Design of 2-D Approximately Zero-Phase Separable IIR Filters Using Genetic Algorithms

Authors:
F. Wysocka-Schillak
Affiliations:
Institute of Telecommunications, University of Technology and Life Sciences, Bydgoszcz, Poland 85-796
Venue:
Large-Scale Scientific Computing
Year:
2009

Citing 4
Cited 0

Two-dimensional signal and image processing

Two-dimensional signal and image processing
Genetic Algorithms in Search, Optimization and Machine Learning

Genetic Algorithms in Search, Optimization and Machine Learning
Optimization of two-dimensional IIR filters with nonseparable and separable denominator

IEEE Transactions on Signal Processing
Optimal design of IIR digital filters with robust stability using conic-quadratic-programming updates

IEEE Transactions on Signal Processing

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Abstract

The paper presents a method for designing approximately zero-phase 2-D IIR filters with a quadrantally symmetric magnitude response. The method is based on two error criteria: equiripple error criterion in the passband and least-squared error criterion in the stopband. The filter design problem is transformed into an equivalent bicriterion optimization problem which is converted into a single criterion optimization problem using the weighted sum strategy. The stability constraints are explicitly included into this problem. A two-step solution procedure of the considered problem is proposed. In the first step, a genetic algorithm is applied. The final point from the genetic algorithm is used as the starting point for a local optimization method. A design example is given to illustrate the proposed technique.