针对单频GPS动态定位中常用模糊度求解方法存在的问题,提出一种整周模糊度快速解算方法。首先通过对双差观测方程中坐标参数的系数阵进行QR分解变换以消除坐标参数,从而仅对模糊度参数建立Kalman滤波方程进行估计,然后利用排序和双Cholesky分解对滤波得到的模糊度进行降相关处理,并结合收缩模糊度搜索空间的思想来搜索固定整周模糊度。以实测的动态数据为例对该方法进行测试。分析结果表明,该方法不但可以改善模糊度浮点解精度,而且具有良好的模糊度降相关效果,可正确有效地实现整周模糊度的快速解算。
Aiming at the problem in the conventional ambiguity algorithm of single frequency GPS kinematical positioning,a new algorithm for rapid integer ambiguity resolution is proposed.In the algorithm,QR decomposition transform of the coordinate coefficient matrix is 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 are used for the decorrelation of the filtered ambiguities and the ambiguities are 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.