2003
DOI: 10.1109/tcsi.2003.811019
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Design of two-dimensional recursive filters using genetic algorithms

Abstract: Abstract-In this paper, we examine a new design method for two-dimensional (2-D) recursive digital filters using genetic algorithms (GAs). The design of the 2-D filter is reduced to a constrained minimization problem the solution of which is achieved by the convergence of an appropriate GA. Theoretical results are illustrated by a numerical example. Also, comparison with the results of some previous design methods is attempted.Index Terms-Constrained optimization, genetic algorithm (GA), multidimensional syste… Show more

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Cited by 124 publications
(123 citation statements)
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“…For design purposes, the function is equivalent to a class of nonsymmetric half-plane (NSHP) filters, whose 2-D transfer function is given by (1) This approximation can be achieved by minimizing [10], [11] (…”
Section: Design Of 2-d Recursive Filtersmentioning
confidence: 99%
See 4 more Smart Citations
“…For design purposes, the function is equivalent to a class of nonsymmetric half-plane (NSHP) filters, whose 2-D transfer function is given by (1) This approximation can be achieved by minimizing [10], [11] (…”
Section: Design Of 2-d Recursive Filtersmentioning
confidence: 99%
“…Let the desired amplitude response be given by if if otherwise (9) IV. PROBLEM SOLUTION The aforementioned problem has been tackled by using neural networks [10] or a genetic algorithm [11]. The problem-solving application presented here is developed in the computer language GENETICA [12], [13], which is integrated in a programming environment that includes an evolutionary computational system.…”
Section: Problem Formulationmentioning
confidence: 99%
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