WO2011035760A2

WO2011035760A2 - Method for determining the position of a receiver and a receiver

Info

Publication number: WO2011035760A2
Application number: PCT/DE2010/001078
Authority: WO
Inventors: Zhiguo Deng
Original assignee: Helmholtz-Zentrum Potsdam Deutsches Geoforschungszentrum -Gfz
Priority date: 2009-09-25
Filing date: 2010-09-11
Publication date: 2011-03-31
Also published as: DE112010003807A5; WO2011035760A3; DE102009043600A1

Abstract

The invention relates to a method for determining the position of a receiver, and to a receiver, and relates to a method for eliminating ambiguities to correct ionospheric delays of signals of global navigation satellite systems. The derivation of epoch-differentiated reference station corrections δL₄ ^ref (j, j +1) in a reference station network allows the derivation of epoch-differentiated receiver corrections δL₄ ^empf (j,,j + 1). The epoch-differentiated receiver corrections δL₄ ^empf (j,,j + 1) and a first measured carrier phase L₁ can be used to determine an additional carrier phase L₂ by calculation. Conventional GPS software programs can thus be used to process the determined carrier phases L₁ and L₂. It is therefore possible to determine positions in a very precise manner even when using a single-frequency receiver.

Description

Method for determining the position of a receiver and a receiver

description

The invention relates to a method for determining the

Position of a receiver, as well as a receiver and refers to a correction of ionospheric delays of signals of global navigation satellite systems.

The position of a GPS receiver is determined by the simultaneous transit time calculation of carrier phase signals of different high-flying missiles, in particular GPS satellites. Each GPS satellite continuously transmits at least two radio frequencies in the L-band, also referred to as L _x (1575.41 MHz) and L ₂ (1227.60 MHz).

A problem in the runtime calculation is the

Computational compensation of the signal delay delays caused by atmospheric influences. For example, US 2004/0204852 AI describes different types of correction of atmospheric influences of the troposphere and the ionosphere on the delay of signal transit times of the GPS satellites in the GPS receiver.

In particular, the signal propagation delay of GPS signals through the ionosphere depends on the signal frequency and is proportional to the total number of free electrons along the signal path. As the influence on the term

Frequency dependent, these delays can be eliminated by measuring at least two carrier phases and a linear combination of the carrier phases so that the influence of free charge carriers in the ionosphere on the

Signal propagation time calculation eliminated. For measurements with

Single-frequency receivers over short baselines up to several kilometers to a two-frequency reference network so the influence of the ionospheric delay can be compensated because the signal propagation paths only insignificantly

distinguish.

For baselines over ten kilometers or precise point positioning

Single-frequency receiver observations may be the

Ionospheric delay correction can not be determined with the above system approaches. Common ionospheric models based on GPS observations are derived for large regions and do not detect small and fast ionospheric changes. Their accuracy is not sufficient for precise GPS applications, such as the zenith delay calculation. A high-resolution ionosphere modeling is possible by means of the well-known numerical modeling HiRIM (high-resolution ionospheric modeling) (US Pat. No. 6,356,232 B1). This will be an additional for each satellite in each epoch Ionospheric correction determined for a primary ionosphere model. The additional corrections of

Ionospheric delays become apparent from the residuals of the two-fold differentiated observations from the surrounding

Reference station network determined by GPS stations and on

Applied to single frequency receivers. This method is also suitable for precise real-time positioning.

Another approach to processing data from GPS networks with mixed single- and dual-frequency receivers is the method of virtual reference stations (Janssen, V. and C. Rizos, Mixed-mode GPS deformation monitoring - A cost-effective and accurate alternative A Window on the

Future of Geodesy, edited by F. Sanso, pp. 533-537, 2005, Springer Press). Similar to HiRIM modeling, the ionospheric delay correction is also determined from the residuals via the dual differentiated observations of the reference stations and then interpolated to a virtual reference station near the GPS stations of interest.

Both approaches are implemented in special software developments and work in principle very efficiently. Their implementation or integration into those established on the market

However, software systems such as NASA's GIPSY-OASIS are very expensive.

