as to determine the largest magnitude envelope signal indicating a Walsh-function waveform most likely to have been transmitted; and providing a largest magnitude index signal indicative of the largest magnitude envelope signal, and wherein the step of converting includes the step of:
decoding the largest magnitude envelope signal so as to provide a binary data stream.
39. The method of claim 38, further comprising the step of:
M-ary DPSK demodulating the sequence of received symbols.
40. A method of receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible digital waveform symbols, wherein each digital waveform symbol in the set of possible digital waveform symbols is orthogonal with respect to each other digital waveform symbol in the set, and wherein the data are grouped into a sequence of groups of N bits each, each group representing a symbol from 2N
possible data symbols, and each data symbol is represented as a digital waveform symbol so as to form the sequence of digital waveform symbols, the method comprising the steps of:
receiving the modulated signal to provide an incoming signal;
providing a timing signal;
removing the pseudonoise direct-sequence spread spectrum encoding from the incoming signal;
correlating the incoming signal with each possible orthogonal digital waveform symbol of a set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;
receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;
converting the most-likely transmitted digital waveform symbol into a digital data sequence so as to provide a digital data stream; and providing the digital data stream to a data device;
wherein the set of possible digital waveform symbols includes Walsh-function waveforms; and the step of removing includes the steps of:
bandpass filtering the incoming so as to provide a filtered signal having a bandwidth substantially similar to the bandwidth of the set of Walsh-function waveforms with DSSS encoding;
splitting the filtered signal into an in-phase signal and a quadrature signal;
converting the in-phase signal and the quadrature signal respectively into a digital in-phase signal and a digital quadrature signal; and direct-sequence despreading each digital signal so as to provide a despread in-phase digital signal and a despread quadrature digital signal;
wherein the step of correlating includes the steps of:
correlating each digital signal with a Walsh-function waveform so as to provide a in-phase signal and a quadrature signal; and envelope demodulating the in-phase signal and the quadrature signal so as to provide a plurality of envelope signals, wherein the step of receiving the plurality of despread correlation signals and determining therefrom a most-likely transmitted digital waveform symbol includes the steps of:
comparing each signal of the plurality of envelope signals so as to determine the largest magnitude envelope signal indicating a Walsh-function waveform most likely to have been transmitted; and providing a largest magnitude index signal indicative of the largest magnitude envelope signal, and wherein the step of converting includes the step of:
decoding the largest magnitude envelope signal so as to provide a binary data stream.
41. The method of claim 40, further comprising the step of:
M-ary DPSK demodulating the sequence of received symbols.
42. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually-orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:
means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
despreading/correlation means, responsive to the timing signal and to the incoming signal, for both removing the direct-sequence spread spectrum encoding from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;
most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;
means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;
wherein the set of possible digital waveform symbols includes a set of Walsh-function waveforms, and the despreading/correlation means includes:
means for bandpass filtering the incoming signal so as to provide a filtered signal having a bandwidth substantially similar to the bandwidth of the set of Walsh-function waveforms;
means for heterodyning to baseband the filtered signal with a coherent phase reference signal so as to provide an in-phase signal;
means for converting the in-phase signal into a digital in-phase signal;
means for despreading one of said incoming, filtered, in-phase and digital in-phase signals resulting in a despread digital in-phase signal following conversion of the in-phase signal into a digital in-phase signal;
Walsh-function demodulator means for correlating the despread digital in-phase signal with a set of Walsh-function waveforms so as to provide correlated in-phase signals; and means for demodulating the correlated in-phase signals so as to provide a plurality of in-phase envelope signals, wherein the most-likely symbol means includes:
means for comparing each signal of the plurality of in-phase envelope signals so as to determine the largest magnitude in-phase envelope signal indicating a Walsh-function waveform most likely to have been transmitted, and for providing a largest magnitude index signal indicative of the largest magnitude in-phase envelope signal, and wherein the means for converting includes:
data decoder means for decoding the largest magnitude in-phase envelope signal so as to provide a binary data stream.
43. Apparatus according to claim 42, further including means for determining the polarity of the largest magnitude envelope signal.
