AN APPROXIMATED EXPRESSION FOR THE CONVERGENCE TIME OF ADAPTIVE BLIND EQUALIZERS

Monika Pinchas

2011

Abstract

In this paper, closed-form approximated expressions are proposed for the convergence time (or number of iterations required for convergence) and for the Intersymbol Interference (ISI) as a function of time valid during the stages of the iterative deconvolution process. The new derivations are valid for the noiseless, real and two independent quadrature carrier case and for type of blind equalizers where the error that is fed into the adaptive mechanism which updates the equalizer’s taps can be expressed as a polynomial function of order three of the equalized output like in Godard’s algorithm. Up to now, the equalizer’s performance (convergence time and ISI as a function of time) could be obtained only via simulation when the channel coefficients were known. The new proposed expressions are based on the knowledge of the initial ISI and channel power (which is measurable) and eliminate the need to carry out any more the above mentioned simulation.

Paper Citation

in Harvard Style

Pinchas M. (2011). AN APPROXIMATED EXPRESSION FOR THE CONVERGENCE TIME OF ADAPTIVE BLIND EQUALIZERS . In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8425-74-4, pages 411-414. DOI: 10.5220/0003529204110414

in Bibtex Style

@conference{icinco11,
author={Monika Pinchas},
title={AN APPROXIMATED EXPRESSION FOR THE CONVERGENCE TIME OF ADAPTIVE BLIND EQUALIZERS},
booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2011},
pages={411-414},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003529204110414},
isbn={978-989-8425-74-4},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - AN APPROXIMATED EXPRESSION FOR THE CONVERGENCE TIME OF ADAPTIVE BLIND EQUALIZERS
SN - 978-989-8425-74-4
AU - Pinchas M.
PY - 2011
SP - 411
EP - 414
DO - 10.5220/0003529204110414