Title :
Wavelets and signal processing
Author :
Rioul, Olivier ; Vetterli, Martin
Author_Institution :
CNET, Issy-Les-Moulineaux, France
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 :
reviews; signal processing; transforms; discrete-time case; nonstationary signal analysis; orthonormal bases; review; scalograms; signal processing; tutorial; wavelet frames; wavelet theory; wavelet transforms; Continuous wavelet transforms; Discrete wavelet transforms; Fourier transforms; Frequency; Image coding; Prototypes; Signal analysis; Signal processing; Signal resolution; Speech processing;
Journal_Title :
Signal Processing Magazine, IEEE
