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In this paper, the authors consider a robust transceiver design for two hop non-regenerative Multiple-Input Multiple-Output (MIMO) relay networks with imperfect Channel State Information (CSI). The transceiver consists of Tomlinson Harashima Pre-coding (THP) at the source with a linear pre-coder at the relay and linear equalisation at the destination. Under the assumption that each node in the network can acquire statistical knowledge of the channel in the form of a channel mean and estimation error covariance, they optimise the processors to minimise the expected arithmetic Mean Square Error (MSE) subject to transmission power constraints at the source and relay. Simulation results demonstrate the robustness of the proposed transceiver design to channel estimation errors.
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