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Spherical Tikhonov regularization wavelets in satellite gravity gradiometry with random noise

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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.

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Authors and Affiliations

  1. University of Kaiserslautern, Geomathematics Group, D-67653 Kaiserslautern, Germany e-mail: freeden@mathematik.uni-kl.de, , , , , , DE

    W. Freeden

  2. Kiev Institute of Mathematics, Tereshenkivska 3, 252601 Kiev 4, Ukraine e-mail: serg-p@mail.kar.net, , , , , , UA

    S. Pereverzev

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  1. W. Freeden
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  2. S. Pereverzev
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Received: 23 March 2000 / Accepted: 20 September 2000

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Freeden, W., Pereverzev, S. Spherical Tikhonov regularization wavelets in satellite gravity gradiometry with random noise. Journal of Geodesy 74, 730–736 (2001). https://doi.org/10.1007/s001900000141

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  • DOI: https://doi.org/10.1007/s001900000141

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