Properties and Constructing of a Kind of Four-Dimensional Vector Wavelet Packets According to a Dilation Matrix

Abstract:

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In this paper, we introduce a sort of vector four-dimensional wavelet packets according to a dilation matrix, which are generalizations of univariate wavelet packets. The definition of biortho- gonal vector four-dimensional wavelet packets is provided and their biorthogonality quality is researched by means of time-frequency analysis method, vector subdivision scheme and functional analysis method. Three biorthogonality formulas regarding the wavelet packets are established. Finally, it is shown how to draw new Riesz bases of space from these wavelet packets. The sufficient condition for the existence of four-dimensional wavelet packets is established based on the multiresolution analysis method.

Info:

Periodical:

Key Engineering Materials (Volumes 439-440)

Edited by:

Yanwen Wu

Pages:

920-925

DOI:

10.4028/www.scientific.net/KEM.439-440.920

Citation:

Y. M. Yu and Y. Q. Zhu, "Properties and Constructing of a Kind of Four-Dimensional Vector Wavelet Packets According to a Dilation Matrix", Key Engineering Materials, Vols. 439-440, pp. 920-925, 2010

Online since:

June 2010

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Price:

$35.00

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