Paper Title:
The Properties of a Sort of Multidimensional Wavelet Packets According to an Integer-Valued Dilation Matrix
  Abstract

Wavelet analysis has become a popular subject in scientific research in the past twenty years. In this work, we develop the concept of a class of vector-valued multivarition matrix. A new method for constructing multidimensional vector-valued wavelet packets is formulated. Their characteristics are researched by means of operator theory, time-frequency analysis method and matrix theory. There orthogonality formulas regarding the wavelet packets are provided. Orthogonality decomposition relation formulas of the space L2(Rs)r are obtained by constructing a series of subspaces of the vector-valued wavelet packet. Furthermore, several orthonormal wavelet packet bases of space L2(Rs)r are constructed from the wavelet packets.

  Info
Periodical
Advanced Materials Research (Volumes 108-111)
Edited by
Yanwen Wu
Pages
1021-1026
DOI
10.4028/www.scientific.net/AMR.108-111.1021
Citation
B. M. Qiao, X. J. Qiao, "The Properties of a Sort of Multidimensional Wavelet Packets According to an Integer-Valued Dilation Matrix", Advanced Materials Research, Vols. 108-111, pp. 1021-1026, 2010
Online since
May 2010
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$32.00
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