A discrimination test procedure for ambiguity resolution on-the-fly

Wang, Jinling; Stewart, Michael; Tsakiri, Maria

doi:10.1007/s001900050204

Cited by 159 publications

(71 citation statements)

References 16 publications

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“…For the ambiguity resolution, the LAMBDA method was applied (Teunissen 1995). Validation of the solution was performed using W-ratio test (Wang et al 1998).…”

Section: Methodsmentioning

confidence: 99%

Assessment of GPS + Galileo and multi-frequency Galileo single-epoch precise positioning with network corrections

Paziewski

Wielgosz

2013

GPS Solut

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Several processing strategies that use dual-frequency GPS-only solution, multi-frequency Galileo-only solution, and finally tightly combined dual-frequency GPS ? Galileo solution were tested and analyzed for their applicability to single-epoch long-range precise positioning. In particular, a multi-system GPS ? Galileo solution was compared to GPS double-frequency solution as well as to Galileo double-, triple-, and quadruple-frequency solutions. Also, the performance of the strategies was analyzed under clear-sky and obstructed satellite visibility in both single-baseline and multi-baseline modes. The results indicate that tightly combined GPS ? Galileo instantaneous positioning has a clear advantage over single-system solutions and provides an accurate and reliable solution. It was also confirmed that application of multi-frequency observations in case of Galileo system has an advantage over a dual-frequency solution.

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“…For the ambiguity resolution, the LAMBDA method was applied (Teunissen 1995). Validation of the solution was performed using W-ratio test (Wang et al 1998).…”

Section: Methodsmentioning

confidence: 99%

Assessment of GPS + Galileo and multi-frequency Galileo single-epoch precise positioning with network corrections

Paziewski

Wielgosz

2013

GPS Solut

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“…Recently, an ambiguity validation (discrimination) test procedure has been proposed (Wang et al, 1998). This procedure is based on the ratio (called W -ratio) of the difference between the minimum and second minimum quadratic forms of the least-squares residuals and its standard deviation.…”

Section: Ambiguity Validation Proceduresmentioning

confidence: 99%

A comparative study of the integer ambiguity validation procedures

2014

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In GPS and GLONASS satellite-based positioning, the correct determination of the integer carrier phase ambiguities is the key to achieve precise positioning results. The process of determining the ambiguities, called ambiguity resolution, is usually separated into three steps: (a) estimating the float or real-valued ambiguities, (b) searching the best integer ambiguity set, (c) validating the best ambiguity set. Whilst the theory and methodology for ambiguity estimation and search are well documented, the ambiguity validation issue is still under investigation. Existing ambiguity validation procedures are based on various statistical assumptions and therefore, may have different performances in practical applications. In this paper, the major ambiguity validation procedures are analysed and their performances in both GPS and GLONASS ambiguity resolution are numerically compared. It is concluded that both the probability of estimating ambiguities correctly and confidence levels of the ambiguity discrimination tests are both important indicators of the reliability of ambiguity resolution.

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“…Different choices for T can be made. Examples include the ratiotest, the difference-test and the projection-test [14][15][16][17][18]. All these tests can be cast in the framework of Integer Aperture Estimation (IAE) [19][20][21].The ratio-test is probably one of the most popular.…”

Section: Integer Solutionmentioning

confidence: 99%

GNSS Integer Ambiguity Estimation and Evaluation: LAMBDA and Ps-LAMBDA

Verhagen

Teunissen

2013

Lecture Notes in Electrical Engineering

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Abstract. Successful integer carrier-phase ambiguity resolution is crucial for high precision GNSS applications. It includes both integer estimation and evaluation. For integer estimation, the LAMBDA method has been applied in a wide variety of GNSS applications. The method's popularity stems from its numerical efficiency and statistical optimality. However, before conducting ambiguity resolution, one needs to infer how reliable the fixed solution can expected to be, as incorrect fixed ambiguity solutions often lead to unacceptable positioning errors. In this paper, two Matlab software tools are introduced for the evaluation and integer estimation: Ps-LAMBDA and an updated version of LAMBDA. Evaluation of the integer solution is based on the ambiguity success rate. Since this probability of correct integer estimation is generally difficult to compute, easy-to-use approximations and bounds of the ambiguity success rate are provided by the Ps-LAMBDA software. This success rate tool is valuable not only for inferring whether to fix the ambiguities but also for design and research purposes. For the actual integer estimation, the updated version of the LAMBDA software, provides now more options of integer estimation and integer search, including the searchand-shrink strategy. In addition, the Fixed Failure-rate Ratio Test (FF-RT) and the Fixed Critical-value Ratio Test (FC-RT) are incorporated for users to validate the significance of the fixed solution. Using these two software tools together allows for the combined execution of integer estimation and evaluation, thus benefiting multi-frequency, multi-GNSS applications.

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A discrimination test procedure for ambiguity resolution on-the-fly

Cited by 159 publications

References 16 publications

Assessment of GPS + Galileo and multi-frequency Galileo single-epoch precise positioning with network corrections

Assessment of GPS + Galileo and multi-frequency Galileo single-epoch precise positioning with network corrections

A comparative study of the integer ambiguity validation procedures

GNSS Integer Ambiguity Estimation and Evaluation: LAMBDA and Ps-LAMBDA

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