SINGLE EPOCH ALGORITHM BASED ON TIKHONOV REGULARIZATION FOR DEFORMATION MONITORING USING SINGLE FREQUENCY GPS RECEIVERS
SINGLE EPOCH ALGORITHM BASED ON TIKHONOV REGULARIZATION FOR DEFORMATION MONITORING USING SINGLE FREQUENCY GPS RECEIVERS
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DOI：
10.1179/sre.2006.38.302.682
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发表时间：
2006-10
期刊：
影响因子：
1.6
通讯作者：
Zhenjie Wang;C. Rizos;Samsung Lim
中科院分区：
文献类型：
--
作者：
Zhenjie Wang;C. Rizos;Samsung Lim
摘要 本文提出了一种基于Tikhonov正则化的单频GPS接收机变形监测新的单历元算法。首先分析了载波相位测量的正规矩阵的特性。由于正则矩阵是缺秩的，因此将吉洪诺夫正则化定理应用于最小二乘问题，并选择正则化器将矩阵从缺秩矩阵变换为满秩矩阵。然后，获得浮点模糊度解及其均方误差矩阵（MSEM）。 MSEM 可以与其他整数模糊度修复器（例如 LAMBDA）结合使用来确定整数模糊度的搜索空间。使用基线超过3km的两个单频GPS接收机的载波相位测量对所提出的单历元算法进行测试，结果表明整数模糊度修复的成功率大于90%。
Abstract A new single epoch algorithm for deformation monitoring using single frequency GPS receivers, based on Tikhonov Regularization, is proposed in this paper. At first, the characteristic of the normal matrix for carrier phase measurements is analyzed. Since the normal matrix is rank-deficient, Tikhonov regularization theorem is applied to the least squares problem, and a regulariser is chosen to transform the matrix from the rank-deficient to the full rank. Then, 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 other integer ambiguity fixers such as LAMBDA. The proposed single epoch algorithm is tested using carrier phase measurements of two single frequency GPS receivers with a baseline over 3km and the results show that the success rate of the integer ambiguity fix is greater than 90%.