Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
The 38th ISCIE International Symposium on Stochastic Systems Theory and Its Applications (Nov. 2006, Suwa, Nagano)
Estimation and Validation of Integer Ambiguity in Carrier Phase GPS Positioning
Yukihiro KuboSeigo FujitaSueo Sugimoto
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2007 Volume 2007 Pages 180-185

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Abstract
This paper proposes an integer ambiguity estimation and validation method in carrier phase differential GPS/GNSS positioning in order to attain continuous precise positioning. Firstly the mathematical models of the GPS carrier phase measurement and the method of the existing positioning algorithm are briefly reviewed especially by focusing on the integer ambiguity estimation. For the estimation, in this paper, the Kalman filter and the LAMBDA (Leastsquares AMBiguity Decorrelation Adjustment) method are applied, and the candidates of the integer ambiguity are obtained. Then the sequential probability ratio test is applied to select, with a given probability, the most likely integer ambiguity. Also results of the experiment by using real receiver data are shown.
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© 2007 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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