A Novel Design Method for Digital FIR/IIR Filters Based on the Shuffle Frog-Leaping Algorithm

TL;DR

This paper introduces a modified Shuffled Frog Leaping Algorithm for designing FIR and IIR digital filters, achieving superior frequency response approximation compared to traditional and recent bio-inspired methods.

Contribution

The paper presents a novel memetic algorithm-based method for digital filter design that outperforms traditional and recent bio-inspired algorithms.

Findings

Filters designed with the proposed algorithm outperform traditional BZT methods.

Results are comparable or better than recent bio-inspired approaches.

The method effectively approximates desired filter frequency responses.

Abstract

The design of both FIR and IIR digital filters is a multi-variable optimization problem, where traditional algorithms fail to obtain optimal solutions. A modified Shuffled Frog Leaping Algorithm (SFLA) is here proposed for the design of FIR and IIR discrete-time filters as close as possible to the desired filter frequency response. This algorithm can be considered a type of memetic algorithm. In this paper, simulations prove the obtained filters outperform those designed using the traditional bilinear Z transform (BZT) method with elliptic approximation. Besides, results are close to, and even slightly better, than those reported in recent bio-inspired approaches using algorithms such as particle swarm optimization (PSO), differential evolution (DE) and regularized global optimization (RGA).