Design of 2-D FIR half-band filters using genetic algorithm

In the paper, a method for designing 2-D FIR linear-phase half-band filters is proposed. The method is based on two error criteria, i.e., equiripple error criterion in the passband and least-squared error criterion in the stopband. The filter design problem is transformed into an equivalent bicriterion optimization problem. A two-step solution procedure of the considered problem is presented. In the first step, a genetic algorithm is applied. The final point from the genetic algorithm is used as the starting point for a local optimization method. Two design examples are given to illustrate the proposed technique.