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.

引用

下载

页码：167 / 180

页数：14

共 50 条

[11] Fractional Hankel and Bessel wavelet transforms of almost periodic signals
Uzun, Banu Unalmis
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 12
[12] Fractional Hankel and Bessel wavelet transforms of almost periodic signals
Banu Ünalmış Uzun
Journal of Inequalities and Applications, 2015
[13] A FAST ALGORITHM FOR EXTRAPOLATION OF DISCRETE-TIME PERIODIC BAND-LIMITED SIGNALS
SOLTANIANZADEH, H
YAGLE, AE
SIGNAL PROCESSING, 1993, 33 (02) : 183 - 196
[14] Bifurcations in a periodic discrete-time environment
Poetzsche, Christian
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 53 - 82
[15] ON THE ADAPTIVE INTERPOLATION OF DISCRETE-TIME SIGNALS
DANTE, HM
SIGNAL PROCESSING, 1989, 17 (04) : 305 - 311
[16] On the theory of discrete-time signals of the discrete/continuous type
Johnson, CD
PROCEEDINGS OF THE 35TH SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY, 2003, : 113 - 121
[17] Frequency-warped filter banks and wavelet transforms: A discrete-time approach via Laguerre expansion
Evangelista, G
Cavaliere, S
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (10) : 2638 - 2650
[18] Searching for periodic signals in kinematic distributions using continuous wavelet transforms
Beauchesne, Hugues
Kats, Yevgeny
EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (03):
[19] Searching for periodic signals in kinematic distributions using continuous wavelet transforms
Hugues Beauchesne
Yevgeny Kats
The European Physical Journal C, 2020, 80
[20] Fast reconstruction in periodic nonuniform sampling of discrete-time band-limited signals
Marziliano, P
Vetterli, M
2000 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, PROCEEDINGS, VOLS I-VI, 2000, : 317 - 320

← 1 2 3 4 5 →