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# 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:

Main Theme:

Edited by:

Yanwen Wu

Pages:

1147-1152

DOI:

10.4028/www.scientific.net/KEM.439-440.1147

Citation:

J. C. Han and 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

Authors:

Price:

$35.00

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