Spherical Tikhonov regularization wavelets in satellite gravity gradiometry with random noise

Authors
Freeden, W Pereverzev, S
Citation
W. Freeden et S. Pereverzev, Spherical Tikhonov regularization wavelets in satellite gravity gradiometry with random noise, J GEODESY, 74(10), 2001, pp. 730-736
Citations number
28
Categorie Soggetti
Earth Sciences
Journal title
JOURNAL OF GEODESY
ISSN journal
09497714 → ACNP
Volume
74
Issue
10
Year of publication
2001
Pages
730 - 736
Database
ISI
SICI code
0949-7714(200102)74:10<730:STRWIS>2.0.ZU;2-E
Abstract
A special class of regularization methods for satellite gravity gradiometry based on Tikhonov spherical regularization wavelets is considered, with pa rticular emphasis on the case of data blurred by random noise. A convergenc e rate is proved for the regularized solution, and a method is discussed fo r choosing the regularization level a posteriori from the gradiometer data.