Oversampled Wilson expansions

被引：10

作者：

Bolcskei, H

Grochenig, K

Hlawatsch, F

Feichtinger, HG

机构：

[1] UNIV CONNECTICUT,DEPT MATH,STORRS,CT 06269

[2] UNIV VIENNA,DEPT MATH,NUMER HARMON ANAL GRP,A-1090 VIENNA,AUSTRIA

来源：

IEEE SIGNAL PROCESSING LETTERS | 1997年 / 4卷 / 04期

基金：

奥地利科学基金会; 美国国家科学基金会;

关键词：

D O I：

10.1109/97.566702

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：

Recently orthonormal Wilson bases with good time-frequency localization have been constructed by Daubechies, Jaffard, and Journe. We extend this construction to Wilson sets and frames with arbitrary oversampling (or redundancy). We state conditions under which dual Weyl-Heisenberg (WH) sets induce dual Wilson sets, and we formulate duality conditions in the time domain and frequency domain. We show that the dual frame of a Wilson frame has again Wilson structure, and that it is generated by the dual frame of the underlying Weyl-Heisenberg frame. The Wilson frame construction preserves the numerical properties of the underlying Weyl-Heisenberg frame while halving its redundancy.

引用

页码：106 / 108

页数：3

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