GPS测码伪距绝对定位的几种算法

The algorithms for absolute GPS positioning with code pseudorange

GPS定位方程是非线性的,一般处理方法是按泰勒级数展开取至一次项进行线性化,再利用最小二乘原理求解,如果所取观测站坐标的初始值具有较大的偏差,略去二次微小量的模型误差,对解算结果将产生不能忽略的影响。本文研究分析了GPS测码伪距绝对定位的传统算法,并提出了一种通过求差法将GPS绝对定位的非线性观测方程转化成线性方程直接求解测站坐标的新算法,通过实例计算表明该方法计算简单,不需要测站的初始坐标信息,不需要求导计算和迭代计算,对于提高GPS测码伪距单点定位的解算速度和精度具有重要的意义。

The observation equations of GPS positioning is nonlinear.These equations are usually solved by Taylor series expansion and least-squares method.The deviation of the initial estimate will greatly affect the adjustment results.The common algorithms for absolute GPS positioning are analyzed in this paper.A new algorithm is put forward which can be used to transform nonlinear equations to linear equations by differentiating.An example demonstrates the effectiveness of the new method.