The Inexistence of Symmetrical,Orthonormal and Compactly Supported Three-Band Wavelet System with the Length(6,m,n)

Zheng Wei SHEN Yu LIU Wei XU Fu Cheng LIAO

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The Inexistence of Symmetrical,Orthonormal and Compactly Supported Three-Band Wavelet System with the Length(6,m,n)

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摘要

This paper proves the inexistence of symmetric,orthonormal and commpactly supported three-band wavelet system with the length(6,m,n) in terms of the method of polyphase matrix representation.

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《数学研究与评论》 |2010年第6期|1071-1077|共7页
作者
Zheng Wei SHEN Yu LIU Wei XU Fu Cheng LIAO;
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作者单位

Department of Mathematics and Mechanics;

School of Applied Science;

University of Science and Technology Beijing;

Beijing 100083;

P.R.China;

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原文格式 PDF
正文语种 chi
中图分类傅里叶分析（经典调和分析）;
关键词
wavelets; polyphase matrix; filters.;

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1. Construction of nonseparable orthonormal compactly supported wavelet bases for L^2(R^d) [J] . YANG Shou-zhi LIN Jun-hong . 高校应用数学学报：英文版（B辑） . 2012,第2期
2. CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELETS BY UNIVARIATE ORTHOGONAL WAVELETS [J] . 杨建伟 ,李落清 ,唐远炎 . 数学物理学报：B辑英文版 . 2005,第2期
3. Nonlinear Dynamic System Model OnlineSelf-learning Based on MultiresolutionWavelet Neural Networks [C] . . 第九届过程控制科学报告会(上、下) . 1998
4. Online Multiscale Wavelets denoising based on Lifting Scheme,Moving Window & PCA [A] . Sajid Khursheed . 2013

The Inexistence of Symmetrical,Orthonormal and Compactly Supported Three-Band Wavelet System with the Length(6,m,n)

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