Grey Wolf Optimizer for Optimal Design of Digital HR Filter

Digital filters play an important role in digital signal processing applications. In this work Grey Wolf Optimizer (GWO) algorithm is used to design optimal digital UR filters. The multiobjective function based on minimizing the absolute error (L1-norm), the square of error (L2-norm) and the ripple of magnitude of passband and stopband frequencies is used to solve the optimization problem with stability constraints. The simulation results of designed Low-pass (LP), High-pass (HP), Band-pass (BP) and Band-stop (BS) show the ability and success of using GWO for design digital HR filters and it gives frequency response with small absolute error and design specifications within suitable range as compared with other algorithms in literature.