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In this paper, we investigate joint source precoding matrices and relayprocessing matrix design for multi-user multiple-inputmultiple-output~(MU-MIMO) non-regenerative relay networks in the presence ofthe direct source-destination~(S-D) links. We consider both capacity andmean-squared error~(MSE) criterions subject to the distributed powerconstraints, which are nonconvex and apparently have no simple solutions.Therefore, we propose an optimal source precoding matrix structure based on thepoint-to-point MIMO channel technique, and a new relay processing matrixstructure under the modified power constraint at relay node, based on which, anested iterative algorithm of jointly optimizing sources precoding and relayprocessing is established. We show that the capacity based optimal sourceprecoding matrices share the same structure with the MSE based ones. So doesthe optimal relay processing matrix. Simulation results demonstrate that theproposed algorithm outperforms the existing results.

Joint Source and Relay Design for Multi-user MIMO Non-regenerative Relay Networks with Direct Links