Wavelets: the mathematical background

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 de...

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Bibliographic Details
Published inProceedings of the IEEE Vol. 84; no. 4; pp. 514 - 522
Main Authors Cohen, A., Kovacevic, J.
Format Journal Article
LanguageEnglish
Published IEEE 01.04.1996
Subjects
Application software
Continuous wavelet transforms
Discrete wavelet transforms
Fourier transforms
Multiresolution analysis
Numerical analysis
Signal processing
Signal processing algorithms
Time frequency analysis
Wavelet analysis
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9219
1558-2256
DOI:10.1109/5.488697