GPS快速定位中病态问题的正则化抗差解法

REGULARIZATION COMBINED WITH ROUST ESTIMATION AND ITS APPLICATION FOR GPS RAPID POSITIONING

针对GPS快速定位中因观测信息不足造成的法矩阵病态和观测量含粗差的问题,利用抗差M估计思想,提出一种新的抗差估计——正则化抗差估计。这种方法可以用于解决大地测量中的不适定性问题。通过计算表明,该方法具有抗粗差能力强、精度高和稳定性好的特点。

In order to solve the problems of the normal equation being ill - conditioned and observations containing outliers in GPS rapid positioning, a new robust estimate-regularized robust estimate based on the idea of robust M-estimation is proposed. Under this method can solve the robust estimation of ill-posed problems in geodesy. The computation results of GPS data show that the new estimator has the characteristics of resisting outliers, high precision and good stability.