Paper Title:
The Description of Two-Direction Biorthogonal Finitely Supported Wavelet Packets with Poly-Scale Dilation
  Abstract

Wavelet analysis has become a popular subject in scientific research during the past twenty years. In this paper, the notion of biorthogonal two-direction compactly supported wavelet packets with poly-scale is developed. A new method for designing two-direction biorthogonal wavelet packets is proposed and their properties is investigated by algebra theory, means of time-frequency analysis methodand, operator theory. The direct decomposition relationship is provided. Finally, new Riesz bases of space are constructed from these wavelet packets. Three biorthogonality formulas regarding these wavelet packets are derived.

  Info
Periodical
Key Engineering Materials (Volumes 439-440)
Edited by
Yanwen Wu
Pages
1171-1176
DOI
10.4028/www.scientific.net/KEM.439-440.1171
Citation
S. D. Du, D. Y. Yuan, "The Description of Two-Direction Biorthogonal Finitely Supported Wavelet Packets with Poly-Scale Dilation ", Key Engineering Materials, Vols. 439-440, pp. 1171-1176, 2010
Online since
June 2010
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Price
$32.00
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