The convergence time of a blind adaptive equalizer

In a typical communication system, the blind adaptive equalizer is followed by a decision device where we have to wait until the blind adaptive equalizer has converged to a residual inter-symbol interference (ISI) that makes the decision process of the decision device applicable and reliable. Up to now there is no algorithm that supplies without the knowledge of the initial ISI the convergence time of a blind adaptive equalizer where the blind adaptive equalizer leaves the system with a relative low residual ISI that makes the decision process of the decision device applicable. In this paper, we consider the two independent quadrature carrier input case and type of blind adaptive 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 the equalized output up to order three. We propose an algorithm that supplies without the knowledge of the initial ISI the convergence time of a blind adaptive equalizer that depends on the input signal statistics and properties of the chosen equalizer. It should be pointed out that the convergence time is supplied during the deconvolutional process. Simulation results confirm the efficiency of the proposed algorithm.