An l&amp;lt;inf&amp;gt;p&amp;lt;/inf&amp;gt;design technique for two-dimensional digital recursive filters

Maria, G.; Fahmy, M.M.

doi:10.1109/tassp.1974.1162535

Cited by 102 publications

(14 citation statements)

References 9 publications

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“…On the contrary, the previous methods, which are based more or less on a trial-and-error approach, cannot always guarantee the stability of the filter. Further, our implementation leads to a simpler filter since, in practice, we have to realize a factorable denominator and in particular of first-order filters, which obviously are simpler than those of [3], [4]. For the same numerical example, the present method finds a better approximation of the transfer function than the method of [11].…”

Section: Discussionmentioning

confidence: 95%

“…One of the main advantages of the present method over the method of [3] and [4] is that we can check the stability of the designed filter from the beginning of the procedure, since we introduce the desired stability as appropriate constraints. On the contrary, the previous methods, which are based more or less on a trial-and-error approach, cannot always guarantee the stability of the filter.…”

Section: Discussionmentioning

confidence: 99%

“…2 shows the desired amplitude response . Furthermore, for comparison, the result of the method given in [3] and [4] is presented in Fig. 3 and that of the method given in [11] is presented in Fig.…”

Section: Problem Solutionmentioning

confidence: 99%

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Design of two-dimensional recursive filters using genetic algorithms

Mastorakis

Gonos

Swamy

2003

IEEE Trans. Circuits Syst. I

124

114

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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 systems, two-dimensional (2-D) recursive filters, 2-D systems.

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Section: Discussionmentioning

confidence: 95%

Section: Discussionmentioning

confidence: 99%

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Design of two-dimensional recursive filters using genetic algorithms

Mastorakis

Gonos

Swamy

2003

IEEE Trans. Circuits Syst. I

124

114

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“…Thus, the design of 2-D recursive filters is equivalent to the following constrained minimization problem: (4) subject to the conditions given by (3), where is a positive integer (usually or ), and and are given positive integers.…”

Section: Design Of 2-d Recursive Filtersmentioning

confidence: 99%

Evolutionary design of 2-dimensional recursive filters via the computer language GENETICA

Gonos

Virirakis

Mastorakis

et al. 2006

IEEE Trans. Circuits Syst. II

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Abstract-In this paper, we present a new design method for a class of two-dimensional (2-D) recursive digital filters using an evolutionary computational system. 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 evolutionary algorithm. In our approach, the genotypes of potential solutions have a uniform probability within the region of the search space specified by the constraints and zero probability outside this region. This approach is particularly effective as the evolutionary search considers only those potential solutions that respect the constraints. We use the computer language GENETICA, which provides the expressive power necessary to get an accurate problem formulation and supports an adjustable evolutionary computational system. Results of this procedure are illustrated by a numerical example, and compared with those of some previous designs.

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“…In [41], an algorithm for any (2-D) spectral transformation of 2-D filters [1]- [3], [39], which is based on the technique of [37] and [38], is presented.…”

Section: Introductionmentioning

confidence: 99%