Another alternative for correcting

Ionospheric delays are disclosed in DE 11 2006 002 381 T5 as a method for processing a set of GNSS signals.

Signal data derived from signals having at least two carrier frequencies and received by two or more satellites at two or more reference stations over several periods. For each satellite, a geometry-free combination of GNSS signal data is derived from two carrier frequencies and thus a determination of the carrier phase ambiguity for each reference station by means of an ionospheric advancing at a reference point and a variation of the

ionospheric advancing for several periods

performed. From these results can then be

Derive correction parameters for the ionosphere delay.

The problem with previous methods and devices for correcting ionosphere delays is that when processing GPS data from receiver networks with

mixed single-frequency and dual-frequency receivers for

Single-frequency receiver no ionosphere delay can be determined.

Object of the present invention is therefore, a

To provide a method and a receiver that provides a simple and complete correction of

Ionosphere delay also for single-frequency receivers

allows.

The problem is solved by a method according to

Features of claim 1.

The object is also achieved by a receiver according to the features of claim 9. The invention provides that a

Reference station correction of the ionosphere delay is formed as a linear function of the following form:

SU? (A _ref , e _ref ) = a ₀ + a, A _ref + a ₂ 9 _ref , and the parameters a ₀ , ai, a _{2 of} the satellite by means of the

Reference station network for the latitude _ref and the geographic length 0 _{ref of} the ionosphere Intercept Pierce points (IPP) are determined. For the position of

Receivers or the IPPs of the recipient Ä _Empf , 9 _empf are now the parameters a ₀ , ai, a ₂ to form a

Recipient correction SL ™ ' ^pf (Ä _rec , 0 _empf ) use. At least one further carrier phase L ₂ _ _e mpf is formed from the linear combination of the carrier phase Li_ _emp f and the receiver correction SL ™ ' ^pf ( _{λ receiver} , 6 _receiver ). The L ₂ _ _e mpf values are determined in particular by L ₂ _ _em pf

= Li_em _P f ^_ L ™ ^pf formed. The procedure can also be used for

alternative or optional determination of pseudo-paths Pi (1 = 1,2,4) to the carrier phases Li (i = l, 2,4) are used.

The observation of the carrier phases Li (i = l, 2) for epoch j can be represented by the following basic equation:

L _i (j) = pUyD _i (j) + Ä _i N _i , with p (j) as a non-dispersive delay under

Consideration of the geometric and tropospheric delay, as well as the clock time error, with Dj _. (j) as ionospheric delay and λ _ί as wavelength of

Carrier phase Li, and the phase ambiguity N _t with the respective frequency index i.

Assuming for the present method that a satellite is continuously tracked since epoch j ₀ , the incremental ionospheric delay SD _i between epochs jo and k may be considered <3Di (j ₀ , Jo + k) = D, (j ₀ + k) - D _i ö ₀ )

to be written. The incremental ionospheric

Delay SD can thus exclusively from the

ionospheric delay of the carrier phase can be determined at different times or epochs. This results in the observation equation of the carrier phases Li with a corresponding correction of the ionospheric delay to:

^L , t / o + ^k ) + ^a i ^SD ito> Jo + ^k ) = PUo + λ, Ν,

with ai as a _i . The respective further carrier phases

with i = l, 2 can thus be determined from derived observations of the first carrier phase L _x .

In the known zenith delay calculation, the

Assumption made that L ₄ according to the following form

L ₄ = L, -L ₂ = N _X - λ ₂ Ν ₂ - (D _x -D ₂ ), can be expressed and by means of Lf a correction of the ionospheric delay in the running time calculation is possible. The, in particular phase-related,

Ambiguities in the determination of U very often lead to erroneous calculations of the ionospheric delay. In order to avoid the erroneous calculation, the epoch-differentiated receiver corrections are used in the present method

SL ° " ^pf (j, j + l).

