Basis selection for wavelet processing of sparse signals

被引：3

作者：

Atkinson, Ian C. ^{[1
,2
,3
]}

Kamalabadi, Farzad ^{[4
,5
]}

机构：

[1] Univ Illinois, Dept Radiol, Chicago, IL 60612 USA

[2] Univ Illinois, Dept Elect & Comp Engn, Chicago, IL 60612 USA

[3] Univ Illinois, Ctr MR Res, Chicago, IL 60612 USA

[4] Univ Illinois, Dept Elect & Comp Engn, Urbana, IL 61801 USA

[5] Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA

来源：

SIGNAL PROCESSING | 2008年 / 88卷 / 09期

关键词：

wavelet transforms; signal representations;

D O I：

10.1016/j.sigpro.2008.03.001

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：

The sparsity of a signal in a wavelet domain depends on both the wavelet basis and the exact form of the signal. We consider the selection of a wavelet basis that can efficiently represent a piecewise polynomial signal that is itself sparse in the signal domain. Accounting for the inherent sparsity of the signal allows for the maximum wavelet filter length and number of decomposition levels to be computed so as to guarantee that the resulting wavelet-domain representation is at least as sparse as the-original signal, a desirable property for most wavelet processing techniques. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：2340 / 2345

页数：6

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