On construction of multivariate wavelet frames

被引：22
|
作者：
Skopina, M. [1 ]
机构：
[1] St Petersburg State Univ, Dept Appl Math & Control Proc, St Petersburg 198504, Russia
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2009年 / 27卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Wavelet frame; Matrix dilation; Approximation order; Vanishing moments; Unitary Extension Principle; LAURENT POLYNOMIALS; REFINABLE FUNCTIONS;
D O I：
10.1016/j.acha.2008.11.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Wavelet frames with matrix dilation are Studied. We found a necessary condition and a sufficient condition under which a given pair of refinable functions generates dual wavelet systems with a given number of vanishing moments. Explicit methods for construction Of Compactly Supported dual and tight frames with vanishing moments are suggested. Examples of tight frames with symmetric/antisymmetric wavelet functions found by means of this method are presented. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：55 / 72
页数：18
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