Design of two-dimensional recursive filters by using Taguchi-based immune algorithm

The Taguchi-based immune algorithm (TBIA), based on both the features of a biological immune system and the systematic reasoning ability of the Taguchi method, is applied in this work to solve the design problem of two-dimensional (2D) recursive digital filters. In the TBIA, the clonal proliferation within hypermutation for several antibody diversifications and the recombination by using the Taguchi method for the local search are integrated to improve the capabilities of exploration and exploitation. The systematic reasoning ability of the Taguchi method is implemented in the recombination operation to select the better antibody genes to achieve the potential recombination, and consequently enhance the TBIA. The design of the 2D filter is reduced to a constrained minimisation problem, the solution of which is achieved by the convergence of the presented TBIA. The computational experiments show that the presented TBIA approach can obtain better results than some previous design methods.