DocumentCode :
3812941
Title :
Wavelets: the mathematical background
Author :
A. Cohen;J. Kovacevic
Author_Institution :
Paris VI Univ., France
Volume :
84
Issue :
4
fYear :
1996
Firstpage :
514
Lastpage :
522
Abstract :
The authors give an overview of the continuous and oversampled wavelet transform. They discuss how, by sampling the continuous wavelet transform, orthonormal wavelet bases can be obtained. Multiresolution analysis, as a framework for studying wavelet bases, is also presented. Finally, the authors deal with discrete-time wavelet representations, filter banks, and fast algorithms.
Keywords :
"Discrete wavelet transforms","Fourier transforms","Signal processing algorithms","Signal processing","Time frequency analysis","Continuous wavelet transforms","Wavelet analysis","Multiresolution analysis","Application software","Numerical analysis"
Journal_Title :
Proceedings of the IEEE
Publisher :
ieee
ISSN :
0018-9219
Type :
jour
DOI :
10.1109/5.488697
Filename :
488697
Link To Document :
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