Some further results on blind identification of MIMO FIR channels via second-order statistics

In this paper, we consider the problem of blind multiple-input multiple-output (MIMO) finite impulse response (FIR) channel identification driven by spatially correlated signals. The second-order statistics (SOS) of the input sources are assumed known a priori. It is shown that under certain specified conditions, the MIMO FIR channel can be completely identified using the second-order statistics of the channel output. A SOS-based method is proposed and the proof for the uniqueness of the system solution is provided. As a special case, our proposed method can still entirely identify the MIMO channel even if the input source signals are spatially and temporally uncorrelated, given that the channel orders corresponding to each pair of users are different from each other. Extensive numerical simulation results are included to illustrate the performance of the proposed algorithm.