On the admissibility of blind adaptive equalizers

Clarification is presented of the property that adaptive blind equalization algorithms may not always result in desired convergence. Those algorithms that can always converge (perhaps with the aid of a special initialization strategy) to desired equilibria offering an open eye pattern are classified as admissible. Various classes of existing blind equalization algorithms are described and the possibility of ill-convergence for these algorithms is illustrated. The general inadmissibility and the reason for earlier misconception regarding their admissibility development of new, admissible algorithms and certain initialization guidelines that can prevent weakly admissible algorithms from converging to undesirable equilibria is established