Analysis of the Error Probability and Stopping Time of the MAPAS Procedure

Christophe Macabiau and Abdelahad Benhallam

Abstract:	signed to deliver in real time the integer biases that give full access to the accurate pseudorange information con- tained within the GPS carrier phase measurements. The key performance parameters of these procedures are their time of convergence and error rate, usually estimated from experience but rarely analytically determined. Us- ing results derived for a multiple hypotheses sequential test called the Mary Sequential Probability Ratio Test (MSPRT), this paper presents a theoretical analysis of the performance parameters of the Maximum A Pos- teriori Ambiguity Search (MAPAS) procedure. In par- ticular, expressions of bounds and asymptotic values of the expected stopping time and error probability of MA- PAS are determined as functions of the decision thresh- old, thus providing a means to control the performances. This study shows the influence of the number of satel- lites as well as the importance of the mode of selection of the primary satellites. The figures obtained are checked against observed values, showing the validity of the de- termined bounds and the consistency of the asymptotic values, although they lack accuracy when the number of satellites is low.
Published in:	Proceedings of the 9th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1996) September 17 - 20, 1996 Kansas City, MO
Pages:	925 - 934
Cite this article:	Macabiau, Christophe, Benhallam, Abdelahad, "Analysis of the Error Probability and Stopping Time of the MAPAS Procedure," Proceedings of the 9th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1996), Kansas City, MO, September 1996, pp. 925-934.
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