A Controllable Success Fix Rate Threshold Determination Method for GNSS Ambiguity Acceptance Tests
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State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China
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Collaborative Innovation Center for Geospatial Technology, Wuhan 430079, China
3
School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China
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School of Electronic and Information Engineering, Beihang University, 37 Xueyuan Road, Beijing 100083, China
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School of Electrical Engineer and Computer Science, Queensland University of Technology, Brisbane QLD 4001, Australia
*
Author to whom correspondence should be addressed.
Remote Sens. 2019, 11(7), 804; https://doi.org/10.3390/rs11070804
Received: 27 February 2019 / Revised: 30 March 2019 / Accepted: 1 April 2019 / Published: 3 April 2019
(This article belongs to the Special Issue High-precision GNSS: Methods, Open Problems and Geoscience Applications)
Global navigation satellite system (GNSS) integer ambiguity acceptance test is one of the open problems in GNSS data processing. A number of ambiguity acceptance tests have been proposed from different perspectives and then unified into the integer aperture estimation framework. The existing comparative studies indicate that the impact of test statistics form on the test performance is less critical, while how to construct an efficient, practical test threshold is still challenging. Based on the likelihood ratio test theory, a new computationally efficient ambiguity acceptance test with controllable success fix rate, namely the fixed likelihood ratio (FL-) approach is proposed, which does not require Monte Carlo simulation. The study indicates that the fixed failure rate (FF-) approach can only control the overall failure rate of the acceptance region, but the local failure rate is not controllable. The proposed FL-approach only accepts the fixed solution meeting the likelihood ratio requirement. With properly chosen likelihood ratio threshold, the FL-approach achieves comparable success rate as the FF-approach and even lower failure rate than the FF-approach for the strong underlying model cases. The fixed success fix rate of the FL-approach is verified with both simulation data and real GNSS data. The numerical results indicate that the success fix rate of the FL-approach achieves >98% while the failure rate is <1.5%. The real-time kinematic (RTK) positioning with ambiguities tested by the FL-approach achieved 1–2cm horizontal precision and 2–4 cm vertical precision for all tested baselines, which confirms that the FL-approach can serve as a reliable and efficient threshold determination method for the GNSS ambiguity acceptance test problem.
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Keywords:
likelihood ratio test; fixed failure rate approach; success fix rate; ambiguity acceptance test; ambiguity resolution
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Wang, L.; Chen, R.; Shen, L.; Zheng, F.; Feng, Y.; Guo, J. A Controllable Success Fix Rate Threshold Determination Method for GNSS Ambiguity Acceptance Tests. Remote Sens. 2019, 11, 804. https://doi.org/10.3390/rs11070804
AMA Style
Wang L, Chen R, Shen L, Zheng F, Feng Y, Guo J. A Controllable Success Fix Rate Threshold Determination Method for GNSS Ambiguity Acceptance Tests. Remote Sensing. 2019; 11(7):804. https://doi.org/10.3390/rs11070804
Chicago/Turabian StyleWang, Lei; Chen, Ruizhi; Shen, Lili; Zheng, Fu; Feng, Yanming; Guo, Jiming. 2019. "A Controllable Success Fix Rate Threshold Determination Method for GNSS Ambiguity Acceptance Tests" Remote Sens. 11, no. 7: 804. https://doi.org/10.3390/rs11070804
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