基于TIKHONOV正则化的短基线单历元模糊度解算方法研究

ON SINGLE EOPCH AMBIGUITY RESOLUTION OF SHORT BASELINE BASED ON TIKHONOV REGULARIZATION

为提高单历元双频观测数据解算整周模糊度固定成功率采用了两项措施:1)在单历元法方程病态、最小二乘浮点解不可信的情况下,采用TIKHONOV正则化矩阵改善法方程的病态性,从而使模糊度浮点解可信度提高;2)在改善后的法方程中再使用LAMBDA方法搜索,同时引入TEC总量变化值对其固定的模糊度准确性进行检验。算例表明,新方法提高了模糊度浮点解的可靠性及整周模糊度固定的成功率。

In GPS short baseline deformation monitoring, the coefficient of single epoch normal equation appears to be ill conditioned regularly, which causes the phase ambiguity of LS solutions inaccurate and the final resuits are of lower accuracy even distorted. To improve the successful rate of single epoch fixed ambiguity of dualfrequency observation, this contribution adopts two following measures. 1 ） Under the conditions that the single epoch normal matrix is ill-condition and LS float solution is undependable, using TIKHONOV regularization matrix to improve the ill-condition of the normal matrix, thereby leading the fidelity of float solution to be improved ; 2） By using LAMBDA search method based on the improved normal equations, total TEC changes are introduced to check its accuracy. The experiment shows that the new method can significantly improve the fidelity of float solution and increase the successful rate of the fixed ambiguity.