A Methodology for Reducing the Admissible Hypotheses for GPS Integer Ambiguity Resolution

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

Abstract:	An efficient method for obtaining the admissible integer ambiguity hypotheses within a probabilistic volume is combined with an integer hypothesis testing method to seek reducing the convergence time with high probability to the GPS carrier phase integers. 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 LAMBDA method, has been applied. The reduced admissible hypotheses are tested by the Multiple Hypothesis Wald Sequential Probability Test (MHWSPT) to select the most likely hypothesis. This method considerably reduces the computational time needed by the MHWSPT at each epoch.
Published in:	Proceedings of the 15th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 2002) September 24 - 27, 2002 Oregon Convention Center Portland, OR
Pages:	2788 - 2798
Cite this article:	Abdel-Hafez, M.F., Lee, Y.J., Williamson, W.R., Wolfe, J.D., J.L.Speyer,, "A Methodology for Reducing the Admissible Hypotheses for GPS Integer Ambiguity Resolution," Proceedings of the 15th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 2002), Portland, OR, September 2002, pp. 2788-2798.
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