A new ambiguity acceptance test threshold determination method with controllable failure rate

Wang, Lei & Verhagen, Sandra (2015) A new ambiguity acceptance test threshold determination method with controllable failure rate. Journal of Geodesy, 89(4), pp. 361-375.

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The ambiguity acceptance test is an important quality control procedure in high precision GNSS data processing. Although the ambiguity acceptance test methods have been extensively investigated, its threshold determine method is still not well understood. Currently, the threshold is determined with the empirical approach or the fixed failure rate (FF-) approach. The empirical approach is simple but lacking in theoretical basis, while the FF-approach is theoretical rigorous but computationally demanding. Hence, the key of the threshold determination problem is how to efficiently determine the threshold in a reasonable way. In this study, a new threshold determination method named threshold function method is proposed to reduce the complexity of the FF-approach. The threshold function method simplifies the FF-approach by a modeling procedure and an approximation procedure. The modeling procedure uses a rational function model to describe the relationship between the FF-difference test threshold and the integer least-squares (ILS) success rate. The approximation procedure replaces the ILS success rate with the easy-to-calculate integer bootstrapping (IB) success rate. Corresponding modeling error and approximation error are analysed with simulation data to avoid nuisance biases and unrealistic stochastic model impact. The results indicate the proposed method can greatly simplify the FF-approach without introducing significant modeling error. The threshold function method makes the fixed failure rate threshold determination method feasible for real-time applications.

Impact and interest:

11 citations in Scopus
10 citations in Web of Science®
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ID Code: 79016
Item Type: Journal Article
Refereed: Yes
Keywords: Ambiguity acceptance test, Fixed failure rate approach, Ratio test, Difference test, Threshold function
DOI: 10.1007/s00190-014-0780-2
ISSN: 1432-1394
Subjects: Australian and New Zealand Standard Research Classification > EARTH SCIENCES (040000) > GEOPHYSICS (040400)
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) > Geodesy (090902)
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2014 Springer-Verlag Berlin Heidelberg
Copyright Statement: The final publication is available at Springer via http://dx.doi.org/10.1007/s00190-014-0780-2
Deposited On: 30 Nov 2014 22:47
Last Modified: 04 May 2016 23:11

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