Optimum MIMO transmit-receiver design in presence of interference

In presence of channels that respond to transmitter diversity to maximize the output SINR, it becomes necessary to jointly optimize the transmit signal vector and the receiver bank of filters in presence of signal dependent interference and noise. This multichannel matched transmitter-receiver structure is superior to its scalar counterpart, several aspects of the signal dependent interference spectrum are brought to light in this case. The cross-interference spectral matrices in fact contain much more information compared to the single channel case, and despite the highly nonlinear nature of the problem, it is possible to derive a closed form solution for the optimum matched receiver filter bank. In addition, an iterative algorithm that appears to converge for all SINR is proposed to determine the optimum transmit signal vector.