镜像映射法及递推最小二乘法在GPS伪距导航定位解算中的应用

Study of application of householder transformation and recursive method of minimum square in resolving pseudo-distance navigation and position of GPS

为提高全球定位系统 (GPS)中伪距导航定位解算的精度和改善对动态目标的实时跟踪 ,提出了一种新方法 ,采用镜像映射法解具有病态的矛盾方程组以提高精度 ,以及将伪距导航定位解算方程模型转换为具有贯序输入输出数据的系统辩识模型 ,然后用递推最小二乘法 ,对所求的GPS伪距导航定位信息──接收机的三维位置参数和时钟误差参数进行动态快速实时估计。

A new method for improving the accuracy of the pseudo-distance navigation and the real-time traceability to the dynamic object is presented. The method is using Householder transformation to solve inconsistent equation for the improvement of the accuracy, converting the equation of the pseudo-distance navigation into the system identification model which has sequential input-output data and then using recursive method of minimum square to estimate the pseudo-distance navigation information-three-dimensional positional parameters and timing clock error parameter for GPS navigation and positioning in a fast, dynamics and real-time way.