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Sensors 2018, 18(9), 3018; https://doi.org/10.3390/s18093018

Improving GNSS Ambiguity Acceptance Test Performance with the Generalized Difference Test Approach

1
State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China
2
Collaborative Innovation Center for Geospatial Technology, Wuhan 430079, China
3
School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China
4
Science and Engineer Faculty, Queensland University of Technology, Brisbane QLD 4000, Australia
*
Authors to whom correspondence should be addressed.
Received: 25 July 2018 / Revised: 30 August 2018 / Accepted: 5 September 2018 / Published: 9 September 2018
(This article belongs to the Section Remote Sensors)
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Abstract

In Global navigation satellite system (GNSS) data processing, integer ambiguity acceptance test is considered as a challenging problem. A number of ambiguity acceptance tests have been proposed from different perspective and then unified into the integer aperture estimation (IA) framework. Among all the IA estimators, the optimal integer aperture (OIA) achieves the highest success rate with the fixed failure rate tolerance. However, the OIA is of less practical appealing due to its high computation complexity. On the other hand, the popular discrimination tests employ only two integer candidates, which are the essential reason for their sub-optimality. In this study, a generalized difference test (GDT) is proposed to exploit the benefit of including three or more integer candidates to improve their performance from theoretical perspective. The simulation results indicate that the third best integer candidates contribute to more than 70% success rate improvement for integer bootstrapping success rate higher than 0.8 case. Therefore, the GDT with three integer candidates (GDT3) achieves a good trade-off between the performance and computation burden. The threshold function is also applied for rapid determination of the fixed failure rate (FF)-threshold for GDT3. The performance improvement of GDT3 is validated with real GNSS data set. The numerical results indicate that GDT3 achieves higher empirical success rate while the empirical failure rate remains comparable. In a 20 km baseline test, the success rate GDT3 increase 7% with almost the same empirical failure rate. View Full-Text
Keywords: GNSS; Ambiguity Resolution; Quality Control GNSS; Ambiguity Resolution; Quality Control
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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. (CC BY 4.0).
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Wang, L.; Chen, R.; Shen, L.; Feng, Y.; Pan, Y.; Li, M.; Zhang, P. Improving GNSS Ambiguity Acceptance Test Performance with the Generalized Difference Test Approach. Sensors 2018, 18, 3018.

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