An unsupervised Gaussian cluster formation technique as a Bussgang blind deconvolution algorithm

A decision-directed-type blind equalization algorithm is reformulated. It is based on the unsupervised Gaussian cluster formation technique. It is shown that the end result is closely related to the Bussgang algorithm and its implementation simplicity compares to the Bussgang blind deconvolution algorithm. It is also shown that along with the new algorithm, popular algorithms such as the Sato, Godard, maximum-level-error (MLE), and Bussgang blind equalization algorithms can all be categorized as decision-directed-type blind equalization algorithms which use a nonlinear estimator at the output of the equalizer to generate a decision-directed estimated error.