Lightning attachment procedure optimization algorithm for optimal design of digital FIR band stop filter

Abstract

This study uses the Lightning Attachment Procedure Optimization (LAPO) method to show how to design a digital finite impulse response (FIR) 20th order band stop filter (BSF). LAPO is a physical-based metaheuristic optimization algorithm. One of the main goals of filter design is the simultaneous reduction of pass band ripples and stop band ripples. The aim is to identify such ideal filter coefficients that reduce the magnitude and phase errors. Comparing the LAPO method to the Cuckoo Search Algorithm (CSA) and Particle Swarm Optimization (PSO), the comprehensive simulation results and Wilcoxon rank-sum test at 99% level of confidence demonstrate how effectively the LAPO algorithm works in determining the optimal coefficients of the digital FIR BSF. For this design, the LAPO method achieves its global best solution in 11.94 seconds which is 25.84%, 25.19% and 0.83% better as compared to time taken by PSO, CSA and Integrated Optimization Technique (IOT), respectively since LAPO technique has no parameter adjustment.