Paper Title:
The Characterization of Biorthogonal Multidimensional Vector Wavelet Wraps with Nine-Scale Dilation Factor
  Abstract

Wavelet analysis is nowadays a widely used tool in applied mathematics. The advantages of wavelet wraps and their promising features in various application have attracted a lot of interest and effort in recent years. In this paper, we develop the notion of a sort of multivariate vector wavelet wraps. A new approcah for designing the multidimensional vector wavelet wraps is formul- ated. Their characters are investigated by virtue of iterative method, time-frequency analysis metho- d and matrix theory. There biorthogonality formulas regarding the wavelet wraps are provided. Biorthogonality decomposition relation formulas of the space L2(Rn)r are obtained by constructing a series of subspaces of the vector-valued wavelet wraps. Moreover, several Riesz bases of space L2(Rn)r are constructed from the wavelet wraps.

  Info
Periodical
Advanced Materials Research (Volumes 171-172)
Edited by
Zhihua Xu, Gang Shen and Sally Lin
Pages
121-124
DOI
10.4028/www.scientific.net/AMR.171-172.121
Citation
Z. S. Sheng, Y. M. Yu, "The Characterization of Biorthogonal Multidimensional Vector Wavelet Wraps with Nine-Scale Dilation Factor", Advanced Materials Research, Vols. 171-172, pp. 121-124, 2011
Online since
December 2010
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: 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: Qing Jiang Chen, Jian Tang Zhao
Abstract:In this work, the notion of vector-valued multiresolution analysis and biort- ogonal vector–valued wavelets is introduced. The existence of...
323
Authors: Jian Yong Su, Jin Bo Yang, Gui Jie Yang
Chapter 8: Motor and Electrical
Abstract:The mathematic model that based on decoupling vector space for six-phase permanent magnet synchronous motor (PMSM) is established. The...
1626
Authors: Xiao Yun Gong, Jie Han, Hong Chen, Wen Ping Lei
Chapter 5: Control and Detection Technology
Abstract:Wavelet envelope demodulation method can distinguish the fault information from complex bearing vibration signal. However, traditional signal...
873