US9270510B2 - Adaptive two-dimensional channel interpolation - Google Patents
Adaptive two-dimensional channel interpolation Download PDFInfo
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- US9270510B2 US9270510B2 US13/944,022 US201313944022A US9270510B2 US 9270510 B2 US9270510 B2 US 9270510B2 US 201313944022 A US201313944022 A US 201313944022A US 9270510 B2 US9270510 B2 US 9270510B2
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- H04L27/2611—
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/08—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/0202—Channel estimation
- H04L25/0224—Channel estimation using sounding signals
- H04L25/0226—Channel estimation using sounding signals sounding signals per se
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/0202—Channel estimation
- H04L25/0224—Channel estimation using sounding signals
- H04L25/0228—Channel estimation using sounding signals with direct estimation from sounding signals
- H04L25/023—Channel estimation using sounding signals with direct estimation from sounding signals with extension to other symbols
- H04L25/0232—Channel estimation using sounding signals with direct estimation from sounding signals with extension to other symbols by interpolation between sounding signals
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
- H04L27/2626—Arrangements specific to the transmitter only
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
- H04L27/2647—Arrangements specific to the receiver only
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L5/00—Arrangements affording multiple use of the transmission path
- H04L5/0001—Arrangements for dividing the transmission path
- H04L5/0003—Two-dimensional division
- H04L5/0005—Time-frequency
- H04L5/0007—Time-frequency the frequencies being orthogonal, e.g. OFDM(A), DMT
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L5/00—Arrangements affording multiple use of the transmission path
- H04L5/0001—Arrangements for dividing the transmission path
- H04L5/0014—Three-dimensional division
- H04L5/0023—Time-frequency-space
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L5/00—Arrangements affording multiple use of the transmission path
- H04L5/003—Arrangements for allocating sub-channels of the transmission path
- H04L5/0048—Allocation of pilot signals, i.e. of signals known to the receiver
Abstract
Description
h(i,j)=w 1(i,j)h 1 +w 2(i,j)h 2 +w 3(i,j)h 3 +w 4(i,j)h 4
channel. The following formula presents a particular example of adaptive two-dimensional (time direction and frequency direction) interpolator to calculate point h:
where w 1(i,j)+w 2(i,j)+w 3(i,j)+w 4(i,j)=1
h(i,j)=w 1(i,j)h 1 +w 2(i,j)h 2 +w 3(i,j)h 3 +w 4(i,j)h 4
where
h(i,j)=w 1(i,j)+w 2(i,j)h 2 +w 3(i,j)h 3 +w 4(i,j)+w 4(i,j)h 4
where
h(i,j)=c time w 1(i,j)h 1 +c time w 2(i,j)h 2 +c freq w 3(i,j)h 3 +c freq w 4(i,j)h 4
c time +c freq=1
w 1(i,j)+w 2(i,j)+w 3(i,j)w 4(i,j)=1
-
- i. at
step 210, calculate the channel changes in both time and frequency directions and determine in which direction the channel changes faster; - ii. at
step 220, perform one-dimensional interpolation in the direction with slower channel change to calculate h; and - iii. at step 230, using h, perform one-dimensional interpolation in the direction with faster channel change.
- i. at
-
- i. Euclidean distance. One problem with Euclidean distance, however, is that it is not sensitive to phase change;
- ii. Phase change. One problem with phase change, however, is computation complexity; and
- iii. Amplitude change. One problem with amplitude change, however, is that it is insensitive to phase change.
freq h 1 ,h 2 =|h 1 ∥h 2|cos(θ1,2)
time denotes channel change in the time direction.
freq denotes channel change in the frequency direction.
a=|hn|cos(θn), and b=|hn|sin(θn).
h 1 ·h 2 =0.1605
h 3 ·h 4 =0.2506
where h1·2 =denotes the inner product of h1 and h2.
{tilde over (h)} h1,h2=0.5(h 1 +h 2)=0.2186-0.6226i
{tilde over (h)} h3,h4=0.5(h 3 +h 4)=0.2608-0.4648i
-
- i. interpolate between the two pilots in the time direction first to calculate h, and
- ii. use h and/or one or both of the two pilots to interpolate in the frequency direction.
-
- i. interpolate between the two pilots in the frequency direction first to calculate h, and
- ii. use h and/or one or both of the two pilots to interpolate in the time direction.
where X(n,k) is the known pilot symbol, and Y(n,k) is the received pilot symbol.
