A Hybrid Differential Evolution Method for the Design of Low Pass Digital Fir Filter

This paper presents the methodology for the design of Low pass FIR digital filter using hybrid Differential Evolution (DE) method. It is an evolutionary algorithm that exhibits the features of both the basic DE and HookeJeeves exploratory move to attain the optimal solution. The basic DE and exploratory move have the capability to exploit and explore the search space to design the optimal filter parameters. A multivariable objective function is optimized to attain the minimum magnitude error and pass band and stop band ripples. The designed Low pass digital FIR filter authenticates that the proposed hybrid DE algorithm yields more accurate and efficient solution and can be effectively applied for the design of High pass, Band pass and Band stop digital filters. Keywords— Digital Infinite-Impulse Response (IIR) filter, Digital Finite-Impulse Response (FIR) filter, DE, exploratory move