Cross-correlation based multichannel blind equalization

Blind equalization is the problem of reconstructing a signal from a filtered version of it, without, knowledge of the signal nor the filter. A novel cross-correlation based framework is proposed for the problem of blind equalization in communications. We assume that we have access to two observations, corresponding to the outputs of two channels excited by the same input. We propose a new algorithm which estimates the channels using as a basic tool the phase of the cross spectrum of functions of the observations. The proposed method is computationally attractive, requires small input sample sizes, and performs well in low signal-to-noise ratios.