Design of 2-D IIR Filters Using Two Error Criteria with Genetic Algorithm

Authors:
Felicja Wysocka-Schillak
Affiliations:
University of Technology and Life Sciences, Institute of Telecommunications, al. Prof. S. Kaliskiego 7, 85-796 Bydgoszcz, Poland
Venue:
ICANNGA '07 Proceedings of the 8th international conference on Adaptive and Natural Computing Algorithms, Part I
Year:
2007

Citing 6
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
A weighted least-squares method for the design of stable 1-D and2-D IIR digital filters

IEEE Transactions on Signal Processing
Peak-constrained least-squares optimization

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

IEEE Transactions on Signal Processing

Quantified Score

Hi-index	0.00

Visualization

Abstract

The paper presents a method for designing 2-D IIR filters with a quadrantally symmetric magnitude response. The method is based on two error criteria, i.e., equiripple error criterion in the passband and least-squared error criterion in the stopband. Two objective functions are introduced and the filter design problem is transformed into an equivalent bicriterion optimization problem. The stability of the filter is ensured by explicitly including stability constraints in the considered optimization 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. Two design examples are given to illustrate the proposed technique. A comparison with a 2-D IIR filter designed using LS approach is also presented.