Design of 2D FIR digital filters with symmetric properties by genetic algorithm approach

Abstract

Besides the design of quadrantally symmetric linear-phase 2D FIR digital filters, a wide variety of linear-phase 2D filter designs are proposed in this paper. It is shown that there are 16 types of cases to be considered according to the symmetry/antisymmetry of 2D sequences in both directions and their filter lengths (even or odd). The corresponding types of magnitude responses are tabulated into a complete table if these 2D sequences are used to realize 2D FIR digital filters by genetic algorithm (GA) approach