Frames and sampling theorems for translation-invariant subspaces

被引：8

作者：

Zhao, P ^{[1
]}

Liu, GZ

Zhao, C

机构：

[1] Xian Jiaotong Univ, Dept Informat & Commun Engn, Xian 710049, Peoples R China

[2] Xian Jiaotong Univ, Sch Sci, Xian 710049, Peoples R China

来源：

IEEE SIGNAL PROCESSING LETTERS | 2004年 / 11卷 / 01期

基金：

中国国家自然科学基金;

关键词：

frame; Riesz basis; sampling; wavelets;

D O I：

10.1109/LSP.2003.819357

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A sampling theorem for frames in translation-invariant subspaces of L-2(R) is established, which is a generalization of a result of Chen and Itoh for Riesz bases. Then, some necessary conditions for sampling are derived for Riesz bases. Some relationships and properties are also derived about the relevant functions.

引用

页码：8 / 11

页数：4

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