A review of different optimization algorithms for a linear phase FIR filter

Abstract

Digital filters forms an important part of today's expanding field of Digital Signal Processing (DSP). Among them the most used filter is Finite impulse response i.e. FIR filters. FIR filters are used extensively used for filtering of image, modulation of frequency, precision arithmetic and for various other purposes. Thus, various optimization methods are employed for the designing of optimal digital FIR filters. Use of various optimization techniques provides better results for different filter coefficients with respect to control parameter, dependence, premature convergence, etc. They have many pros like simple design implementation, minimized error function, superior search capability and fast convergence. In this paper, we are going to compare some well recognized optimisation algorithms based on the ripples present in the pass band and stop band along with the attenuation provided by the stop band.