关键词: 整周模糊度, QR分解, Kalman滤波, 排序, 双Cholesky分解

Abstract: Aiming at the problem in the conventional ambiguity algorithm of single frequency GPS kinematical positioning. a new algorithm for rapid integer ambiguity resolution was proposed in this paper. In the algorithm, QR decomposition transform of the coordinate coefficient matrix was adopted to eliminate the coordinate parameters in the double difference observation equation, thereby the Kalman Filter equations can be established to estimate only the ambiguity parameters. Then ordering process and double Cholesky decomposition were used for the decorrelation of the filtered ambiguities and the ambiguities were fixed by using the shrinking ambiguity search space strategy. Based on the experimental data for testing the algorithm, the analysis results show that the proposed algorithm can not only improve the accuracy of ambiguity float solution, but also has a good ambiguity decorrelation capability, and it can achieve rapid integer ambiguity resolution correctly and effectively.

Key words: integer ambiguity, QR decomposition, Kalman Filter, ordering process, double Cholesky decomposition