Spherical Tikhonov regularization wavelets in satellite gravity gradiometry with random noise

被引：14
|
作者：
Freeden, W [1 ]
Pereverzev, S
机构：
[1] Univ Kaiserslautern, Geomath Grp, D-67653 Kaiserslautern, Germany
[2] Kiev Inst Math, UA-252601 Kiev 4, Ukraine
来源：
JOURNAL OF GEODESY | 2001年 / 74卷 / 10期
关键词：
ill-posed problem; regularization; wavelets; random noise; rate of convergence; satellite gravity gradiometry;
D O I：
10.1007/s001900000141
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
A special class of regularization methods for satellite gravity gradiometry based on Tikhonov spherical regularization wavelets is considered, with particular emphasis on the case of data blurred by random noise. A convergence rate is proved for the regularized solution, and a method is discussed for choosing the regularization level a posteriori from the gradiometer data.
引用
收藏
页码：730 / 736
页数：7
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