Design of Digital Fir Filters Using Differential Evolution Algorithm Based on Reserved Gene

摘要

Filtering has been an enabling technology and has found ever-increasing applications. There are two main classes of digital filters: finite impulse response (FIR) filters and infinite impulse response (IIR) filters. FIR filter can be guaranteed to have linear phase and are always stable filters, so FIR filters is widely applicable. The differential evolution (DE) algorithm, which has been proposed particularly for numeric optimization problems, is a population-based algorithm like the genetic algorithms. In this work, the DE algorithm based on reserved gene has been applied to the design of digital finite impulse response filters. It can produce new chromosomes in ever generation by combined with reserved gene of special chromosome into a single entity. And its performance has been compared to other method. Examples are illustrated to demonstrate the effectiveness of the proposed design method.