Fixed failure rate ambiguity validation methods for GPS and compass

Wang, Lei & Feng, Yanming (2013) Fixed failure rate ambiguity validation methods for GPS and compass. In Sun, Jiadong, Jiao, Wenhai, Wu, Haitao, & Shi, Chuang (Eds.) China Satellite Navigation Conference (CSNC) 2013 Proceedings: Satellite Navigation Signal System, Compatibility and Interoperability; Augmentation and Integrity Monitoring; Models and Methods [Lecture Notes in Electrical Engineering, Volume 244], Springer-Verlag Berlin Heidelberg, Wuhan International Conference and Exhibition Center, Wuhan, China, pp. 379-397.

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Abstract

Ambiguity resolution plays a crucial role in real time kinematic GNSS positioning which gives centimetre precision positioning results if all the ambiguities in each epoch are correctly fixed to integers. However, the incorrectly fixed ambiguities can result in large positioning offset up to several meters without notice. Hence, ambiguity validation is essential to control the ambiguity resolution quality. Currently, the most popular ambiguity validation is ratio test. The criterion of ratio test is often empirically determined. Empirically determined criterion can be dangerous, because a fixed criterion cannot fit all scenarios and does not directly control the ambiguity resolution risk. In practice, depending on the underlying model strength, the ratio test criterion can be too conservative for some model and becomes too risky for others.

A more rational test method is to determine the criterion according to the underlying model and user requirement. Miss-detected incorrect integers will lead to a hazardous result, which should be strictly controlled. In ambiguity resolution miss-detected rate is often known as failure rate. In this paper, a fixed failure rate ratio test method is presented and applied in analysis of GPS and Compass positioning scenarios. A fixed failure rate approach is derived from the integer aperture estimation theory, which is theoretically rigorous. The criteria table for ratio test is computed based on extensive data simulations in the approach. The real-time users can determine the ratio test criterion by looking up the criteria table. This method has been applied in medium distance GPS ambiguity resolution but multi-constellation and high dimensional scenarios haven't been discussed so far.

In this paper, a general ambiguity validation model is derived based on hypothesis test theory, and fixed failure rate approach is introduced, especially the relationship between ratio test threshold and failure rate is examined. In the last, Factors that influence fixed failure rate approach ratio test threshold is discussed according to extensive data simulation. The result shows that fixed failure rate approach is a more reasonable ambiguity validation method with proper stochastic model.

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ID Code: 60774
Item Type: Conference Paper
Refereed: Yes
Keywords: ambiguity validation, ratio test, fixed failure rate, Quality control, multi-constellation
DOI: 10.1007/978-3-642-37404-3_34
ISBN: 9783642374036
ISSN: 1876-1100
Subjects: Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > DISTRIBUTED COMPUTING (080500)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > GEOMATIC ENGINEERING (090900) > Navigation and Position Fixing (090904)
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 Springer-Verlag Berlin Heidelberg
Copyright Statement:

This is the author-version of the work.

Conference proceedings published, by Springer Verlag, will be available via Springerlink. http://springerlink.com

Deposited On: 02 Oct 2013 01:33
Last Modified: 03 Nov 2014 21:22

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