Time-Space Multiscale Analysis by Use of Tensor Product Wavelets and its Application to Hydrology and GRACE Data
- This paper presents a wavelet analysis of temporal and spatial variations of the Earth's gravitational potential based on tensor product wavelets. The time--space wavelet concept is realized by combining Legendre wavelets for the time domain and spherical wavelets for the space domain. In consequence, a multiresolution analysis for both, temporal and spatial resolution, is formulated within a unified concept. The method is then numerically realized by using first synthetically generated data and, finally, several real data sets.
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| Author: | Helga Nutz, Kerstin Wolf |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-15141 |
| Series (Serial Number): | Schriften zur Funktionalanalysis und Geomathematik (36) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 2007 |
| Year of first Publication: | 2007 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2008/01/11 |
| Tag: | Legendre Wavelets; Multiresolution Analysis; Spherical Wavelets; Time-Space Multiresolution Analysis |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |