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Evolutionary synthesis of digital filter structures using genetic programming

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2 Author(s)
K. Uesaka ; Dept. of Electron. Eng., Tohoku Univ., Sendai, Japan ; M. Kawamata

This paper presents a synthesis method for infinite-impulse response (IIR) digital filter structures using genetic programming with automatically defined functions (GP-ADF). In the proposed method, digital filter structures are represented as S-expressions with subroutines, which are written directly from the set of difference equations. This paper also shows the condition for the constructing the S-expressions that represent the filter structures without delay-free loops. Numerical examples synthesize two-filter structures: the low-coefficient sensitivity fourth-order filter structure and the low-output roundoff noise second-order filter structure.

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IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing  (Volume:50 ,  Issue: 12 )