Paper Title:
The Orthogonality Character of Matrix Univariate Wavelet Packets Concerning an Integer Factor
  Abstract

The notion of matrix-valued multiresolution analysis. A procedure for designing orthogonal matrix-valued univariate wavelet packets is presented and their orthogonality properties are discussed by means of time-frequency analysis method, matrix theory and functional analysis method. Three orthogonality formulas concerning these wavelet packets are obtained. Finally, one new orthonormal basis of are obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets.

  Info
Periodical
Key Engineering Materials (Volumes 439-440)
Edited by
Yanwen Wu
Pages
1147-1152
DOI
10.4028/www.scientific.net/KEM.439-440.1147
Citation
J. C. Han, Y. Li, "The Orthogonality Character of Matrix Univariate Wavelet Packets Concerning an Integer Factor ", Key Engineering Materials, Vols. 439-440, pp. 1147-1152, 2010
Online since
June 2010
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