Optimal design of multidimensional digital filters based on genetic algorithm

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This paper proposes an optimal design of separable-denominator two-dimensional digital filters based on a genetic algorithm for frequency domain specifications. Prameters of the transfer function of a separable-denominator two-dimensional digital filters are encoded to bit strings in order to apply a genetic algorithm to the design. Stability of a two-dimensional digital filter is easily cheched because of the separabitlity of the denominator of the transfer function. The proposed method has flexibility for change of specifications of two-dimensional digital filters, and enables us to use arbitrary error functions. The usefulness of the proposed method is demonstrated by design examples.