Optimal Design of (1+α)-order Bessel Filter and its Realization using DVCC

This paper presents the optimal design of fractional-order Bessel filter of order (1+α), where, α ∈ (0, 1). The optimal values of the gain term and the coefficients of the pole polynomial are determined using two efficient metaheuristics, namely the marine predators algorithm (MPA) and the geometric mean optimizer (GMO). MATLAB simulations are carried out to evaluate the fractional-order Bessel filter functions for nine distinct values of α. Comparisons between MPA and GMO based designs regarding the fitness error, execution time, and algorithm convergence profile, are presented. Comparisons with the literature highlight improved modeling accuracy for the proposed approach. Implementation of the proposed MPA-based 1.5th order Bessel filter is carried out with the differential voltage current conveyor being used as the active circuit element.