The Properties of a Class of Higher-Dimensional Composite Wavelet Packet Bases

Hong Wu Li; Dong Liao

doi:10.4028/www.scientific.net/KEM.439-440.1099

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 439-440The Properties of a Class of Higher-Dimensional...

The Properties of a Class of Higher-Dimensional Composite Wavelet Packet Bases

Abstract:

In this paper, we introduce a class of vector-valuedwavelet packets of space , which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method and operator theory. Three biorthogonality formulas regarding these wavelet packets are derived. Moreover, it is shown how to gain new Riesz bases of space from these wavelet packets. obtained.

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Periodical:

Key Engineering Materials (Volumes 439-440)

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1099-1104

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.439-440.1099

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Online since:

June 2010

Authors:

Hong Wu Li, Dong Liao

Keywords:

Bivariate, Finite Group Theory, Orthogonal, Orthonormal Wavelet Packet Base, Vector-Valued Scaling Function, Vector-Valued Wavelet Packet

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