44. Apparatus according to claim 42, wherein the despreading/correlation means further includes:
means for heterodyning to baseband the filtered signal with a coherent phase reference signal so as to provide a quadrature-phase signal;
means for converting the quadrature-phase signal into a digital quadrature-phase signal;
means for despreading one of said incoming, filtered, quadrature-phase and digital quadrature-phase signals resulting in a despread digital quadrature-phase signal following conversion of the quadrature-phase signal into a digital quadrature-phase signal;
Walsh-function demodulator means for correlating the despread digital quadrature-phase signal with a set of Walsh-function waveforms so as to provide correlated quadrature-phase signals; and means for demodulating the correlated quadrature-phase signals so as to provide a plurality of quadrature-phase envelope signals; and wherein the most-likely symbol means further includes:
means for comparing each signal of the plurality of quadrature-phase envelope signals so as to determine the largest magnitude quadrature-phase envelope signal indicating a Walsh-function waveform most likely to have been transmitted, and for providing a largest magnitude index signal indicative of the largest magnitude quadrature-phase envelope signal and wherein the means for converting further includes:

data decoder means for decoding the largest magnitude quadrature-phase envelope signal so as to provide a binary data stream.
45. Apparatus according to claim 44, further including means for determining the polarity of the largest magnitude in-phase envelope signal and for determining the largest magnitude quadrature-phase envelope signal.
46. The apparatus of claim 42, the apparatus further comprising:
means, responsive to the largest magnitude in-phase envelope signal and to the largest magnitude index signal, for M-ary PSK demodulating the sequence of received symbols.
47. The apparatus of claim 46, further including means, responsive to the most-likely symbol means, for performing error correction decoding on the most-likely symbol if the most-likely symbol has been error-correction-encoded.
48. The apparatus of claim 42, the apparatus further comprising:
means, responsive to the largest magnitude in-phase envelope signal and to the largest magnitude index signal, for binary PSK demodulating the sequence of received symbols.
49. The apparatus of claim 48, wherein the means for converting the most-likely transmitted digital waveform symbol into a digital data sequence includes means for Reed-Solomon error correction decoding and means for binary error decoding.
50. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually-orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:
means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
correlation means, responsive to the timing signal and to the incoming signal, for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of correlation signals;
most-likely symbol means for receiving the plurality of correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;
means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;
wherein the set of possible digital waveform symbols includes a set of Walsh-function waveforms encoded with direct-sequence spread spectrum encoding, and the correlation means includes:
means for bandpass filtering the incoming signal so as to provide a filtered signal having a bandwidth substantially similar to the bandwidth of the set of Walsh-function waveforms;
means for heterodyning to baseband the filtered signal with a coherent phase reference signal so as to provide an in-phase signal;
means for converting the in-phase signal into a digital in-phase signal;
Walsh-function demodulator means for correlating the digital in-phase signal with a set of Walsh-function waveforms encoded with direct-sequence spread spectrum encoding so as to provide correlated in-phase signals; and means for demodulating the correlated in-phase signals so as to provide a plurality of in-phase envelope signals, wherein the most-likely symbol means includes:
means for comparing each signal of the plurality of in-phase envelope signals so as to determine the largest magnitude in-phase envelope signal indicating a Walsh-function waveform most likely to have been transmitted, and for providing a largest magnitude index signal indicative of the largest magnitude in-phase envelope signal, and wherein the means for converting includes:
data decoder means for decoding the largest magnitude in-phase envelope signal so as to provide a binary data stream.
51. Apparatus according to claim 49, further including means for determining the polarity of the largest magnitude envelope signal.
52. Apparatus according to claim 49, wherein the correlation means further includes:
means for heterodyning to baseband the filtered signal with a coherent phase reference signal so as to provide a quadrature-phase signal;
means for converting the quadrature-phase signal into a digital quadrature-phase signal;
Walsh-function demodulator means for correlating the digital quadrature-phase signal with a set of Walsh-function waveforms encoded with direct-sequence spread spectrum encoding so as to provide correlated quadrature-phase signals; and means for demodulating the correlated quadrature-phase signals so as to provide a plurality of quadrature-phase envelope signals; and wherein the most-likely symbol means further includes:
means for comparing each signal of the plurality of quadrature-phase envelope signals so as to determine the largest magnitude quadrature-phase envelope signal indicating a Walsh-function waveform most likely to have been transmitted, and for providing a largest magnitude index signal indicative of the largest magnitude quadrature-phase envelope signal and wherein the means for converting further includes:
data decoder means for decoding the largest magnitude quadrature-phase envelope signal so as to provide a binary data stream.
