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The problem of sum-rate maximization with minimum power consumption is studied for a Decode-and-Forward (DF) Multiple-Input Multiple-Output (MIMO) two-way relaying system consisting of two sources and one relay. Two scenarios are investigated. In the first scenario, the relay optimizes its own power allocation/beamforming strategy given that the strategies of the sources maximize the sum-rate of the Multiple-Access Channel (MAC) phase. In the second scenario, the relay and the sources jointly optimize their power allocation/beamforming strategies over both the MAC and BroadCasting (BC) phases.
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