Signals Denoising Using Fractional Wavelets

Abderrahim, Lanani; Abdelaziz, Aboudi

Journal of Mathematics, Engineering and Computer Sciences (JMEC)
Volume 0, Numéro 0, Pages 20-30
2022-07-15

Signals Denoising Using Fractional Wavelets

Authors : Abderrahim Lanani . Abdelaziz Aboudi .

Abstract

. In order to illustrate the potential and efficiency of fractional wavelets compared to the different wavelets existing in the literature, one of the applications of wavelets is presented in this paper. This is the denoising of signals by thresholding fractional wavelet coefficients. Two fractional wavelet bases are used: fractional Haar wavelets and fractional wavelets with compact support. These wavelets have interesting characteristics and properties, where the flexibility of the associated filters and its high selectivity offer to these bases a great ability to support several digital signals processing in a very efficient manner. The experimental results obtained are satisfactory and promising; they show that the performance of fractional wavelets is superior to that of classical wavelets; this is due to the flexibility and high selectivity of fractional filters associated with these fractional bases.