A Water Cycle Algorithm for Optimal Design of IIR Filters

Abstract

In this work, a water cycle algorithm (WCA) is applied for the optimal design of infinite impulse response (IIR) low pass and high pass filter. The WCA is based on evaporation and raining processes, which help to sustain equilibrium among diversification and intensification ability of the algorithm. In order to ensure the stability of the IIR filter, a lattice equivalent approach has been used. For experimentation, 8th order low pass and high pass IIR filters have been undertaken. For low pass IIR filters, the objective function value obtained by WCA is 0.9966, and passband error, stopband error, and squared error values are very less and in the order of E-05. Further, it is found that WCA is able to achieve maximum stopband attenuation, i.e., 28.4681 dB. The obtained results are compared with that of the other state-of-the-art techniques and conclude that WCA is capable of finding the best solution.