By considering the respective epoch-differentiated reference station correction SL '(j, j + 1) or the epoch-differentiated receiver correction δ £' ^φ , the Influence of the ambiguities on the calculation result, in comparison to the calculation of the absolute values X ^ and L ^e ™ ^f ,

significantly reduced. The special feature of this method is that the well-known and used software routines, such as NASA's GIPSY-OASIS, can be set up directly, thus making it very easy to compact the existing GNSS networks for retrieving information of higher spatial resolution.

In an advantageous embodiment of the method, it is provided that the summation of individual epoch-differentiated receiver corrections SL "" ^pf + T) is formed. The epoch-differentiated recipient corrections

SL ^e ™ ^pf +1) of the ionosphere delays from the surrounding dual-frequency reference stations are used to determine the model for satellite-specific ionospheric delay. The correction of the ionospheric delay is derived from the integration of the changes of the ionospheric delay of the individual epochs from the established model for signals of only the first carrier phase L. Instead of the immediate one

Determination of the ionospheric delay L "" ^{pf becomes} the

corresponding changes in the ionospheric delays are modeled using the epoch-differentiated receiver corrections 5L ^e ™ ^f (j, j + V), so that any occurring

Ambiguity problems can be considered in the calculation. Since the epoch-differentiated ionospheric delay can be well determined for sufficiently long time windows, it is proposed according to the present method, this for the To use evaluations. These epoch-differentiated

Ionosphere delays comprise two parts, part of which is due to the spatial and temporal variation of the

Distribution of the electron density of successive epochs is characterized. Another part is caused by the change of signal paths due to the movement of the satellite. A simple solution would be to map the path delay and use it to determine the zenith delay, similar to the determination of the tropospheric delay. However, this figure is not well known and leads to significant distortions. Usually, the influence of the ionosphere on the

Signaling path, which extends over a height of about 50 km to over 1000 km, approximated by a thin layer at a height of mostly 350 km above the earth's surface. The spatial change of the ionosphere delay is then expressed by the positions of the so-called intercept pierce points (IPP) of the signal path in the model layer of the ionosphere.

Similar to residual matching, epoch-differentiated ionospheric delays from a series of reference stations to a given satellite are adjusted to a linear function, for example to a plane of latitude A _ref and geographic length 0 _{ref of} the ionosphere intercept pierce points (IPP) as variables ,

In principle, the parameters a ₀ , ai, a ₂ of three

Reference stations are determined. More reference stations increase the reliability and accuracy of the determination. The parameter estimation is done by adjusting the least squares for each satellite in each epoch to a satellite and time-specific area model.

With the generated model for epoch j, the epoch-differentiated correction of the ionosphere delay of the

Single-frequency receivers within the reference network are calculated. The correction for the ionosphere delay at epoch k, which is continuously tracked since epoch j ₀ , results from the sum of the respective incremental epoch-differentiated receiver ^corrections SL " ^npf + 1) of the ionosphere ^delay .

With these calculations, the corrections of the

Ionosphere delay from all single-frequency receivers are transformed to an ionosphere-free model. To the data of single and multi-frequency receivers with the same

Software editing can be done with this

Formalism for the single-frequency _receiver , the simulated further carrier phase Li_ _empf , in particular L ₂ _ _empf generate. The simulated further carrier phase L ₂ _em _P f thus results in the first carrier phase Li_ _em f and a function of the epoch-differentiated receiver corrections δΙ " ^{ρ /} + Ϊ).

In a further advantageous embodiment of the method is provided that the further carrier phase L ₂ _ _emp f (k) for

Epoch k of the satellite is determined by the following form:

This gives rise to the possibility that not the

location-dependent correction L ₄ _ _{e of} the ionospheric delay must be determined, but only the epochal differentiated receiver corrections δΠ ™ ^ρ1 the

Ionospheric delays. Furthermore, this results in the advantage that when faulty

Calculation results, for example, in arithmetic ambiguities, the summation of epoch-differentiated

Receiver corrections öÜ ™ ^pf can be restarted in a new era. Alternatively, the epoch-differentiated receiver corrections 8Ü ™ ^{pf may} also be time-integrated over the epochs.