53. Apparatus according to claim 51, further including means for determining the polarity of the largest magnitude in-phase envelope signal and for determining the largest magnitude quadrature-phase envelope signal.
54. The apparatus of claim 49, the apparatus further comprising:
means, responsive to the largest magnitude in-phase envelope signal and to the largest magnitude index signal, for M-ary PSK demodulating the sequence of received symbols.
55. The apparatus of claim 53, further including means, responsive to the most-likely symbol means, for performing error correction decoding on the most-likely symbol if the most-likely symbol has been error-correction-encoded.
56. The apparatus of claim 49, the apparatus further comprising:
means, responsive to the largest magnitude in-phase envelope signal and to the largest magnitude index signal, for binary PSK demodulating the sequence of received symbols.
57. The apparatus of claim 55, wherein the means for converting the most-likely transmitted digital waveform symbol into a digital data sequence includes means for Reed-Solomon error correction decoding and means for binary error decoding.
58. A method of creating a digital signal representative of data, comprising:
(A) generating the data as a sequence of digital waveform symbols, wherein each digital waveform symbol (i) is selected from a set of 2N possible digital waveform symbols and (ii) represents N data bits, with each possible digital waveform symbol being unique from the others, and the symbol uniqueness being determined by a unique baud structure, and the band rate defining a symbol modulation rate;
(B) generating a direct-sequence spread spectrum encoding signal at a chip rate; and (C) combining the direct-sequence spread spectrum encoding signal with the sequence of digital waveform symbols so as to provide said digital signal;
wherein the chip rate is equal to the symbol modulation rate.
59. The digital signal according to claim 58, wherein the each digital waveform symbol is orthogonal with respect to the other digital waveform symbols of the set.
60. The digital signal according to claim 58, wherein the set of digital waveform symbols includes a set of Walsh functions.
61. The digital signal according to claim 58, wherein the direct-sequence spread spectrum encoding signal is combined with the sequence of digital waveform symbols by multiplying the digital waveform symbols with the direct-sequence spread spectrum encoding signal.
62. A signal transmitter for transmitting a transmitted signal derived from a digital signal created in accordance with the method of claim 58.
63. A signal receiver for receiving a transmitted signal derived from a digital signal created in accordance with the method of claim 58.
64. A signal transmitter system for transmitting data to a remote signal receiver, comprising:
(A) a digital signal generator for generating a digital signal representative of the data, including:
(i) a first signal generator constructed and arranged so as to generate the data as a sequence of digital waveform symbols, wherein each digital waveform symbol (i) is selected from a set of 2N possible digital waveform symbols and (ii) represents N data bits, with each possible digital waveform symbol being unique from the others, and the symbol uniqueness being determined by a unique baud structure, and the baud rate defining a symbol modulation rate;
(ii) a second signal generator constructed and arranged so as generate a direct-sequence spread spectrum encoding signal at a chip rate; and (iii) a signal combiner constructed and arranged so as to combine the direct-sequence spread spectrum encoding signal with the sequence of digital waveform symbols to provide said digital signal;
(B) a modulator constructed and arranged so as to modulate a carrier signal in accordance with the digital signal to provide a modulated signal; and (C) a transmitter constructed and arranged so as to transmit a transmitted signal as a function of the modulated signal;
wherein the chip rate is equal to the symbol modulation rate.
65. The system according to claim 64, wherein the each digital waveform symbol is orthogonal with respect to the other digital waveform symbols of the set.
66. The system according to claim 64, wherein the set of possible digital waveform symbols includes Walsh-function waveforms.
67. The system according to claim 64, wherein the direct-sequence spread spectrum encoding signal is combined with the sequence of digital waveform symbols by multiplying the digital waveform symbols with the direct-sequence spread spectrum encoding signal.
68. The system according to claim 64, wherein the direct-sequence spread spectrum encoding signal is a pseudonoise direct-sequence spread spectrum encoding signal.
69. The system according to claim 68, wherein the pseudonoise direct-sequence spread spectrum encoding signal is periodic, and the psuedonoise direct-sequence spread spectrum encoding signal has a code period that is longer than the symbol duration of each digital waveform symbol.
70. The system according to claim 64, wherein the digital waveform symbols are orthogonal to one another, and the modulator modulates the carrier in accordance with the digital signal so as to provide M-ary orthogonal function modulation, wherein M=2N.
