Characters of Two-Directional Compactly Supported Bivariate Wavelet Packets

Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this article, the notion of biorthogonal two-direction compactly supported bivariate wavelet packets with polyscale is developed. Their properties is inves...

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Bibliographic Details
Published in:Key engineering materials 2010-01, Vol.439-440, p.914-919
Main Authors: Du, Shu De, Sheng, Zong Sheng
Format: Article
Language:English
Subjects:
Algebra
Computation
Construction
Decomposition
Operators
Time-frequency analysis
Wavelet
Wavelet analysis
Citations: Items that this one cites
Online Access:Get full text
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Summary:Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this article, the notion of biorthogonal two-direction compactly supported bivariate wavelet packets with polyscale is developed. Their properties is investigated by algebra theory, means of time-frequency analysis methodand, operator theory. The direct decomposition relationship is provided. In the final, new Riesz bases of space are constructed from these wavelet packets. Three biorthogonality formulas regarding these wavelet packets are established.
ISSN:1013-9826
1662-9795
1662-9795
DOI:10.4028/www.scientific.net/KEM.439-440.914