Analysis & Design Of Fractance Based Fractional Order Filter

Abstract: Analysis of analog filter of fractional order is the main objective of this paper. The basics of fractance device are studied. Rational approximation of fractional order operator using continued fraction expansion is carried out. Analytical expressions of the differentiator operator for different input signals have been developed and simulated in MATLAB software and corresponding simulation results are shown for different orders of differentiation. Fractional order filter is studied and performance of the fractional order filter is checked for different input signals (sine wave, trapezoidal wave, sawtooth wave and chirp signal) with random noise and simulated in MATLAB software and the resulted output is compared with the integer order filter output.

Keywords: Fractional Calculus, Continued Fraction Expansion, Fractional Order Operator, Fractance Device.