Random noise attenuation on finite-difference wave propagation using fuzzy transform

Abstract

Fuzzy Transform (F-transform) has been introduced as an approximation method which encompasses both classical transforms and approximation methods studied in fuzzy modeling and fuzzy control. It has been proved that, under some conditions, F-transform can remove a periodical noise and it can significantly reduce random noise. In this work we apply the F-transform methodology to propose a finite-difference approach to solving the acoustic wave equation with noisy initial conditions.