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

Yu Min Yu; Yu Qing Zhu

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

Paper Titles

The Properties of Multidimensional Semi-Orthogonal Frame Wavelet Packets
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The Decription of a Sort of Two-Directional Biorthogonal Trivariate Wavelet Packets with Finite Support
p.902

An Efficient Blind Image Deblurring Algorithm
p.908

Characters of Two-Directional Compactly Supported Bivariate Wavelet Packets
p.914

Properties and Constructing of a Kind of Four-Dimensional Vector Wavelet Packets According to a Dilation Matrix
p.920

The Characteristics of Affine Bivariate Pseudoframes of Subspace Associated with a Bivariate Filter Functions
p.926

The Characterization of a Kind of Vector-Valued Multivariate Wavelet Packets with Composite Dilation Matrix
p.932

Existence and Designment of Filter Banks of Biorthogonal Vector-Valued Wavelets with Three-Scale Constant Factor
p.938

The Properties of Orthogonal Nonseparable Four-Dimensional Wavelet Packets
p.944

HomeKey Engineering MaterialsKey Engineering Materials Vols. 439-440Properties and Constructing of a Kind of...

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

Abstract:

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.

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Periodical:

Key Engineering Materials (Volumes 439-440)

Pages:

920-925

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.439-440.920

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Online since:

June 2010

Authors:

Yu Min Yu, Yu Qing Zhu

Keywords:

Biorthogonality Formula, Filter Bank, Four-Dimensional, Refinement Equation, Riesz Base, Vector Scaling Function, Vector Subdivision Scheme, Vector Wavelet Packets

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