一种新的GPS整周模糊度单历元求解算法

针对不存在先验信息时常规GPS单历元数据处理中存在的问题,提出了一种新的GPS整周模糊度单历元算法。该算法先采用一个历元的码观测值进行最小二乘定位,求取初始模糊度,并根据解的中误差来构造模糊度原始搜索空间,再采用两种不同线性组合的扩波方法进行模糊度变换,使原模糊度的搜索空间变小。在模糊度的新搜索空间确定后,通过线性组合的逆变换求取模糊度N₁及N₂,并以模糊度函数法进行真值的搜索,实现单历元解算。采用基线长度不同的两组数据测试,结果表明了本文方法的可行性和可靠性。

A New Algorithm for Solving GPS Integer Ambiguity Using Single Epoch Data

Aiming at the problem in the conventional GPS single epoch data processing if no priori information, a new algorithm for solving GPS integer ambiguity using single epoch data was proposed. It used one epoch code observation to calculate initial ambiguity by least square method. The original search space of ambiguity was constructed by using standard deviation of the initial position. The ambiguity transformation by using two different linear combination of expansion wave was carried out to make the original search space of ambiguity smaller. After the new search space of ambiguity was confirmed, ambiguity N₁ and N₂ were solved by means of the inverse linear transformation. Furthermore, ambiguity function method was used for the searching of the true value using single epoch data.Two sets of data with different baseline length was used for analysis and test. The experimental results show that the proposed method was feasible and reliable.