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

Jin Cang Han; Yang Li

doi:10.4028/www.scientific.net/KEM.439-440.1141

Paper Titles

The Research of Bivariate Pseudoframes of Subspace Based on a Pyramid Decomposition Scheme
p.1117

A Novel Approach for Constructing a Class of Orthogon Vector-Valued Wavelets with Finite Support
p.1123

The Research of Multiple Subspace Pseudoframes with Integer Translation
p.1129

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

HomeKey Engineering MaterialsKey Engineering Materials Vols. 439-440Specific Properties of a King of Trivariable...

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

Abstract:

In the work, the concept of orthogonal vector-valued trivariate wavelet packets, which is a generalization of uniwavelet packets, is introduced. A new method for constructing them is developed, and their characteristics is discussed by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas are established.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Key Engineering Materials (Volumes 439-440)

Pages:

1141-1146

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.439-440.1141

Citation:

Cite this paper

Online since:

June 2010

Authors:

Jin Cang Han, Yang Li

Keywords:

Matrix Theory, Orthogonal, Orthogonality Formula, Time-Frequency Analysis Method, Trivariate, Vector-Valued Wavelet Packet

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] N. Zhang, X. Wu, Lossless of color masaic images,. IEEE Trans Image Delivery, 2006, 15(6), pp.1379-1388.

Google Scholar

[2] S. Efromovich, J. lakey, M. Pereyia, N. Tymes, Data-Diven and Optimal Denoising of a Signal and Recovery of its Derivation Using Multiwavelets, IEEE Trans Signal Processing, 2004, 52(3), pp.628-635.

DOI: 10.1109/tsp.2003.822355

Google Scholar

[3] Z. Shen Nontensor product wavelet packets inL2(Rs)[J]. SIAM Math Anal. 1995, 26(4): 1061-1074.

DOI: 10.1137/s0036141093243642

Google Scholar

[4] X. G. Xia, B. W. Suter, Vector-valued wavelets and vector filter banks, IEEE Trans Signal Processing, 1996, 44(3), pp.508-518.

DOI: 10.1109/78.489024

Google Scholar

[5] Q. Chen, Z. Cheng, "A study on compactly supported orthogonal vector-valued wavelets and wavelet packets, Chaos, Solitons & Fractals, 2007, 31(4), pp.1024-1034.

DOI: 10.1016/j.chaos.2006.03.097

Google Scholar

[6] X.G. Xia, J.S. Geronimo, D.P. Hardin and B.W. Suter, Design of prefilters for discrete multiwavelet transforms [J]. IEEE Trans. Signal Processing, 44(1996): 25-35.

DOI: 10.1109/78.482009

Google Scholar

[7] C. K. Chui, J. Lian, A study of orthonormal multiwavelets,. Appli Numer Math, 1996, 20(1), pp.273-298.

Google Scholar

[8] S. Yang. Z. Cheng H. Wang, Construction of biorthogonal multiwavelets, Math Anal Appl, 2002, 276(1), pp.1-12.

Google Scholar