Design of 2-D FIR digital filters with specified magnitude and group delay responses by GA approach

  • Authors:
  • Shian-Tang Tzeng

  • Affiliations:
  • Department of Electronic Engineering, Kao Yuan University, No. 1821 Chungshan Road, Luchu, Kaohsiung 821, Taiwan

  • Venue:
  • Signal Processing
  • Year:
  • 2007

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Abstract

An effective genetic algorithm (GA) approach is proposed for designing two-dimensional (2-D) real finite-duration impulse response (FIR) digital filters with complex-valued frequency responses. The method is extended from the one-dimensional (1-D) filter designs. By minimizing a quadratic measure of the error in the frequency band, the real-valued chromosomes of a population are evolved to get the filter coefficients. It is used to design two major classes of 2-D FIR digital filters including multi-band filters and all-pass phase equalizers. Two examples are presented to demonstrate the efficiency and effectiveness of this proposed approach.