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In this letter, a novel linear transmission strategy to design the linearprecoding matrix~(PM) at base station~(BS) and the beamforming matrix~(BM) atrelay station~(RS) for multiple-input multiple-output~(MIMO) relaying broadcastchannels with direct channel (DC) is proposed, in which a linear PM is designedat BS based on DC, and the RS utilizes the PM, the backward channel and theforward channel to design the linear BM. We then give a quite tight lower boundof the achievable sum-rate of the network with the proposed strategy to measurethe performance. The sum-rates achieved by the proposed strategy is comparedwith other schemes without considering the DC in design in simulations, whichshows that the proposed strategy outperforms the existing methods when RS isclose to BS.

Efficient Linear Transmission Strategy for MIMO Relaying Broadcast Channels with Direct Links