BDS总体最小二乘整周模糊度解算方法

Method of BDS total least squares integer ambiguity resolution

针对基于经典最小二乘的方法在BDS整周模糊度解算中只考虑观测向量误差而忽略了系数矩阵的误差的问题,研究一种模糊度快速解算的改进LAMBDA算法:利用总体最小二乘法改进LAMBDA算法搜索并确定双差整周模糊度。通过对LAMBDA算法和改进LAMBDA算法2种算法的数据处理结果进行统计分析,得出结论:总体最小二乘法能够显著减少BDS整周模糊度固定所需的时间,提高整周模糊度固定的成功率。

Aiming at the problem that the method based on classical least squares considers only the error of the observation vectors while ignoring that of the coefficient matrix in the solution of BDS integer ambiguity,the paper proposed an improved LAMBDA algorithm with rapid ambiguity resolution:the total least squares method was used to improve the serarch of LAMBDA algorithm and determine the double difference integer ambiguity.Finally,the comparative analysis between LAMBDA algorithm and the improved LAMBDA algorithm indicated that the total least squares method could significantly reduce the required fixing time of BDS integer ambiguity,so as to increase the success rate of fixing integer ambiguity.