Optimal Power Allocation for MIMO Fully Cooperative Relay Broadcast Channels

We investigate a multiple input multiple output (MIMO) relay broadcast channel (RBC) with fully cooperation between users. A beamforming and combining design is proposed based on singular value decomposition (SVD) of the channel matrix between users. Then, users can simultaneously relay each other's information on the same frequency band with zero interference from each antenna's transmit signal on its received signal. Also, two optimal closed-form solutions are derived for power allocation (PA) under both total power and individual power constraints.