Constructions of periodic wavelet frames using extension principles

被引：9
|
作者：
Zhang, Zhihua [1 ]
Saito, Naoki [1 ]
机构：
[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2009年 / 27卷 / 01期
基金：
美国国家科学基金会;
关键词：
Periodic wavelet frame; Dual frame; Extension principle; Multiresolution analysis; COMPACTLY SUPPORTED TIGHT; REFINABLE FUNCTION VECTORS; MAXIMUM VANISHING MOMENTS; AFFINE SYSTEMS; GENERATORS; L-2(R-D);
D O I：
10.1016/j.acha.2008.10.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Since the extension principles of constructing wavelet frames were presented, a lot of symmetric and compactly supported wavelet frames with high vanishing moments have been constructed. However the problem of constructing periodic wavelet frames with the help of extension principles is open. In this paper, we will construct tight periodic wavelet frames using the unitary extension principle and construct pairs of dual periodic wavelet frames using the mixed extension principle. (C) 2008 Elsevier Inc. All rights reserved.
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页码：12 / 23
页数：12
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