改进的ARCE方法及其在单频 GPS快速定位中的应用

基于TIKHONOV正则化原理，设计了一种正则化矩阵的构造方法，将ARCE(ambiguity resolution using constraint equation)方法进行了改进。通过新的正则化矩阵的作用，减弱了GPS快速定位中少数历元情形下法矩阵的病态性，得到了比较准确的模糊度浮动解，大大减小了模糊度的搜索范围，利用ARCE方法固定模糊度的成功率高。并结合一个算例，验证了本文改进方法的效果。

Improved ARCE and Its Application to Rapid Positioning Using Single Frequency GPS Receivers

ARCE (ambiguity resolution using constraint equation) is a new method for resolving the integer ambiguities based on LSE (least-squares estimate) and null space. In this paper, ARCE is improved for the case that the observation time span is short and there are only a few epoch observations. The normal matrix is badly ill-conditioned in GPS rapid positioning if the observation epochs are fewer, which causes the result of LSE unreliable. In this instance, it is difficult to fix the integer ambiguities correctly using ARCE. On the basis of TIKHONOV regularization theorem, a new regularizer is designed to mitigate the ill-condition of the normal matrix. The accurate float ambiguity solutions are obtained and the search range of the integer ambiguities decreases greatly. Then, the integer ambiguities are fixed for reference of ARCE theorem and the success rate of fixing the integer ambiguities is high.