Time-space multiscale analysis by use of tensor product wavelets and its application to hydrology and GRACE data |
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| Authors: | H Nutz K Wolf |
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| Institution: | (1) Geomathematics Group, Department of Mathematics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany |
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| Abstract: | 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 two real data sets. |
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| Keywords: | multiresolution analysis spherical wavelets Legendre wavelets time-space multiresolution analysis |
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