Real Coded Genetic Algorithm for the Design of Digital Differentiator

Digital Differentiator (DD) play a very important role to find out and approximate the first, second, or higher-order derivative of a digital signals. In this paper real-coded genetic algorithm (RCGA) is proposed for the design of finite impulse response (FIR) digital differentiator. The intent of this paper is to apply a real-coded genetic algorithm with arithmetic-average-bound-blend (AABBX) crossover and wavelet mutation operator for the design of digital differentiator. The values of the filter coefficients are optimized with RCGA approach to satisfying prescribed specifications. The proposed method is, not only accurate and robust but also optimal in the least-squares sense.