Paper Title:
The Biorthogonality Property of the Multidimensional Wavelet Packets with Multi-Scale Factor
  Abstract

In this article, we introduce a sort of vector-valued wavelet packets with multi-scale dilation of space , which are generalizations of multivariaale wavelet packets. A method for designing a sort of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality property is characterized by virtue of time-frequency analysis method, matrix theory, and operator theory. Three biorthogonality formulas regarding these wavelet packets are established. Furtherore, it is shown how to obtain new Riesz bases of space from these wavelet packets.

  Info
Periodical
Key Engineering Materials (Volumes 439-440)
Edited by
Yanwen Wu
Pages
1093-1098
DOI
10.4028/www.scientific.net/KEM.439-440.1093
Citation
J. F. Zhou, P. A. Wang, "The Biorthogonality Property of the Multidimensional Wavelet Packets with Multi-Scale Factor", Key Engineering Materials, Vols. 439-440, pp. 1093-1098, 2010
Online since
June 2010
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