Paper Title:
The Optimality Characters of Vector-Valued Binary Small-Wave Wraps with a Constant Dilation Factor
  Abstract

Frame theory has been the focus of active research for twenty years, both in theory and applications. In this work, the notion of orthogonal vector-valued binary small-wave wraps, which is a generalization of uni-wavelet packets, is introduced. A procedure for constructing them is presented. Their orthogonality traits are investigated by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas concerning these binary small-wave wraps are established. Orthonormal wavelet packet bases are obtained. The pyramid decomposition scheme is obtained based on such a GMS and a sufficient condition for its existence is provided.

  Info
Periodical
Edited by
Qi Luo
Pages
1460-1465
DOI
10.4028/www.scientific.net/AMM.58-60.1460
Citation
M. P. Guo, "The Optimality Characters of Vector-Valued Binary Small-Wave Wraps with a Constant Dilation Factor", Applied Mechanics and Materials, Vols. 58-60, pp. 1460-1465, 2011
Online since
June 2011
Authors
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: Zheng Wang, Yan Jun Li, Xiao Wei Sun
Chapter 22: Metrology and Measurement
Abstract:In order to detect and isolate orbiting satellite actuator faults, a decoupling parity space method was extended. The decoupling parity...
4406
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