The Characterization of a Kind of Vector-Valued Multivariate Wavelet Packets with Composite Dilation Matrix

Abstract:

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In this article, the notion of a kind of multivariate vector-valued wavelet packets with composite dilation matrix is introduced. A new method for designing a kind of biorthogonal vector- valued wavelet packets in higher dimensions is developed and their biorthogonality property is inv- -estigated by virtue of matrix theory, time-frequency analysis method, and operator theory. Two biorthogonality formulas concerning these wavelet packets are presented. Moreover, it is shown how to gain new Riesz bases of space by constructing a series of subspace of wavelet packets.

Info:

Periodical:

Key Engineering Materials (Volumes 439-440)

Edited by:

Yanwen Wu

Pages:

932-937

DOI:

10.4028/www.scientific.net/KEM.439-440.932

Citation:

Y. H. Xia and H. Li, "The Characterization of a Kind of Vector-Valued Multivariate Wavelet Packets with Composite Dilation Matrix", Key Engineering Materials, Vols. 439-440, pp. 932-937, 2010

Online since:

June 2010

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Price:

$35.00

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