The important role that channel equalizers play in digital communication sys­ tems is well known. Many different approaches to the optimization and estimation of channel equalizers have been investigated. As a majority of communication sys­ tems often struggle with limited bandwidth constraint, it is desirable for the receiver to obtain optimum channel equalizers without consuming much channel bandwidth. By eliminating training data and maximizing channel capacity for true information transmission, blind channel equalization presents a bandwidth efficient solution to distortion compensation. Its importance also lies in the practical need for some communication receivers to equalize unknown channels without the assistance and the expense of training sequences. Compared with the more traditional approach of training based equalization, blind equalization is a theoretically challenging problem that is gaining appeal.