Novel approach for reducing the probability of error in the presence of intersymbol interference and Gaussian noise

M. M. Alkhatib; Mohammad S. Alam

doi:10.1117/1.2799510

1 October 2007 Novel approach for reducing the probability of error in the presence of intersymbol interference and Gaussian noise

M. M. Alkhatib, Mohammad S. Alam

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Optical Engineering, Vol. 46, Issue 10, 105003 (October 2007). https://doi.org/10.1117/1.2799510

Abstract

A novel method to reduce the probability of error in the presence of inter-symbol interference (ISI) and additive Gaussian noise is introduced. The proposed technique is based on modifying the characteristic function of the ISI variable used in the Beaulieu series method to evaluate the probability of error for binary symmetric channels, such that some pulses are omitted to reduce the effect of ISI. This is accomplished by mapping words of certain bit lengths to prescribed series of pulses where some of the pulses are omitted (zeros). The probability of error for the proposed method is evaluated for different word lengths using Gaussian pulses. Test results show that certain pulse series of lengths 12 or greater, with free distances of two or more and consisting of 30% zeros or more, would achieve lower probability of error in the presence of ISI and Gaussian noise.

©(2007) Society of Photo-Optical Instrumentation Engineers (SPIE)

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M. M. Alkhatib and Mohammad S. Alam "Novel approach for reducing the probability of error in the presence of intersymbol interference and Gaussian noise," Optical Engineering 46(10), 105003 (1 October 2007). https://doi.org/10.1117/1.2799510

Published: 1 October 2007

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KEYWORDS

Error analysis

Optical engineering

Binary data

Computer simulations

Algorithm development

Receivers

Computing systems

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