一种考虑随机模型精化的单频单历元算法  

A Single Epoch Algorithm for Deformation Monitoring with a Refined Stochastic Model using Single Frequency GPS Receivers

作　　者：王振杰[1] 王心众[1] 范士杰[1] 赵健[1] 

机构地区：[1]中国石油大学(华东)地球资源与信息学院,山东青岛266555

出　　处：《全球定位系统》2011年第5期1-5,共5页Gnss World of China

基　　金：国家自然科学基金(编号:40974004);中央高校基本科研业务费专项资金资助(编号:09CX05006A)

摘　　要：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。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.

关 键 词：GPS 变形监测 单频单历元算法 随机模型精化 

分 类 号：P228.4[天文地球—大地测量学与测量工程]