71. The system according to claim 70, further including a signal applicator constructed and arranged so as to apply differential multiphase phase shift keying to each pair of sequentially neighboring digital waveform symbols so as to produce a waveform modulated by a combination of differential M-ary PSK and M-ary orthogonal function modulation.
72. The system according to claim 71, wherein the second modulator applies differential bi-phase shift keying.
73. The system according to claim 64, wherein the signal combiner includes a signal multiplier constructed and arranged so as to synchronously multiply the sequence of digital waveform symbols and the pseudo-noise direct-sequence spread spectrum encoding signal so as to ensure that the modulated signal transmitted by the transmitter is characterized by a bandwidth no greater than the bandwidth of the pseudonoise direct-sequence spread spectrum encoding signal.
74. A signal receiver system for receiving from a remote signal transmitter a transmitted signal representing data, wherein the transmitted signal includes (a) a sequence of digital waveform symbols, wherein each digital waveform symbol (i) is selected from a set of 2N
possible digital waveform symbols and (ii) represents N data bits, with each possible digital waveform symbol being unique from the others, and the symbol uniqueness being determined by a unique baud structure, and the baud rate defining a symbol modulation rate, combined with (b) a direct-sequence spread spectrum (DSSS) encoding signal generated at a chip rate; wherein the symbol modulation rate is equal to the chip rate, the signal receiver system comprising:
a receiver constructed and arranged so as to receive the transmitted signal to provide an incoming signal;
a signal generator configured and arranged so as to provide a timing signal at a rate as a function of the rate defined by the chip rate and symbol modulation rate;
a despreader/correlator, responsive to the timing signal and to the incoming signal, constructed and arranged so as to both remove the DSSS encoded signal from the incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of the set of possible digital waveform symbols and so as to provide a plurality of despread correlation signals;
a symbol recognizes subsystem constructed and arranged so as to receive the plurality of despread correlation signals, and determine therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols; and a signal converter subsystem constructed and arranged so as to convert each most-likely transmitted digital waveform symbol into a corresponding digital data bit sequence so as to provide a digital data stream representing the data in the transmitted signal.
75. The signal receiver system according to claim 74, wherein the DSSS
encoding signal is encoded with pseudonoise direct-sequence encoding, and the despreader/correlator is constructed and arranged so as to remove the pseudonoise direct-sequence encoding from the incoming signal.
76. The signal receiving system according to claim 74, wherein the signal generator is constructed and arranged so as to time the incoming signal so as to synchronize the timing signal with the incoming signal.
77. The signal receiving system according to claim 76, wherein the signal generator includes a matched filter synchronizer.
78. The signal receiving system according to claim 76, wherein the signal generator includes a serial-correlator-based synchronizer constructed and arranged so as to receive timing information as an input.
79. The signal receiving system according to claim 74, wherein the each digital waveform symbol is orthogonal with respect to the other digital waveform symbols of the set.
80. The system receiving system according to claim 74, wherein the set of possible digital waveform symbols includes Walsh-function waveforms.
81. The signal receiving system according to claim 74, wherein the DSSS
encoding signal is combined with the sequence of digital waveform symbols by multiplying the digital waveform symbols with the DSSS encoding signal.
82. The signal receiving system according to claim 74, wherein the despreader/correlator includes:
a direct-sequence despreader constructed and arranged so as to despread the DSSS
encoded signal so as to provide a despread signal;
a bandpass filter constructed and arranged so as to filter the despread signal so as to provide a filtered signal having a bandwidth substantially similar to the bandwidth of the set of digital waveform symbols;
a signal splitter constructed and arranged so as to split the filtered signal into an in-phase signal and a quadrature signal;
a signal converter subsystem constructed and arranged so as to convert the in-phase signal and the quadrature signal respectively into a digital in-phase signal and a digital quadrature signal;
a correlator constructed and arranged so as to correlate the digital signals with the digital waveform symbols and provide correlated in-phase signals and correlated quadrature signals; and a demodulator constructed and arranged so as to demodulate the correlated in-phase signal and the correlated quadrature signal so as to provide a plurality of envelope signals.
