利用LEO卫星的最小误差矢量合成定位算法

Minimum error vector synthetic positioning algorithm using LEO satellites

针对利用低地球轨道(LEO)卫星信号进行多普勒定位时,由于缺乏定位误差矢量相关研究而使定位精度较差的问题,对多普勒定位误差矢量特性进行系统性的分析并提出一种最小定位误差矢量合成优化算法:以初始定位结果为中心划定区域网格,计算依次去除各颗卫星后定位误差向量在该卫星速度方向上的投影误差模之和;遍历所有网格,搜索投影误差模之和最大的位置网格作为优化的定位结果。实验结果表明:提出的算法的定位结果误差均值与均方根误差(RMSE)均有减小,其三维定位精度可提升40%以上。

Aiming at the problem of the poor positioning accuracy due to lack of research on positioning error vector when Doppler positioning is carried out by using low Earth orbit(LEO)satellite signal,the paper systematically analyzed the characteristics of Doppler positioning error vector,and proposed a minimum positioning error vector synthesis optimization algorithm:the initial positioning result was taken as the center to delimit the regional grid,and the sum of the projection error modules of the positioning error vector in the speed direction of the satellite was calculated after removing each satellite in turn;then all grids were traversed,and the location grids with the largest sum of the projection error modules were searched as the optimized positioning result.Experimental results showed that the mean error and root mean square error(RMSE)of the positioning results of the proposed algorithm would be both reduced,and its three-dimensional positioning accuracy could be improved by more than 40%.