Synthesis of low-sensitivity second-order digital filter using genetic programming with automatically defined functions

This paper proposes a synthesis method for low coefficient sensitivity second-order IIR digital filter structures using Genetic Programming with Automatically Defined Functions (GP-ADF). In this paper, digital filter structures are represented as S-expressions with subroutines. It is easy to generate syntactically valid S-expressions and perform the genetic operations because the representation is suitable for GP. In a numerical example, we use the fitness measure including the magnitude sensitivity, and demonstrate that the proposed method can synthesize efficiently very low coefficient sensitivity filter structures