Particle Swarm Optimization-Based Bandpass Filter Using Switched-Fractional Capacitors

Abstract

A new approach to designing a fractional bandpass filter using switched-fractional capacitors has been reported for the first time. This is achieved using four fractional-capacitors ( F C 1 , F C 2 , F C 3 , and F C 4 ) with orders α, β, δ, and λ, respectively, where 0 < α , β , δ , λ ≤ 1 . The presented work deals with designing a fractional bandpass filter using switched capacitors and switched-fractional capacitors in place of resistors. The stability and the speed of response of the proposed filter have been investigated by computing the filter parameters analytically. Filter parameters such as settling-time ( t s ), peak-overshoot ( M p ), and rise-time ( t r ) improve compared with their integer-order counterpart. Furthermore, detailed comparative studies on different design parameters have also been carried out through simulation studies and experimentations. The particle swarm optimization (PSO) technique is used for getting the optimal values of the orders of the switched-fractional capacitors to improve the response of the proposed filter.