A Short Introduction to Wavelets and Their Applications

被引：59

作者：

Gargour, Christian ^{[1
]}

Gabrea, Marcel ^{[1
]}

Ramachandran, Venkatanarayana ^{[2
]}

Lina, Jean-Marc ^{[1
]}

机构：

[1] Univ Quebec, ETS, Dept Elect Engn, Montreal, PQ H3C 1K3, Canada

[2] Concordia Univ, Dept Elect Engn & Comp Sci, Montreal, PQ H3G 1M8, Canada

来源：

IEEE CIRCUITS AND SYSTEMS MAGAZINE | 2009年 / 9卷 / 02期

关键词：

FILTER BANKS; TIME; SIGNALS; DECOMPOSITION; TRANSFORMS; JPEG-2000; BASES;

D O I：

10.1109/MCAS.2009.932556

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：

This simplified introduction to wavelets starts with a short historical background. The continuous wavelet transform is presented. The multiresolution concept is concisely described. It is followed by the filter banks method for wavelet analysis and reconstruction. Wavelet packets are briefly presented. Some typical applications are mentioned.

引用

页码：57 / 68

页数：12

共 53 条

[1] Multiscale nature of network traffic [J].

Abry, P ;

Baraniuk, R ;

Flandrin, P ;

Riedi, R ;

Veitch, D .

IEEE SIGNAL PROCESSING MAGAZINE, 2002, 19 (03) :28-46

[2]

Akansu AN, 1998, IEEE T SIGNAL PROCES, V46, P979, DOI 10.1109/78.668551

[3] THE BINOMIAL QMF-WAVELET TRANSFORM FOR MULTIRESOLUTION SIGNAL DECOMPOSITION [J].

AKANSU, AN ;

HADDAD, RA ;

CAGLAR, H .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (01) :13-19

[4]

Akay M., 1998, Time Frequency and Wavelets in Biomedical Signal Processing

[5] UNIFIED APPROACH TO SHORT-TIME FOURIER-ANALYSIS AND SYNTHESIS [J].

ALLEN, JB ;

RABINER, LR .

PROCEEDINGS OF THE IEEE, 1977, 65 (11) :1558-1564

[6]

[Anonymous], 1994, Adapted Wavelet Analysis from Theory to Software

[7]

[Anonymous], 2001, Multiresolution Signal Decompo-sition: Transforms, Subbands, and Wavelets

[8]

[Anonymous], 1998, Wavelets, vibrations and scalings

[9]

[Anonymous], 1997, Introduction to Wavelets and WaveletTransforms: A Primer

[10] Image coding using wavelet transform [J].

Antonini, Marc ;

Barlaud, Michel ;

Mathieu, Pierre ;

Daubechies, Ingrid .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 1992, 1 (02) :205-220

← 1 2 3 4 5 6 →