Communication science et technologie
Volume 2, Numéro 1, Pages 83-89
2003-12-01

Wavelet Analysis Versus Fourier Analysis:application To Time-varying Spectra Signals.

Authors : S.a Chouakri . F. Bereksi-reguig .

Abstract

We present in this paper an approach to understanding one of the recent tools used in the signal processing world,that is the Wavelet theory.The philosophy of this paper is based on utilizing the fourier theory as a platform to illustrate the Wavelet analyis.For this purpose ,we present the relationships between these two techniques,as well as the results of applying these techniques to three different cases representing signals with particular features.The obtained results show obviously the improved ability of the wavelet transform to analyze some complicated case of signal regarged to the fourier analysis.

Keywords

Wavelet transform, Fourier transform,Time-frequency resolution ,Non-stationary signal,Time-varying.