Symmetric and antisymmetric tight wavelet frames

被引：19

作者：

Goh, Say Song ^{[1
]}

Lim, Zhi Yuan ^{[1
]}

Shen, Zuowei ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2006年 / 20卷 / 03期

关键词：

wavelet frame; multiresolution analysis; symmetry;

D O I：

10.1016/j.acha.2005.09.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a given set of wavelets Psi, we provide a general, and yet simple, method to derive a new set of wavelets psi' such that each wavelet in psi' is either symmetric or antisymmetric. The affine system generated by psi' is a tight frame for the space L-2(R-d) whenever the affine system generated by psi is so. Further, when psi is constructed via a multiresolution analysis, psi' can also be derived from a, but possibly different, multiresolution analysis. If moreover the multiresolution analysis for constructing psi is generated by a symmetric refinable function, then psi' is obtained from the same multiresolution analysis. (C) 2005 Elsevier Inc. All rights reserved.

引用

页码：411 / 421

页数：11

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