Characterization on irregular tight wavelet frames with matrix dilations

被引：0
|
作者：
Yang, Deyun [1 ,2 ]
Huan, Zhengliang [1 ]
Song, Zhanjie [3 ]
Yang, Hongxiang [1 ]
机构：
[1] Taishan Univ, Dept Informat Sci & Technol, Tai An 271000, Peoples R China
[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
[3] Tianjin Univ, Sch Sci, Tianjin 300072, Peoples R China
来源：
COMPUTATIONAL SCIENCE - ICCS 2007, PT 2, PROCEEDINGS | 2007年 / 4488卷
基金：
中国国家自然科学基金;
关键词：
irregular frame; tight wavelet frame; matrix dilations; bessel sequences;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
There are many results in one dimensional wavelet frame theory in recent years. However, since there are some essential differences in high dimensional cases, the classical methods for one dimensional regular wavelet frames are unsuitable for the cases. In this paper, under some conditions on matrix-dilated sequences, a characterization formula for irregular tight frames of matrix-dilated wavelets is developed. It is based on the regular formulation by Chui, Czaja, Maggioni, Weiss, and on the recent multivariate results by Yang and Zhou.
引用
收藏
页码：1029 / +
页数：2
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