A blind fractionally spaced equalizer using higher order statistics

In this paper, we introduce a new blind fractionally spaced equalizer based on the fourth-order statistics of the input symbol sequence. The input symbol sequence is assumed to come from an independent identically distributed finite alphabet with nonzero fourth-order cumulants. We formulate the equalizer as a column vector and compute it by simultaneously diagonalizing a set of matrices obtained from the fourth-order cross-cumulants of the input and output of the equalizer. Simulation results show that this equalizer works well with a short symbol sequence, even if the channel time span is not accurately estimated.