Abstract

A simple, nonrigorous, synthetic view of wavelet theory is presented for both review and tutorial purposes. The discussion includes nonstationary signal analysis, scale versus frequency, wavelet analysis and synthesis, scalograms, wavelet frames and orthonormal bases, the discrete-time case, and applications of wavelets in signal processing. The main definitions and properties of wavelet transforms are covered, and connections among the various fields where results have been developed are shown

Keywords

WaveletDiscrete wavelet transformSignal processingOrthonormal basisComputer scienceSIGNAL (programming language)Wavelet transformLegendre waveletArtificial intelligenceSpeech recognitionGabor waveletPattern recognition (psychology)AlgorithmDigital signal processingProgramming languageComputer hardware

Affiliated Institutions

Related Publications

Publication Info

Year
1991
Type
article
Volume
8
Issue
4
Pages
14-38
Citations
2751
Access
Closed

Social Impact

Altmetric

Social media, news, blog, policy document mentions

Citation Metrics

2751
OpenAlex
116
Influential
2021
CrossRef

Cite This

Olivier Rioul, Martin Vetterli (1991). Wavelets and signal processing. IEEE Signal Processing Magazine , 8 (4) , 14-38. https://doi.org/10.1109/79.91217

Identifiers

DOI
10.1109/79.91217

Data Quality

Data completeness: 81%