Blind identification and equalization of FIR MIMO channels by BIDS

This paper presents an algorithm of blind identification and equalization of finite-impulse-response and multiple-input and multiple-output (FIR MIMO) channels driven by colored signals. This algorithm is an improved realization of a concept referred to as blind identification via decorrelating subchannels (BIDS). This BIDS algorithm first constructs a set of decorrelators which decorrelate the output signals of subchannels, and then estimates the channel matrix using the transfer functions of the decorrelators, and finally recovers the input signals using the estimated channel matrix. This BIDS algorithm in general assumes that the channel matrix is irreducible and the input signals are mutually uncorrelated and of sufficiently diverse power spectra. However, for channel matrix identification, this BIDS algorithm only requires the channel matrix to be nonsingular (ie, full rank almost everywhere as opposed to everywhere) and column-wise coprime. Such a channel matrix may have zeros and be of non-minimum phase