Using the Global Positioning System (GPS) for geodetic positioning

Bossler, John D.; Goad, Clyde C.; Bender, P. L.

doi:10.1007/bf02530713

Cited by 72 publications

(23 citation statements)

References 9 publications

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“…Until recently, ambiguities were only resolved as integers in so-called double difference processing whereby dual-pairs of measurements (made for example from two receivers to the same two satellites) are differenced to produce one measurement [4]. The differencing is carried out primarily to remove common transmitter and receiver biases contained in the measurements.…”

Section: Introductionmentioning

confidence: 99%

Undifferenced GPS Ambiguity Resolution Using the Decoupled Clock Model and Ambiguity Datum Fixing

Collins¹,

Bisnath²,

Lahaye³

et al. 2010

Navigation

260

141

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This paper describes a method of processing Global Positioning System (GPS)observations to achieve undifferenced ambiguity resolution. Dual-frequency carrier phase and pseudorange measurements are processed by specifying separate oscillator parameters for the carrier phase and pseudorange measurements. Carrier phase estimates of the oscillator errors are arbitrarily biased with respect to the pseudorange estimates, and ambiguity parameters are constrained to be integer-valued. A network solution is necessary to compute the satellite code and phase clocks required as fixed parameters in single-user Precise Point Positioning (PPP) solutions. In the PPP results presented here, the LAMBDA method was used to optimally resolve ambiguities at each epoch. Only a small improvement in position error is gained with 5-minute static processing over 24 hours. However, there is a significant reduction in convergence time, and with 30-sec static processing after 60 minutes, 90% of solutions approach 2cm horizontal error, compared to 10cm for standard PPP.

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Section: Introductionmentioning

confidence: 99%

Undifferenced GPS Ambiguity Resolution Using the Decoupled Clock Model and Ambiguity Datum Fixing

Collins¹,

Bisnath²,

Lahaye³

et al. 2010

Navigation

260

141

View full text Add to dashboard Cite

show abstract

“…Unfortunately it does not-the dependency comes from the first column and last m columns of the matrix in (2.11) being linearly dependent. The most common approach to getting around this difficulty is to use the double differencing technique (see, for example, [2] and [14])-choose one satellite as the reference satellite and then subtract the single difference measurement equations corresponding to other satellites from the single difference measurement equation corresponding to the reference satellite. But as we mentioned in section 1, this has some drawbacks.…”

Section: The Orthogonal Transformation Approachmentioning

confidence: 99%

“…One can choose a particular satellite to be the "reference satellite" and then difference the single differenced measurements from the reference satellite with those from the other satellites. This is called the double differencing technique (see [2]). Using double differencing can eliminate the two receivers' clock errors.…”

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confidence: 99%

An Orthogonal Transformation Algorithm for GPS Positioning

Chang¹,

Paige²

2003

SIAM J. Sci. Comput.

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Abstract. The Global Positioning System (GPS) is a satellite based navigation system. GPS satellites transmit signals that allow one to determine the location of GPS receivers. In GPS, a typical technique for kinematic position estimation is differential positioning where two receivers are used: one receiver is stationary and its exact position is known, and the other is roving and its position is to be estimated. We describe the physical situation and derive the mathematical model based on the difference of the so-called carrier phase measurements at the stationary and roving receivers. We then present a recursive least squares approach for position estimation. We take full account of the structure of the problem to make our algorithm efficient, and use orthogonal transformations to ensure numerical reliability of the algorithm. Simulation results are presented to demonstrate the performance of the algorithm. A comparison with the van Graas and Lee positioning algorithm [Navigation, Journal of the Institute of Navigation, 42 (1995), pp. 605-618] is given. Our algorithm is seen to be both efficient and accurate, but an additional contribution of this approach is that some of the drawbacks of double differencing are avoided, and yet the vector of double differenced integer ambiguities is still available and can be used to fix the integer ambiguities and handle satellite rising and setting.

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“…If the DD ionospheric delays are sufficiently small, e.g., over short baselines <10 km, the delays can be neglected and the ambiguity resolution can be achieved by using only the phase measurements [2][3][4]. If the DD ionospheric delays are non-negligible, e.g., over medium or long baselines, one has to estimate ambiguities and ionosphere parameters together in a least-squares adjustment.…”

Section: Introductionmentioning

confidence: 99%

BeiDou System (BDS) Triple-Frequency Ambiguity Resolution without Code Measurements

Chu

Yang

2018

Remote Sensing

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Phase and code measurements achieve ambiguity resolution in medium-or long-baseline computation. However, the code multipath effect on Global Navigation Satellite Systems (GNSS) phase and code measurements is a main source of error for ambiguity resolution, in particular the code multipath. The BeiDou System (BDS) of China is fully operational in the Asia-Pacific region and provides triple-frequency (B1, B2 and B3) measurements. Although previous research about BDS triple-frequency baseline computation indicated that using triple-frequency measurements improves the performance of ambiguity resolution, the respective methods are still impacted by code multipath since the code measurements are incorporated in the methods. Therefore, it is of interest to further improve the ambiguity resolution of BDS triple-frequency baseline computation by excluding the code multipath. We propose a modified phase-only method that only uses triple-frequency phase measurements to achieve BDS ambiguity resolution and evaluate the performance of the method. Observations from experimental medium and long baselines were collected with Trimble NetR9 receivers. The related ambiguity-resolution performances are computed with the phase-only method and a generalized phase-code method. The results show that the phase-only ambiguity resolution is feasible and generally performs better than the phase-code ambiguity resolution, but the improvement is subject to phase noise and satellite geometry.

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Using the Global Positioning System (GPS) for geodetic positioning

Cited by 72 publications

References 9 publications

Undifferenced GPS Ambiguity Resolution Using the Decoupled Clock Model and Ambiguity Datum Fixing

Undifferenced GPS Ambiguity Resolution Using the Decoupled Clock Model and Ambiguity Datum Fixing

An Orthogonal Transformation Algorithm for GPS Positioning

BeiDou System (BDS) Triple-Frequency Ambiguity Resolution without Code Measurements

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