Design of Low-Pass Finite Impulse Response Pulse-Shaping Filter Using a Novel Self-Adaptive Differential Evolution Technique

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Abstract:

Differential Evolution (DE) algorithm has been proved to be very powerful evolutionary algorithm in recent years for global optimization in various real-parameter optimization problems. It involves very few number of control parameters and proper choice of those parameters is of paramount significance in various design problems. In this paper, we have designed a low pass Finite Impulse Response (FIR) filter by incorporating a self-adaptive technique in the conventional DE algorithm to optimize the values of two control parameters namely Weighting Factor (F) and Crossover Probability (CR) of DE. The results obtained by the self-adaptive DE technique have been compared with those obtained by the conventional DE technique. For this purpose, the convergence behavior of the optimization technique and the magnitude response of the FIR filter have been presented. The optimized FIR filter has also been used as a pulse-shaping filter in a QPSK modulated system to study its Bit Error Rate (BER) performance.

Keywords: AVERAGED COST FUNCTION; BER; CROSSOVER PROBABILITY; DE; FIR FILTER; WEIGHTING FACTOR

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/asl.2011.1863

Publication date: November 1, 2011

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  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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