An Algorithm and Characteristics Concerning a Sort of Orthogonal Ternary Matrix-Valued Frame Wavelet Packs

Abstract:

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In this work, the notion of matrix-valued multiresolution analysis of space L2(Rn, Cs) is introduced. A method for constructing orthogonal matrix-valued ternary wavelet packs is developed and their properties are discussed by means of time-frequency analysis method, matrix theory and functional analysis method. Three orthogonality formulas concerning these wavelet packets are provided. Finally, new orthonormal wavelet pack bases of space L2(Rn, Cs) are obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets.

Info:

Periodical:

Advanced Materials Research (Volumes 204-210)

Edited by:

Helen Zhang, Gang Shen and David Jin

Pages:

2225-2228

DOI:

10.4028/www.scientific.net/AMR.204-210.2225

Citation:

H. L. Guo and R. Q. Wang, "An Algorithm and Characteristics Concerning a Sort of Orthogonal Ternary Matrix-Valued Frame Wavelet Packs", Advanced Materials Research, Vols. 204-210, pp. 2225-2228, 2011

Online since:

February 2011

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Price:

$35.00

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