83. The signal receiving system according to claim 74, wherein the symbol recognizer subsystem includes:
a signal comparator constructed and arranged so as to compare each signal of the plurality of envelope signals so as to determine the largest magnitude envelope signal indicating a digital waveform symbol most likely to have been transmitted, and for providing a largest magnitude index signal indicative of the largest magnitude envelope signal,
84. The signal receiving system according to claim 74, wherein the signal converter subsystem includes data decoder means for decoding the largest magnitude envelope signal so as to provide a binary data stream.
85. The signal receiving system according to claim 74, wherein the transmitted signal is encoded with pseudonoise direct-sequence encoding, and the despreader/correlator includes a subsystem constructed and arranged so as to remove the pseudonoise direct-sequence encoding from the incoming signal.
86. The signal receiving system according to claim 74, wherein the signal generator includes a synchronizing subsystem constructed and arranged so as to synchronize the incoming signal with the incoming signal.
87. The signal receiving subsystem according to claim 86, wherein the synchronizing subsystem includes a matched filter synchronizer.
88. The signal receiving subsystem according to claim 86, wherein the synchronizing subsystem includes a serial-correlator-based synchronizer having an input for receiving synchronizing information as an input.
89. The signal receiving system according to claim 74, wherein the transmitted signal includes binary DPSK encoding, and the despreader/correlator includes a DPSK
demodulator for binary DPSK demodulating the sequence of received symbols.
90. The signal receiving system according to claim 74, wherein the transmitted signal includes error correction coding, and the signal receiving system further includes:
an error correction decoder subsystem.
91. The signal receiving system according to claim 90, wherein the error correction decoder subsystem is a Reed-Solomon error correction decoder.
92. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orhthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:
means for receiving the modulated signal to provide an incoming signal;
means for providing a timing signal;
despreading/correlation means, responsive to the timing signal and to the incomming signal, for both removing the direct-sequence spread spectrum encoding from the incoming signal, and for correlating the direct-sequence each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;
most-likely symbol means for receiving the plurality of despread correlation signals, and determining therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols;
means for converting the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and means for providing the digital data stream to a data device;
wherein the despreading/correlation means also provides a largest complex amplitude signal, the most-likely symbol means further includes means for providing a largest magnitude index signal, and the apparatus further comprises:
means, responsive to the largest complex amplitude signal for M-ary DPSK
demodulation of the sequence of received symbols.
93. The apparatus of claim 92, wherein the apparatus further includes:

means for error correction decoding.
94. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with direct-sequence spread spectrum encoding, and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:
a signal receiver constructed and arranged so as to receive the modulated signal to provide an incoming signal;
a timing signal generator constructed and arranged so as to provide a timing signal;
a despreader/correlator, responsive to the tinting signal and to the incoming signal, for both removing the direct-sequence: spread spectrum encoding from the: incoming signal, and for correlating the incoming signal with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals:
a most-likely symbol determination subsystem constructed and arranged so as to receive the plurality of despread correlation signals, and determine therefrom a most-likely transmitted digital waveform symbol so as to provide a sequence of received symbols; and a signal converter constructed and arranged so as to convert the most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream;
wherein the despreader/correlator also provides a largest complex amplitude signal, the most-likely symbol determination subsystem further includes means for providing a largest magnitude index signal, and the apparatus further comprises:
a demodulator, responsive to the largest complex amplitude signal, for M-ary DPSK
demodulation of the sequence of received symbols.
95. The apparatus of claim 94, wherein the apparatus further includes:
an error decoder constructed and arranged so as to error correction decode.
96. An apparatus for transmitting a modulated signal between two data devices, the apparatus comprising:

a signal generator constructed and arranged so as to generate the modulated signal such that the modulated signal includes (a) an in-phase component and a quadrature component;
(b) a direct-sequence spread spectrum encoding for each component so that the direct-sequence encoding can be removed from each component using a corresponding using a complementary despreading technique; and (c) digital waveform symbols within each component, selected form a set of possible mutually orthogonal digital waveform symbols so that the data can be grouped into and conveyed as a sequence of groups of N bits each in each component:
wherein the modulated signal is formed so that upon reception the components can be separated, despread and correlated with each possible digital waveform symbol of the set of possible digital waveform symbols; and the moat likely symbol for each symbol of a sequence of received symbols can be determined by generating a largest complex amplitude signal, associated with the most likely symbol for each of the received symbols, and a largest magnitude index signal;
and the sequence of received symbols call he generated, in response to the largest complex amplitude signal by M-ary DPSK demodulating the sequence of received symbols.
