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Real Coded Genetic Algorithm for Design of IIR Digital Filter with Conflicting Objectives |
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PP: 2635-2644 |
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Author(s) |
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Ranjit Kaur,
Manjeet Singh Patterh,
J. S. Dhillon,
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Abstract |
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A solution methodology for the design of digital infinite impulse response (IIR) filter considering multiple conflicting
objectives has been proposed. The nucleus of the method is that multiple objectives can be attuned suitably, to optimize the performance
in pass bands, stop bands and transition bands of IIR digital filters. The proposed method uses multiobjective optimization approach
for designing stable IIR filter using real-coded genetic algorithm (RCGA). Digital IIR filters are designed by minimizing magnitude
response and phase response simultaneously, using weighted sum approach. The value of weights are searched using RCGA along
with filter coefficients thus assigning different weight vector to each individual population thereby finding multiple pareto-optimal
solutions in one simulation run. The order of the filter is controlled by a control gene whose value is also optimized along with the
filter coefficients to obtain optimum order of designed IIR filter. The computational experiments show that the proposed approach gives
better digital IIR filters than the existing genetic algorithm based methods. |
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