High Pass Digital FIR Filter Design Using Differential Evolution

Digital Filters are generally used in the present era of communication and computation. Good performance of Digital filters is demanding one & hence it’s a challenge to design a digital finite impulse response (FIR) filter satisfying all the necessary and required conditions. Various artificially intelligent optimization techniques evolve for optimized design of digital filter. This paper demonstrates the optimal design of a linear phase digital high pass FIR filter using most suitable mutation strategy of differential evolution (DE) method. DE is a stochastic, population based evolutionary search algorithm used to determine the frequency response of digital FIR filters. Simplicity, fast convergence speed and robustness of algorithm strengthen it and optimal filter coefficients are obtained by its capability of exploring and exploiting the search space locally as well as globally. Multiparameter optimization is employed as the design criterion to obtain the optimal digital FIR filter that minimize the Lpnormapproximation error and ripple magnitudes of both pass band and stop band. Simulation results for the employed DE method for digital high pass FIR filter authenticates that results are comparable to other evolutionary algorithms and can be applied for higher order filter design. Keywords-Digital FIR filter, Differential Evolution algorithm, Magnitude response, Pass band ripples and Stop band ripples.