Jointly minimum MSE transmitter and receiver FIR MIMO filters in the presence of near-end crosstalk and additive noise

A theory for jointly minimizing the mean square error (MSE) between the desired and decoded signal with respect to the transmitter and receiver FIR multiple-input multiple-output (MIMO) filters is developed in the presence of near-end crosstalk and two additive noise sources independent of the original signal. The additive noise sources account for noise at the input signal and on the channel. The transfer functions are known FIR MIMO transfer functions that can model the desired communication link and the undesired near-end crosstalk channel. The channel input vector time series is average power constrained. An iterative numerical optimization algorithm is proposed. When compared to the methods available in the literature, the proposed method yields better results due to the joint optimization of the transmitter-receiver pair, and is applicable to a more general scenario that may include correlated sources and near-end crosstalk.