Abstract
This letter 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 letter, 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. A
numerical example uses the fitness measure, including
the magnitude sensitivity, and demonstrates that the
proposed method can synthesize efficiently very low
coefficient sensitivity filter structures.
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