WAVELET TRANSFORMS FOR DISCRETE-TIME PERIODIC SIGNALS

被引：13
|
作者：
GUBNER, JA
CHANG, WB
机构：
[1] Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI 53706
来源：
SIGNAL PROCESSING | 1995年 / 42卷 / 02期
关键词：
ORTHONORMAL WAVELETS; BIORTHOGONAL WAVELETS; SYMMETRICAL BIORTHOGONAL WAVELETS; PYRAMID ALGORITHMS; FAST WAVELET TRANSFORMS;
D O I：
10.1016/0165-1684(94)00125-J
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：
Wavelet transforms for discrete-time periodic signals are developed. In this finite-dimensional context, key ideas from the continuous-time papers of Daubechies and of Cohen, Daubechies and Feauveau are isolated to give a concise, rigorous derivation of the discrete-time periodic analogs of orthonormal and symmetric biorthogonal bases of compactly supported wavelets. These discrete-time periodic wavelets are expressed in terms of circular FIR filters, and thus lead to fast wavelet transforms whose complexity is order N.
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页码：167 / 180
页数：14
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