TY - RPRT
A1 - Mayer, Carsten
T1 - Wavelet Modelling of the Spherical Inverse Source Problem with Application to Geomagnetism
N2 - The article is concerned with the modelling of ionospheric current systems from induced magnetic fields measured by satellites in a multiscale framework. Scaling functions and wavelets are used to realize a multiscale analysis of the function spaces under consideration and to establish a multiscale regularization procedure for the inversion of the considered vectorial operator equation. Based on the knowledge of the singular system a regularization technique in terms of certain product kernels and corresponding convolutions can be formed. In order to reconstruct ionospheric current systems from satellite magnetic field data, an inversion of the Biot-Savart's law in terms of multiscale regularization is derived. The corresponding operator is formulated and the singular values are calculated. The method is tested on real magnetic field data of the satellite CHAMP and the proposed satellite mission SWARM.
T3 - Schriften zur Funktionalanalysis und Geomathematik - 5
KW - Wavelet
KW - Inverses Problem
KW - Regularisierung
KW - Vektorkugelfunktionen
KW - Vektorwavelets
KW - Biot-Savart Operator
KW - vector spherical harmonics
KW - vectorial wavelets
KW - Biot-Savart operator
Y1 - 2004
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1468
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-12815
ER -