Paper Title:
The Excellent Traits of a Class of Orthogonal Quarternary Wavelet Wraps with Short Support
  Abstract

The frame theory has been one of powerful tools for researching into wavelets. In this article, the notion of orthogonal nonseparable quarternary wavelet wraps, which is the generalizati- -on of orthogonal univariate wavelet wraps, is presented. A novel approach for constructing them is presented by iteration method and functional analysis method. A liable approach for constructing two-directional orthogonal wavelet wraps is developed. The orthogonality property of quarternary wavelet wraps is discussed. Three orthogonality formulas concerning these wavelet wraps are estabished. A constructive method for affine frames of L2(R4) is proposed. The sufficient condition for the existence of a class of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is established based on such a generalized multiresolution structure.

  Info
Periodical
Advanced Materials Research (Volumes 219-220)
Edited by
Helen Zhang, Gang Shen and David Jin
Pages
496-499
DOI
10.4028/www.scientific.net/AMR.219-220.496
Citation
G. X. Wang, D. L. Hua, "The Excellent Traits of a Class of Orthogonal Quarternary Wavelet Wraps with Short Support", Advanced Materials Research, Vols. 219-220, pp. 496-499, 2011
Online since
March 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Qing Jiang Chen, Yu Ying Wang
Abstract:Wavelet analysis has become a popular subject in scientific research during the past twenty years. In this work, we introduce the notion of...
896
Authors: Jin Cang Han, Yang Li
Abstract:The notion of matrix-valued multiresolution analysis. A procedure for designing orthogonal matrix-valued univariate wavelet packets is...
1147
Authors: Jian Tang Zhao, Jie Li
Abstract:In this paper, the notion of orthogonal vector-valued bivariate wavelet packets, which is a generalization of uni-wavelet packets, is...
1184
Authors: Lan Li
Abstract:In this article, the notion of orthogonal nonseparable four-dimensional wavelet packets which is the generalizaion of orthogonal univariate...
1377
Authors: Can Yang Hu, Qing Jun Chen, Qing Yang Xu
Chapter 11: Natural and Technogenic Disasters Prevention and Mitigation
Abstract:Simulation of nonstationary processes has become an indispensable tool in study and prevention of natural disasters. A new method of...
3415