97. An apparatus according to claim 96, wherein each component is formed so that it can he correlated using a Walsh-function demodulator that correlates the component with predetermined Walsh-function waveforms so as to provide correlated in-phase signals and correlated quadrature signals; and demodulated so as to provide a plurality of envelope signals, wherein the largest magnitude envelope signal indicates the Walsh-function waveform most likely to have been transmitted.
98. Apparatus for receiving data contained within an incoming signal communicated as a modulated signal between at least two data devices, the modulated signal being of the type including in-phase and quadrature components, each component encoded with direct-sequence spread spectrum encoding and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N
bits each, the apparatus comprising:
a filter, despreader/correlation subsystem, constructed and arranged so as to separate the two components, remove the direct-sequence spread spectrum encoding from each component, and correlating the incoming signal with each possible digital waveform symbol of the set of possible digital waveform symbols so as to provide a plurality of despread correlation signals associated with each of the components;
a most likely symbol determination subsystem constructed and arranged so as to determine, for each symbol of a sequence of received symbols of each component, a largest complex amplitude signal, associated with the most likely symbol for each of the received symbols, and a largest magnitude index signal; and a symbol generator constructed and arranged so as to generate the sequence of received symbols, in response to the largest complex amplitude signal and the largest magnitude index signal, by M-ary demodulating the sequence of received symbols.
99. An apparatus according to claim 98, wherein the filter, despreader/correlator includes a Walsh-function demodulator constructed and arranged so as to correlate each component with predetermined Walsh-function waveforms so as to provide correlated in-phase signals and correlated quadrature signals; and for each in-phase and quadrature signals (a) a plurality of envelope signals, wherein the largest magnitude envelope signal indicates the Walsh-function waveform most likely to have been transmitted, and (b) the largest magnitude index signal indicative of the largest magnitude envelope signal.
100. Apparatus for receiving data communicated as a modulated signal between at least two data devices, the modulated signal being of the type encoded with complex direct-sequence spread spectrum encoding and including digital waveform symbols selected from a set of possible mutually orthogonal digital waveform symbols so that said data can be grouped into and conveyed as a sequence of groups of N bits each, the apparatus comprising:
a receiver constructed and arranged so as to receive the modulated signal and to provide an incoming signal;
a despreader/correlator arrangement constructed and arranged so as to be responsive to a timing signal and to the incoming signal, such that (a) the complex direct-sequence spread spectrum encoding is removed from the incoming signal, and (b) waveform symbol information contained within the incoming signal is correlated with each possible digital waveform symbol of said set of possible digital waveform symbols so as to provide a plurality of despread correlation signals;
a most-likely symbol determination subsystem construed and arranged so as to receive the plurality of despread correlation signals, and to determine therefrom a sequence of most-likely transmitted digital waveform symbols so as to provide a sequence of received symbols;
a signal converter subsystem constructed and an arranged so as to convert each most-likely transmitted digital waveform symbol into a digital data bit sequence so as to provide a digital data stream; and a data stream generator constructed and arranged so as to provide the digital data stream to a data device;
wherein the most-likely symbol determination subsystem further includes an index signal, generator constructed and arranged so as to provide a largest magnitude index signal, associated with the most likely symbol for each of the received symbols, wherein the apparatus further includes:
a demodulator constructed and arranged so as to demodulate the sequence of received signals in response to each of the largest magnitude index signals.
101. An apparatus for transmitting a modulated signal between two data devices, the apparatus comprising:
a signal generator constructed and arranged so as to generate the modulated signal such that the modulated signal includes (a) a complex direct-sequence spread spectrum encoding so that the complex direct-sequence encoding can be removed using a corresponding complementary despreading technique; and (b) digital waveform symbols, selected from a set of possible mutually orthogonal digital waveform symbols so that the date can be grouped into and conveyed as a sequence of groups of N hits each;
wherein the modulated signal is formed so that upon reception the components can be separated, despread and correlated with each possible digital waveform symbol of the set of possible digital waveform symbols; and the most likely symbol for each symbol of a sequence of received symbols can be determined by generating a largest complex amplitude signal, associated with the most likely symbol for each of the received symbols, and a largest magnitude index signal; and the sequence of received symbols can be generated, in response to the largest complex amplitude signal by M-ary DPSK demodulating the sequence of received symbols.
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