The correction of the ionosphere delay becomes

advantageously calculated in the receiver on the basis of the carrier phase Li_ _emp f (k) and L ₂ _ _e mpf (k) to the epoch k of the satellite. Likewise, the corrections of the

Ionospheric delay in the receiver based on the _received carrier phase Li_ (k) and L ₂ _ m _e _P f (k) for each individual

Satellite calculated for epoch k. The summation of the epoch-differentiated receiver corrections SL1 " ^pf is thus started again at a further epoch ji if it is to be used in the calculation of ambiguities with respect to the

current summation starting at the epoch jo and used for the calculation of the carrier phase Li._empf (k) and L ₂ _ _em pf (k) to the epoch k of the satellite. By means of a multi-frequency reference station network for the carrier phase Li_ _re f (k), advantageously, the epoch-differentiated receiver corrections 5L ™ ^pf for each

Satellites detected and thus the further carrier phase

L ₂ _empf (k) for the calculation of the correction of

Ionospheric delay determined in single-frequency receiver. This makes it possible to single-frequency receiver in one To use multi-frequency reference station network, and thus to improve the accuracy of the positioning of the single-frequency receiver in these reference station networks. Before the calculation of epoch-differentiated

Receiver corrections 5L ™ ' ^pf and thus the further carrier phase L ₂ _empf are advantageously outliers in the signals of the carrier phase Li_ _re f and / or discontinuities of an integer number of cycles in the measured carrier phase Li_ _ref , also called cycle slips, determined and before the calculation the epoch-differentiated receiver corrections SL ™ ^pf and thus compensated for the further carrier phase L ₂ _ _e mpf.

According to the invention is a receiver for determining the position by means of the run-time calculation of received signals of a carrier phase of a satellite at different Li_ _ref

Epochs k, equipped such that a processor based on an epoch-differentiated

Reference station corrections <5Z, ^ ^" by means of

Determines reference station network and derived therefrom an epoch-differentiated receiver corrections SL ^e ™ ^pf , wherein at least one further carrier phase L ₂ _em _P f from the carrier phase Li_em _Pf and a function of epoch-differentiated

Receiver ^corrections SL ™ ^ipf calculated.

The receiver is advantageously a

Multi-frequency receiver, in particular a

Two-frequency receiver, the correction of the

Ionosphere delay from the carrier phase Li_ _e mp _f ^and d the epoch-differentiated receiver corrections SL ^ " ^pf calculated from the transmitted evaluation using a single-frequency reference station network. In an advantageous embodiment of the receiver, it is provided that the processor calculates the carrier phases Lx_ _emp f (k) and L2_em f (k) for the current epoch k of the satellite by means of the incremental epoch-differentiated receiver corrections O L ™ ' ^pf accumulated since the epoch j ₀ .

When determining incorrect calculations,

especially in the case of computationally unresolvable ambiguities, the receiver starts at an erroneous summation of epoch-differentiated receiver corrections δΙζ " ^ρ the

Summation of epoch-differentiated receiver corrections fil »> pf bg-L d _he current epoch k or at

previous uncritical epochs of the satellite again. Furthermore solves a computer program and a

Computer program product the task, the

Computer program product is stored in a computer-readable medium and includes computer-readable means by which a computer or a receiver is caused to perform the inventive method when the program runs in the computer. The present invention may be in the form of hardware, software or a combination of

Hardware and software are realized. For this is any kind of system or any other for the execution of the

Device according to the invention adapted device suitable. The present invention can also be used in a

Computer program product to be integrated, which all

Features that make it to the realization of here

enable the computer-based methods described, and which, after loading into a computer system, is able to carry out these methods. Under the terms computer program and computer program product in the present context everyone

Expression in any computer language to understand code or notation of a set of instructions that enable a computer system to process data and thus to perform a particular function. The computer program or the computer program product is either directly or after a conversion into another language, code, notation or by the representation in a different material form on the computer system and / or in a processor of the

Receiver executable.

