Paper Title:
The Properties of a Class of Higher-Dimensional Composite Wavelet Packet Bases
  Abstract

In this paper, we introduce a class of vector-valuedwavelet packets of space , which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method and operator theory. Three biorthogonality formulas regarding these wavelet packets are derived. Moreover, it is shown how to gain new Riesz bases of space from these wavelet packets. obtained.

  Info
Periodical
Key Engineering Materials (Volumes 439-440)
Edited by
Yanwen Wu
Pages
1099-1104
DOI
10.4028/www.scientific.net/KEM.439-440.1099
Citation
H. W. Li, D. Liao, "The Properties of a Class of Higher-Dimensional Composite Wavelet Packet Bases", Key Engineering Materials, Vols. 439-440, pp. 1099-1104, 2010
Online since
June 2010
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Price
$32.00
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