Spherical Tikhonov regularization wavelets in satellite gravity gradiometry with random noise |
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| Authors: | W Freeden S Pereverzev |
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| Institution: | (1) University of Kaiserslautern, Geomathematics Group, D-67653 Kaiserslautern, Germany e-mail: freeden@mathematik.uni-kl.de, DE;(2) Kiev Institute of Mathematics, Tereshenkivska 3, 252601 Kiev 4, Ukraine e-mail: serg-p@mail.kar.net, UA |
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| Abstract: | 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.
Received: 23 March 2000 / Accepted: 20 September 2000 |
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| Keywords: | : Ill-posed problem Regularization wavelets Random noise Rate of convergence Satellite gravity gradiometry |
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