Further advantageous embodiments can be found in the

Dependent claims. The present invention will be explained in more detail with reference to the exemplary embodiments in the figures. This example shows the

1 shows a flowchart with the most important

Process steps;

Fig. 2 is a schematic view of the

Reference station network;

3 shows a schematic view of the data transfer of the most important components.

The figure FIG. 1 shows a flow chart of the most important

Process steps. After the start of the process of determining the carrier phase Li_ _ref by means of the

Reference station network from the reference stations 3a, 3b, 3c (not shown). Subsequently, in the

Reference station network from the reference stations 3a, 3b, 3c, the individual epoch-differentiated reference station corrections öU ( _ref , 0 _ref ) between each two epochs j, j + l for the geographical coordinates of the reference stations 3a, 3b, 3c / l _{re /} and 6 _ref determined by the determination of the parameters a ₀ , ax, a ₂ . The parameters a ₀ , ai, a ₂ are now used to determine the epoch-differentiated receiver corrections SL ^e ™ ^pf at the geographic coordinates Ä _Empf and 9 _{mpf of} the receiver

2a, 2b, 2c (not shown), and then the receiver corrections öL ™ ' ^pf formed for the individual epochs are added up, the summation beginning at a computationally convergent epoch j ₀ .

In particular, it must be ensured that during the

Period between the epoch jo and the current epoch k no computational instabilities, in particular

arithmetically not resolvable phase ambiguities occur.

If computational instabilities occur, the

Summation of epoch-differentiated recipient corrections

SL ^e ^ " ^pf (j, j + V) from the current epoch or from one

previous epoch without occurring numerical

Instabilities restarted.

With the measured carrier phase Li_ _received and the summation of the epoch-differentiated receiver corrections SL ^e ™ ^PF (j, j + 1), a further carrier phase Li_ _e m _P f> in the example of Fig. 1, the carrier phase L ₂ _ _emp f determined , The measured carrier phase Li_ _ref of the receiver 2a (not shown) and the calculation means of the reference station network of reference stations 3a, 3b, determined 3c additional carrier phase L ₂ _ _e m _Pf can in a receiver 2a now with existing GPS software packages, such as BERNESE, EPOS or GAMIT, to calculate the L ^e ™ ^pf values for the receivers 2a, 2b, 2c and thus be used to correct the ionospheric delay.

For each satellite 1 at different epochs, the above-mentioned process steps are for each receiver

2a, 2b, 2c in the reference station network of the reference stations

3a, 3b, 3c perform.

Fig. 2 shows a schematic view of the for

Procedure necessary components. The satellite 1 sends signals on at least one carrier phase L _x at an epoch to the earth's surface. In this case, the carrier phase Li crosses the ionosphere 4, experiences through the ionosphere 4 a running time change and can of a

Reference station network with reference stations 3a, 3b, 3c

be detected and evaluated. From the evaluation of the carrier phase Li_ _ref in the reference station network of

In addition, reference stations 3a, 3b, 3c can use the linear combination 8U ™ ^pf (j, j + 1) = a ₀ + ai X _em pf + a ₂ 9 _en ip _{f to} provide epoch-differentiated receiver corrections SL ^e ™ ^pf (J, j + 1) for the latitude Ä _emp f and the longitude e _e mpf the IPPs are determined.

The geographic coordinates correspond

advantageously, in particular, one of the positions of the reference stations 3a, 3b, 3c or the receivers 2a, 2b, 2c or the IPPs. Since the receivers 2a, 2b, 2c should be disposed advantageously within the reference station network of reference stations 3a, 3b, 3c, and virtual or average geographic coordinates X _received may, 9 _received are used for the calculation. The summation of the epoch-differentiated receiver corrections SL1 " ^pf + Ϊ) and the monitoring of occurring computational instabilities, such as phase ambiguities, can be calculated within the reference station network of the reference stations 3a, 3b, 3c or in the respective receivers 2a, 2b, 2c subsequent computational determination of a further carrier phase L ₂ _ _e m _P f can within the reference station network of the reference stations 3a, 3b, 3c or in the respective

Receivers 2a, 2b, 2c are calculated. The determination of the

L ^e " ^pf value for the respective receiver _{2 a, 2} b, ₂ c is possible with the carrier phase L ₂ _ _e mpf thus calculated and the first carrier phase Li_ _em pf measured in the receiver _{2 a, 2} b, 2 c, so that

existing GPS software programs can be used to correct the ionosphere delay.

