A High-Integrity and Efficient GPS Integer Ambiguity Resolution Method

M. F. Abdel-Hafez, Y. J. Lee, W. R. Williamson, J. D. Wolfe, and J. L. Speyer

Peer Reviewed

Abstract: An efficient method for obtaining the admissible integer ambiguity hypotheses within a probabilistic volume is combined with an integer hypothesis testing method to reduce the convergence time to the GPS carrier-phase integers with high probability. The baseline coordinates, float ambiguities, and their covariance matrices are first estimated using a Kalman filter.To reduce the hypothesis set, the covariance matrix decorrelation method, which is the major contribution of the least-squares ambiguity decorrelation adjustment (LAMBDA) method, is then applied. The reduced admissible hypotheses are tested by the multiple-hypothesis Wald sequential probability test (MHWSPT) to select, with a given probability, the most likely hypothesis. This method considerably reduces the computational time needed to solve the integer ambiguity resolution problem at each epoch.
Published in: NAVIGATION: Journal of the Institute of Navigation, Volume 50, Number 4
Pages: 295 - 310
Cite this article: Abdel-Hafez, M. F., Lee, Y. J., Williamson, W. R., Wolfe, J. D., Speyer, J. L., "A High-Integrity and Efficient GPS Integer Ambiguity Resolution Method", NAVIGATION: Journal of The Institute of Navigation, Vol. 50, No. 4, Winter 2003-2004, pp. 295-310.
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