一种考虑随机模型精化的单频单历元算法

摘要

A new single epoch algorithm for deformation monitoring with a refined stochastic model using single frequency GPS receivers is proposed in this paper.At first,the characteristic of the normal matrix for carrier phase measurements is analyzed.Then,based on Tikhonov regularization,a regularizer is chosen to transform the normal matrix from the rank-deficient to the full rank.The float ambiguity solutions and their Mean Squared Error Matrix（MSEM） are obtained.MSEM can be used to determine the search space for the integer ambiguities,combined with LAMBDA.The computation formula of real-time weight are deprived instead of the fixed one to improve the success of resolving the integer ambiguities.At last,the proposed single epoch algorithm is tested using carrier phase measurements of two single frequency GPS receivers with a baseline over 3 km.%研究了一种适合变形监测的考虑随机模型精化的单频单历元算法。分析了单频单历元相位双差观测方程法矩阵的特性;基于吉洪诺夫正则化方法,将秩亏的法方程由秩亏变为满秩,得到模糊度的浮动解及其相应的均方误差矩阵,结合LAMBDA方法可准确地固定模糊度,得到基线向量的单历元解;给出了实时权的计算公式,用实时权代替固定权,提高了解算模糊度的成功率。通过一个3km长的基线算例说明算法的效果。