A data driven partial ambiguity resolution: Two step success rate criterion, and its simulation demonstration

Hou, Yanqing; Verhagen, Sandra; Wu, Jie

doi:10.1016/j.asr.2016.07.029

Cited by 13 publications

(10 citation statements)

References 20 publications

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“…Ambiguity subset selection contains two main questions: First, we need to define the screening order of every ambiguity based on certain criteria. Many methods have been used, such as the elevation ordering strategy [9,10,11,12], the ADOP minimization strategy [13,19], and the SRC strategy [2,3,4,5,6,7]. Second, after the order is determined, the size of ambiguity subset needs to be determined as well.…”

Section: Theory Of Ambiguity Resolutionmentioning

confidence: 99%

“…Furthermore, as presented in Equation (10), the larger the dimension of the ambiguity subset is, the higher the baseline precision is, so when choosing an ambiguity subset, its influence on baseline precision should also be considered. In order to fully evaluate the baseline precision after fixing the partial ambiguities, the Baseline Precision Defect (BPD) is defined in this paper as follows, and a similar concept can also be found in Teunissen [24] and Hou [6]: BPD=trfalse(Qtrueb^trueb^false)trfalse(Qtrueb⌣trueb⌣false)−trfalse(Qtrueb^trueb^false)trfalse(Qtrueb⌣false(z⌣pfalse)trueb⌣false(z⌣pfalse)false) where Qtrueb^trueb^, Qtrueb⌣trueb⌣, and Qtrueb⌣false(z⌣pfalse)trueb⌣false(z⌣pfalse) represent the variance-covariance matrix of the float baseline, fixed baseline (updated by the full ambiguities set), and partial fixed baseline (updated by the ambiguity subset), respectively. …”

Section: A New Model-driven and Data-driven Partial Ambiguity Resomentioning

confidence: 99%

“…The idea of PAR was first proposed by Teunissen, and the subset was selected based on the Bootstrapping Success Rate (BSR) criterion, so it is named the Success Rate Criterion (SRC) [2]. As SRC performs well in guaranteeing the fixed success rate of ambiguities, it has been widely used in ambiguity resolution [3,4,5,6,7]. Many other strategies have been proposed to select ambiguity subsets, which can generally be divided into three levels and two categories [8], that is, the satellite level, frequency level, and ambiguity level and the model-driven category and data-driven category.…”

Section: Introductionmentioning

confidence: 99%

“…First, as there are several methods to select an ambiguity subset, most of them are independent from each other and have their own advantages and disadvantages, so it is difficult for users to choose which method to use. In addition, since the purpose of fixing ambiguity is to improve the precision of the baseline vector, its influence on the baseline solution needs to be considered when selecting an ambiguity subset [6,24,25,26]. Therefore, a comprehensive method that includes most of the advantages of the current methods as well as considers the precision improvement at baseline is needed.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A Triple Checked Partial Ambiguity Resolution for GPS/BDS RTK Positioning

Liu

et al. 2019

Sensors

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Reliable and accurate carrier phase ambiguity resolution is the key to high-precision Global Navigation Satellite System (GNSS) positioning and application. With the fast development of modern GNSS, the increased number of satellites and ambiguities makes it hard to fix all ambiguities completely and correctly. The partial ambiguity fixing technique, which selects a suitable subset of high-dimensional ambiguities to fix, is beneficial for improving the fixed success rate and reliability of ambiguity resolution. In this contribution, the bootstrapping success rate, bounded fixed-failure ratio test, and the new defined baseline precision defect are used for the selection of the ambiguity subset. Then a model and data dual-driven partial ambiguity resolution method is proposed with the above three checks imposed on it, which is named the Triple Checked Partial Ambiguity Resolution (TC-PAR). The comprehensive performance of TC-PAR compared to the full-fixed LAMBDA method is also analyzed based on several criteria including the fixed rate, the fixed success rate and correct fixed rate of ambiguity as well as the precision defect and RMS of the baseline solution. The results show that TC-PAR could significantly improve the fixed success rate of ambiguity, and it has a comparable baseline precision to the LAMBDA method, both of which are at centimeter level after ambiguities are fixed.

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Section: Theory Of Ambiguity Resolutionmentioning

confidence: 99%

Section: A New Model-driven and Data-driven Partial Ambiguity Resomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Triple Checked Partial Ambiguity Resolution for GPS/BDS RTK Positioning

Liu

et al. 2019

Sensors

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“…Based on ILS, there are the fast ambiguity resolution approach (FARA) [ 11 ], the least-squares ambiguity decorrelation adjustment (LAMBDA) [ 12 ], and the least-squares ambiguity search technique (LSAST) [ 13 ]. Other AR methods based on the Success Rate Criterion (SRC) have also been proposed [ 14 , 15 ]. By accurately solving the integer ambiguity, we can obtain a fix solution, which is a centimeter-class positioning estimation result.…”

Section: Introductionmentioning

confidence: 99%

Improvement of Reliability Determination Performance of Real Time Kinematic Solutions Using Height Trajectory

Takanose

Atsumi

Takikawa

et al. 2021

Sensors

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Autonomous driving support systems and self-driving cars require the determination of reliable vehicle positions with high accuracy. The real time kinematic (RTK) algorithm with global navigation satellite system (GNSS) is generally employed to obtain highly accurate position information. Because RTK can estimate the fix solution, which is a centimeter-level positioning solution, it is also used as an indicator of the position reliability. However, in urban areas, the degradation of the GNSS signal environment poses a challenge. Multipath noise caused by surrounding tall buildings degrades the positioning accuracy. This leads to large errors in the fix solution, which is used as a measure of reliability. We propose a novel position reliability estimation method by considering two factors; one is that GNSS errors are more likely to occur in the height than in the plane direction; the other is that the height variation of the actual vehicle travel path is small compared to the amount of movement in the horizontal directions. Based on these considerations, we proposed a method to detect a reliable fix solution by estimating the height variation during driving. To verify the effectiveness of the proposed method, an evaluation test was conducted in an urban area of Tokyo. According to the evaluation test, a reliability judgment rate of 99% was achieved in an urban environment, and a plane accuracy of less than 0.3 m in RMS was achieved. The results indicate that the accuracy of the proposed method is higher than that of the conventional fix solution, demonstratingits effectiveness.

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ERTK: extra-wide-lane RTK of triple-frequency GNSS signals

Zhang

et al. 2017

J Geod

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A data driven partial ambiguity resolution: Two step success rate criterion, and its simulation demonstration

Cited by 13 publications

References 20 publications

A Triple Checked Partial Ambiguity Resolution for GPS/BDS RTK Positioning

A Triple Checked Partial Ambiguity Resolution for GPS/BDS RTK Positioning

Improvement of Reliability Determination Performance of Real Time Kinematic Solutions Using Height Trajectory

ERTK: extra-wide-lane RTK of triple-frequency GNSS signals

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