Design of Optimum Digital FIR Low Pass Filter Using Hybrid of GA & PSO Optimization

Digital filters have found important applications in an increasing number of fields in science and engineering, and design techniques have been developed to achieve desired filter characteristics. This paper presents an optimization technique for the design of optimal digital FIR low pass filter. The design of digital FIR filters possible by solving a system of linear equations. In this paper, design techniques of low pass FIR filters using Genetic Algorithm (GA), Particle Swarm Optimization (PSO) and Hybrid system of GA and PSO are presented. The magnitude response and filter coefficients are demonstrated for different optimization techniques. Comparison the various optimization techniques has been done the hybrid optimization performs better in comparisons to genetic algorithm and particle swarm optimization. This in turn improves design efficiency as well as the algorithm’s numerical stability which is of critical importance for the design filter. Design examples with comparisons are presented to illustrate the effectiveness of the hybrid optimization method.