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A Novel Genetic Algorithm with Applications to the Design of Higher-Order Sigma-Delta D/A Converters . . . . . . . . I-349
Ali Alavi, *Behrouz Nowrouzian(Univ. of Alberta)
[Abstract]
The main fundamental problem with the existing genetic-algorithm-based techniques for the optimization of
IIR digital filters stems from the fact that after the application of the constituent operations of crossover and mutation to the parent IIR digital filters, the resulting o spring IIR digital lters may cease to be BIBO stable. This paper presents a
novel technique for the genetic optimization of IIR digital filters where the o spring IIR digital lters are guaranteed to be
(inherently) BIBO stable. The resulting technique is particularly suitable for the optimization of the noise transfer function
for sigma-delta D/A converters. This is due to the fact that the classical IIR digital lter transfer function approximation
techniques lead to the formation of delay-free loops in the D/A converter conguration proper.
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