一种适合变形监测的单频单历元算法

基于吉洪诺夫正则化理论，研究了一种适合变形监测的单频单历元算法。首先，分析了单频单历元相位双差观测方程法矩阵的特性；然后，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，可以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。最后，通过一个3 km长的基线算例说明该算法的有效性和实用性。

A Single Epoch Algorithm for Deformation Monitoring Using Single Frequency GPS Receivers

Based on Tikhonov regularization, a new single epoch algorithm suitable for deformation monitoring using single frequency GPS receivers is proposed.Firstly, the characteristic of the normal matrix for double difference carrier phase measurements is analyzed.Then, Tikhonov regularizer is used to transform the normal matrix from rank-deficient to the full rank to obtain float ambiguity solutions and their mean squared error matrix (MSEM), which is then used to accurately fix the ambiguities in combination with LAMBDA method so as to find the single epoch solution of the baseline.Finally, the effective and practicability of the proposed algorithm is demonstrated by a case of an over 3 km long baseline.