In Fig. 3 is a schematic view of the satellite 1 in conjunction with three reference stations 3a, 3b, 3c of

Reference station network and a receiver 2a shown. In the reference stations 3a, 3b, 3c, the epoch-differentiated reference station corrections become

SL '(j, j + l) is determined and transmitted to the receiver 2a. In the receiver 2a, the carrier phase Li_ _emp f is determined. Alternatively, the evaluation of the carrier phase L] ._ _r e _f in the

Reference stations 3a, 3b, 3c of the reference station network are made and transmitted to the receiver 2a.

Subsequently, with the parameters a ₀ , x and a _{2 determined} from epoch-differentiated

Reference station corrections SL +1) the epoch-differentiated receiver corrections SI ™ ^pf +1). The summation of epoch-differentiated receiver corrections 5L ^e ™ ^pf + 1) also takes place in the receiver 2a. Should there be computationally unresolvable ambiguity problems, For example, the receiver 2a may combine the subsequently obtained epoch-differentiated receiver corrections SL ™ ' ^pf +1) with a newly started summation. The determined therefrom further carrier phase L ₂ _ _e can in mpf

Connection with the measured carrier phase Li_ _em pf then for the calculation of the L ₄ _ _empf value and thus for

Correction calculation of the ionosphere delay can be used. In particular, in the case of single-frequency receivers 2a, at least one further carrier phase Li_ _e mpf, in particular a second carrier phase L ₂ _{_empf} , can _thus be determined.

Claims

claims

Method for determining the position of a receiver (2a, 2b, 2c) by means of the transit time calculation of received signals of a carrier phase Li_ _{emp of} a satellite (1) at different epochs k, the signals of the

Carrier phase Li_ _re f evaluated by means of a reference station network of reference stations (3a, 3b, 3c) and used to determine an ionosphere delay for the signals of the carrier phase Li_em f,

d a d u r c h g e k e n c i n e s d a s s, a reference station correction of epoch-differentiated

Ionospheric delay SL ^{r is formed} as a linear function of the following form:

SU (A _ref , 9 _ref ) = a ₀ + α _χ λ + a _z 0 _ref

and the parameters ao, a _! , a _{2 of} the satellite (1) are determined by means of the reference station network from reference stations (3a, 3b, 3c), wherein an epoch-differentiated

Recipient correction SL ^e ™ ^pf (Ä _rec , 0 _rec ) from the parameters a ₀ , ai, a ₂ formed and determines the carrier phase L ₂ _ _e mpf from the carrier phase L ^ mpf and the receiver correction SL ^{L '} ™ ^pf .

2. The method according to claim 1,

d a d u r c h g e k e n c i n e s d a s s, the location-dependent individual epoch-differentiated corrections

SL ™ ^f (j, j + l) can be obtained from SL ^r (j, j + l) within the

Reference station network from reference stations (3a, 3b, 3c) is formed.

3. The method according to any one of claims 1 to 2,

characterized in that the ionospheric delay Z ^ for the receiver (2a, 2b, 2c) in the receiver (2a, 2b, 2c) is calculated on the basis of the SL ^e ™ ^pf (j, j +1) to the epoch k of the satellite 1).

4. The method according to any one of claims 1 to 3,

characterized in that, the ionospheric transit time calculation J ^ for the receiver (2a, 2b, 2c) in the receiver (2a, 2b, 2c) on the basis of

+1) of each individual satellite (1) at epoch k.

