Comparative Study of Five Fractional-Order Low Pass Filter Transfer Functions

Abstract

This chapter presents the comparison of five optimal fractional-order low pass filter transfer functions (FOTFs) to model the characteristics of the (1+α), where α ϵ (0, 1), order frequency filters. The FOTF models are optimally designed using an efficient bio-inspired metaheuristic optimizer such as the flower pollination algorithm (FPA). A comparative study between the designed models and also with the literature is conducted which reveals promising results. Positive polarity second generation current conveyor (CCII+) based Tow-Thomas biquad filter is used to demonstrate the practical feasibility of the proposed models in OrCAD PSpice platform. CCII+ based integer order transfer function approximations for the proposed FOTFs are also implemented. Monte-Carlo simulations are performed to investigate the design sensitivity to the component tolerances.