A Study on Characteristics of Biorthogonal Two-Dimensional Wavelet Packets

De Yao Song; Xiao Feng Wang

doi:10.4028/www.scientific.net/KEM.439-440.1159

Paper Titles

The Characterization of a Pair of Canonical Frames Generated by Several Compactly Supported Functions
p.1135

Specific Properties of a King of Trivariable Wavelet Packets with Respect to an Integer-Valued Dilation Matrix
p.1141

The Orthogonality Character of Matrix Univariate Wavelet Packets Concerning an Integer Factor
p.1147

Statistical Properties of the Unsymmetrical P-Norm Distribution
p.1153

A Study on Characteristics of Biorthogonal Two-Dimensional Wavelet Packets
p.1159

A Study of Matrix-Valued Trivariate Wavelet Packets Associated with an Orthogonal Matrix-Valued Trivariate Scaling Function
p.1165

The Description of Two-Direction Biorthogonal Finitely Supported Wavelet Packets with Poly-Scale Dilation
p.1171

The Scheduling Algorithm of Grid Task Based on Cloud Model
p.1177

The Nice Feature of Orthogonal Vector-Valued Bivariate Wavelet Packets with Arbitrary Integer Dilation Factor
p.1184

HomeKey Engineering MaterialsKey Engineering Materials Vols. 439-440A Study on Characteristics of Biorthogonal...

A Study on Characteristics of Biorthogonal Two-Dimensional Wavelet Packets

Abstract:

Wavelet analysis is a popular subject in science research. The notion of univariate orthog- onal wavelet packets is generalized. The definition of biorthogonal nonseparable two-dimensional wavelet packets is presented and a procedure for constructing them is proposed. The biorthogonality property of bivariate wavelet packets is investigated. Two biorthogonality formulas regarding these wavelet packets are established.

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Key Engineering Materials (Volumes 439-440)

Pages:

1159-1164

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.439-440.1159

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Online since:

June 2010

Authors:

De Yao Song, Xiao Feng Wang

Keywords:

Biorthogonal, Composite, Dilation Factor, Interpolating Scaling Function, Nonseparable, Refinement Equation, Two-Dimensional, Wavelet Packet (WP)

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