Claims (14)
Priority Applications (10)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US13/944,022 US9270510B2 (en) | 2005-08-23 | 2013-07-17 | Adaptive two-dimensional channel interpolation |
US15/046,934 US9432232B2 (en) | 2005-08-23 | 2016-02-18 | Pilot symbol patterns for transmit antennas |
US15/226,101 US9705720B2 (en) | 2005-08-23 | 2016-08-02 | Pilot symbol patterns for transmission via a plurality of antennas |
US15/642,956 US9929889B2 (en) | 2005-08-23 | 2017-07-06 | Pilot symbol patterns for transmission via a plurality of antennas |
US15/891,750 US10075314B2 (en) | 2005-08-23 | 2018-02-08 | Pilot symbol patterns for transmission through a plurality of antennas |
US16/110,205 US10200226B2 (en) | 2005-08-23 | 2018-08-23 | Pilot symbol patterns for transmission through a plurality of antennas |
US16/255,702 US10348542B2 (en) | 2005-08-23 | 2019-01-23 | Pilot symbol patterns for transmission through a plurality of antennas |
US16/433,273 US10476719B2 (en) | 2005-08-23 | 2019-06-06 | Pilot symbol patterns for transmission through a plurality of antennas |
US16/666,650 US10700905B2 (en) | 2005-08-23 | 2019-10-29 | Pilot symbol patterns for transmission through a plurality of antennas |
US16/915,764 US20200328923A1 (en) | 2005-08-23 | 2020-06-29 | Pilot Symbol Patterns for Transmission through a Plurality of Antennas |
Applications Claiming Priority (6)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US71052705P | 2005-08-23 | 2005-08-23 | |
US72274405P | 2005-09-30 | 2005-09-30 | |
PCT/CA2006/001380 WO2007022628A1 (en) | 2005-08-23 | 2006-08-22 | Adaptive two-dimensional channel interpolation |
US6456608A | 2008-09-04 | 2008-09-04 | |
US13/665,982 US8842756B2 (en) | 2005-08-23 | 2012-11-01 | Adaptive one-dimensional channel interpolation |
US13/944,022 US9270510B2 (en) | 2005-08-23 | 2013-07-17 | Adaptive two-dimensional channel interpolation |
Related Parent Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US13/665,982 Continuation US8842756B2 (en) | 2005-08-23 | 2012-11-01 | Adaptive one-dimensional channel interpolation |
Related Child Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US15/046,934 Continuation US9432232B2 (en) | 2005-08-23 | 2016-02-18 | Pilot symbol patterns for transmit antennas |
Publications (2)
Publication Number | Publication Date |
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US20140119471A1 US20140119471A1 (en) | 2014-05-01 |
US9270510B2 true US9270510B2 (en) | 2016-02-23 |
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Family Applications (10)
Application Number | Title | Priority Date | Filing Date |
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US12/064,566 Active 2028-10-31 US8331465B2 (en) | 2005-08-23 | 2006-08-22 | Adaptive two-dimensional channel interpolation |
US13/665,982 Active US8842756B2 (en) | 2005-08-23 | 2012-11-01 | Adaptive one-dimensional channel interpolation |
US13/666,542 Active US8619891B2 (en) | 2005-08-23 | 2012-11-01 | Adaptive two-dimensional channel interpolation |
US13/944,022 Active US9270510B2 (en) | 2005-08-23 | 2013-07-17 | Adaptive two-dimensional channel interpolation |
US14/088,531 Active US8837631B2 (en) | 2005-08-23 | 2013-11-25 | Adaptive two-dimensional channel interpolation |
US15/046,934 Active US9432232B2 (en) | 2005-08-23 | 2016-02-18 | Pilot symbol patterns for transmit antennas |
US15/226,101 Active US9705720B2 (en) | 2005-08-23 | 2016-08-02 | Pilot symbol patterns for transmission via a plurality of antennas |
US15/642,956 Active US9929889B2 (en) | 2005-08-23 | 2017-07-06 | Pilot symbol patterns for transmission via a plurality of antennas |
US15/891,750 Active US10075314B2 (en) | 2005-08-23 | 2018-02-08 | Pilot symbol patterns for transmission through a plurality of antennas |
US16/110,205 Active US10200226B2 (en) | 2005-08-23 | 2018-08-23 | Pilot symbol patterns for transmission through a plurality of antennas |
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US12/064,566 Active 2028-10-31 US8331465B2 (en) | 2005-08-23 | 2006-08-22 | Adaptive two-dimensional channel interpolation |
US13/665,982 Active US8842756B2 (en) | 2005-08-23 | 2012-11-01 | Adaptive one-dimensional channel interpolation |
US13/666,542 Active US8619891B2 (en) | 2005-08-23 | 2012-11-01 | Adaptive two-dimensional channel interpolation |
Family Applications After (6)
Application Number | Title | Priority Date | Filing Date |
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US14/088,531 Active US8837631B2 (en) | 2005-08-23 | 2013-11-25 | Adaptive two-dimensional channel interpolation |
US15/046,934 Active US9432232B2 (en) | 2005-08-23 | 2016-02-18 | Pilot symbol patterns for transmit antennas |
US15/226,101 Active US9705720B2 (en) | 2005-08-23 | 2016-08-02 | Pilot symbol patterns for transmission via a plurality of antennas |
US15/642,956 Active US9929889B2 (en) | 2005-08-23 | 2017-07-06 | Pilot symbol patterns for transmission via a plurality of antennas |
US15/891,750 Active US10075314B2 (en) | 2005-08-23 | 2018-02-08 | Pilot symbol patterns for transmission through a plurality of antennas |
US16/110,205 Active US10200226B2 (en) | 2005-08-23 | 2018-08-23 | Pilot symbol patterns for transmission through a plurality of antennas |
Country Status (3)
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US (10) | US8331465B2 (en) |
EP (3) | EP1929684A4 (en) |
WO (1) | WO2007022628A1 (en) |
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US8619891B2 (en) | 2013-12-31 |
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WO2007022628A1 (en) | 2007-03-01 |
US9432232B2 (en) | 2016-08-30 |
EP3174235A1 (en) | 2017-05-31 |
US20180167247A1 (en) | 2018-06-14 |
US20130128997A1 (en) | 2013-05-23 |
US20140119471A1 (en) | 2014-05-01 |
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