A closed-form approximated expression for the achievable residual ISI obtained by blind adaptive equalizers in a SIMO FIR channel

Abstract

Recently, a closed-form approximated expression was derived by the same author for the achievable residual intersymbol interference (ISI) for the single-input single-output (SISO) case that depends on the step-size parameter, equalizer's tap length, input signal statistics, signal to noise ratio (SNR) and channel power. But, this expression is not valid for the single-input multiple-output (SIMO) case. In this paper, a closed-form approximated expression is derived for the achievable residual ISI for the SIMO case that depends on the step-size parameter, equalizer's tap length, input signal statistics, channel power, SNR and number of receive antennas. Since the channel power is measurable or can be calculated if the channel coefficients are given, there is no need anymore to carry out any simulation with various step-size parameters in order to reach the required residual ISI.