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Mathematical Problems in Engineering
Volume 2014, Article ID 606843, 11 pages
http://dx.doi.org/10.1155/2014/606843
Research Article

Symbol Error Rate for Nonblind Adaptive Equalizers Applicable for the SIMO and FGn Case

Department of Electrical and Electronic Engineering, Ariel University, 40700 Ariel, Israel

Received 1 December 2013; Revised 5 February 2014; Accepted 6 February 2014; Published 11 March 2014

Academic Editor: Kue-Hong Chen

Copyright © 2014 Monika Pinchas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A nonzero residual intersymbol interference (ISI) causes the symbol error rate (SER) to increase where the achievable SER may not answer any more on the system’s requirements. Recently, a closed-form approximated expression was derived by the same author for the residual ISI obtained by nonblind adaptive equalizers for the single-input single-output (SISO) case. Up to now, there does not exist a closed-form expression for the residual ISI obtained by nonblind adaptive equalizers for the single-input multiple-output (SIMO) case. Furthermore, there does not exist a closed-form expression for the SER valid for the SISO or SIMO case that takes into account the residual ISI obtained by nonblind adaptive equalizers and is valid for fractional Gaussian noise (fGn) input where the Hurst exponent is in the region of . In this paper, we derive a closed-form approximated expression for the residual ISI obtained by nonblind adaptive equalizers for the SIMO case (where SISO is a special case of SIMO), valid for fGn input where the Hurst exponent is in the region of . Based on this new expression for the residual ISI, a closed-form approximated expression is obtained for the SER valid for the SIMO and fGn case.