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Arbitrary unicast transmission over MIMO multi-way relay channel with imperfect CSI

In this paper, we investigate the design of relay processing for arbitrary unicast transmission over a multi-way relay channel, where each user employing a single antenna communicates with the other user via a relay station having multiple antennas. The proposed relay processing approach is based on the idea of network coding and the minimum mean-square-error (MMSE) based optimization with relay power constraints. Moreover, iterative algorithms to solve the optimization problem are proposed under the scenarios of both perfect and imperfect channel state information (CSI) at the relay station. Numerical simulation results show that the proposed relay processing algorithms can outperform existing schemes under the perfect CSI assumption, and that the worst-case sum mean-square-error (MSE) could be reduced effectively under the imperfect CSI scenario.