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.
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Wysocka-Schillak, F. (2008). Design of 2-D Approximately Zero-Phase Separable IIR Filters Using Genetic Algorithms. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2007. Lecture Notes in Computer Science, vol 4818. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78827-0_72
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DOI: https://doi.org/10.1007/978-3-540-78827-0_72
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78825-6
Online ISBN: 978-3-540-78827-0
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