5. The method according to any one of claims 1 or 4,

characterized in that the further carrier phase L ₂ _ _e mpf (k) is determined for the epoch k of the satellite (1) by means of the following form:

_ ^ ⁽ * ⁾ = ⁽ * ⁾ -

6. The method according to any one of claims 2 to 5,

d a d u r c h g e k e n c i n e s d a s s, which is the summation of epoch-differentiated

Receiver corrections SL ^e ™ ^pf (j, again with another

Period ji is started, if it is in the calculation of

^ SL "" ^f (j, j + 1) to ambiguities with respect to the current summation starting at the epoch j ₀ comes and for the

Calculation of the carrier phase Li_ _re f (k) and L ₂ _ _e mpf (k) is used to epoch k of the satellite (1).

7. The method according to any one of claims 1 to 6,

characterized in that the epoch-differentiated receiver corrections 5L ^pf (j ^' , j + 1) for each satellite (1) are determined by means of a two-frequency reference station network from reference stations (3a, 3b, 3c) for the carrier phase and thus the correction U ^ ^{pf of} the ionosphere delay for the calculation of the further carrier phase L ₂ _{_rec} (k) can be used in single-frequency _receiver .

8. The method according to any one of claims 1 to 7,

d a d u r c h e c e s e n c e n e s,

Outliers in the signals of the carrier phase Li_ _ref and / or

Discontinuities of an integer number of cycles in the measured carrier phase Li_ _ref (cycle slips) and before calculating the epoch-differentiated

Receiver corrections SL ^e " ^pf (j, j +1) and thus for the additional carrier phase L ₂ _ _e m _{Pf are} compensated.

9. receiver (2a, 2b, 2c) for determining the position by means of the transit time calculation of received signals of a

Carrier phase Li_ _received a satellite (1) at different periods k, where a reference station network from

Reference stations (3a, 3b, 3c) determines the ionosphere delay of the signals of the carrier phase Lx_ _ref and the

Ionosphere delay of the carrier phase signals Li_ _ref to the receiver (2a, 2b, 2c),

d a d u r c h e c e s e n c e n e s,

a processor based on an epoch-differentiated

Reference station correction Slf + Ϊ) by means of

Reference station network from reference stations (3a, 3b, 3c) and determined from the epoch-differentiated

Reference station correction oil ^r (j, j + l) an epoch-differentiated receiver correction SL ^{e '} ^pf (j, j +1) derived and at least one further carrier phase L ₂ _{_rec} from the Linear combination of the carrier phase Li_ _e m _pf and the epoch-differentiated receiver correction SL ^e ™ ^pf (j, j +1).

10. receiver (2a, 2b, 2c) according to claim 9,

d a d u r c h e c e s e n c e n e s,

the receiver (2a, 2b, 2c) is a single-frequency receiver, which is the correction of the ionosphere delay from the carrier phase

Li_r _ef and oil '" ^pf (j, j + 1) from the transmitted evaluation by means of a multi-frequency reference station network,

in particular a two-frequency reference station network, from reference stations (3a, 3b, 3c) calculated.

11. receiver (2a, 2b, 2c) according to any one of claims 10,

d a d u r c h e c e s e n c e n e s,

the processor, the carrier phases Li_ _ref (k) and L ₂ _ _e m _pf (k) for the current epoch k of the satellite (1) by means of the epoch-differentiated corrections summed since the epoch jo

^{Oil is calculated} (j, j + 1).

12. A receiver (2a, 2b, 2c) according to any one of claims 10 to 11, d a d u c h e c e n e c e n e d a s,

the receiver (2a, 2b, 2c) at an erroneous summation

^ SL ^e "' ^f (j, j + 1), the summation of epoch-differentiated

Corrections 8L ^e ™ ^pf (j, j + ί) at the current epoch k of the

Satellite (1) starts again.

13. Computer program with program code set up for

Implementation of the method according to one of Claims 1 to 8, when the program is stored in a computer and / or in the processor of the Receiver (2a, 2b, 2c) is carried out according to one of claims 9 to 12.

14. Computer program product with program code for carrying out the method according to one of claims 1 to 8, when the program in a computer and / or in the processor of the

Receiver (2a, 2b, 2c) is carried out according to one of claims 9 to 12.