Simultaneous denoising and enhancement of signals by a fractal conservation law - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications in Nonlinear Science and Numerical Simulation Année : 2012

Simultaneous denoising and enhancement of signals by a fractal conservation law

Résumé

In this paper, a new filtering method is presented for simultaneous noise reduction and enhancement of signals using a fractal scalar conservation law which is simply the forward heat equation modified by a fractional anti-diffusive term of lower order. This kind of equation has been first introduced by physicists to describe morphodynamics of sand dunes. To evaluate the performance of this new filter, we perform a number of numerical tests on various signals. Numerical simulations are based on finite difference schemes or Fast and Fourier Transform. We used two well-known measuring metrics in signal processing for the comparison. The results indicate that the proposed method outperforms the well-known Savitzky-Golay filter in signal denoising. Interesting multi-scale properties w.r.t. signal frequencies are exhibited allowing to control both denoising and contrast enhancement.
Fichier principal
Vignette du fichier
article_signal.pdf (505.59 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00477356 , version 1 (28-04-2010)
hal-00477356 , version 2 (07-05-2010)

Identifiants

Citer

Pascal Azerad, Afaf Bouharguane, Jean-François Crouzet. Simultaneous denoising and enhancement of signals by a fractal conservation law. Communications in Nonlinear Science and Numerical Simulation, 2012, 17 (2), pp.867-881. ⟨10.1016/j.cnsns.2011.07.001⟩. ⟨hal-00477356v2⟩
483 Consultations
814 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More