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REGULARIZATION COMBINED WITH ROUST ESTIMATION AND ITS APPLICATION FOR GPS RAPID POSITIONING
GPS快速定位中病态问题的正则化抗差解法

Keywords: GPS rapid positioning,Tikhonov regularization method,ill-posed problem,robust estimator,regularized robust estimator
GPS快速定位
,Tikhonov正则化方法,不适定性问题,抗差估计,正则化抗差估计

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Abstract:

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.

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