Reconstruction of original signal from contaminated signal using fractional order differentiator

Abstract

A discrete time modeled fractional order differentiator has been designed for estimating the fractional order derivative of contaminated signal. The proposed approach uses Chebyshev polynomial based approximation. Riemann-Liouville fractional order derivative definition has been used for design of fractional order Savitzky-Golay differentiator. Proposed algorithm has been validated with different signals. The results show the robustness and sensitivity of the proposed method against noise. © 2015 IEEE.