Robust transceiver design based on switched preprocessing for K -pair MIMO interference channels

In this work, the authors propose a transceiver design strategy based on switched preprocessing (SP) for interference management in K -pair MIMO interference channels. Each transmitter performs SP by using a small number of permutation matrices to allocate the entries of its precoder output vector on different transmit antennas. Each arrangement of permutation matrices among the K transmitters gives rise to a set of K parallel point-to-point transceivers, referred to as MIMO latent transceiver set (MLTS). Based on the given channel state information (CSI), the optimum MLTS among the available ones is chosen by minimising the squared Euclidean distance between the pre-estimated noiseless received vector and the true transmit symbol vector. In addition, they consider two CSI error models, i.e. the stochastic error model and the norm-bounded error model, and for each type they propose robust algorithms for the design of the MLTS associated to the different choices of permutation matrices, which are based on minimising various types of mean square error criteria. A detailed study of computational complexity for the proposed SP-based MIMO transceiver design algorithms is carried out. Simulation results verify the effectiveness of the new SP-based designs for MIMO interference channels.