Bat algorithm for the design of fractional order FIR differentiators and fractional FIR Hilbert transformers: A comparative study

In this paper, a novel method to design FIR filters of required frequency response and order is proposed. Nature-inspired optimization algorithms have been used to optimize the filter coefficients so that the frequency response of the FIR filter mimics the frequency response of the ideal one. The Bat Algorithm (BA) has been used to implement the design of Generalized Fractional Order Differentiators (GFOD) and Generalized Fractional Hilbert Transformer (GFHT). The results have then been compared to those obtained from Genetic Algorithm (GA) and Particle Swarm Optimization (PSO). The statistical results show that BA is well suited for this optimization problem as compared to GA and PSO. BA shows promise for similar digital signal processing applications as well.