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In this paper, we consider the amplify-and-forward relay networks in mmWavesystems and propose a hybrid precoder/combiner design approach. The phase-onlyRF precoding/combining matrices are first designed to support multi-streamtransmission, where we compensate the phase for the eigenmodes of the channel.Then, the baseband precoders/combiners are performed to achieve the maximummutual information. Based on the data processing inequality for the mutualinformation, we first jointly design the baseband source and relay nodes tomaximize the mutual information before the destination baseband receiver. Theproposed low-complexity iterative algorithm for the source and relay nodes isbased on the equivalence between mutual information maximization and theweighted MMSE. After we obtain the optimal precoder and combiner for the sourceand relay nodes, we implement the MMSE-SIC filter at the baseband receiver tokeep the mutual information unchanged, thus obtaining the optimal mutualinformation for the whole relay system. Simulation results show that ouralgorithm achieves better performance with lower complexity compared with otheralgorithms in the literature. In addition, we also propose a robust jointtransceiver design for imperfect channel state information.

MmWave Amplify-and-Forward MIMO Relay Networks with Hybrid Precoding/Combining Design