Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Regular Papers
Rapidly Decaying Harmonic Wavelet Expansion
Tohru MORITA
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2008 年 14 巻 1 号 p. 89-101

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Among orthogonal wavelets, Shannon’s wavelets are very simple but have the demerit that they are not well localized and decay slowly. Meyer’s wavelets, which are obtained by modifying Shannon’s wavelets, decay fast. For the general harmonic wavelets defined in a finite interval of time, an orthogonal system of rapidly decaying harmonic wavelets is constructed, and the wavelet expansion in terms of them is formulated.
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© 2008 by the Graduate School of Information Sciences (GSIS), Tohoku University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/
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