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This paper studies the design of linear precoders via instantaneous rate maximization over a K-user multicast channel, wherein multiple antennas are present at the transmitter as well as at all the receivers. The authors first consider the scenario wherein the linear precoder can be any complex valued matrix subject to rank and power constraints. Recognizing the resulting optimization problem to be NP-hard, they propose a cyclic alternating ascent based algorithm and establish its convergence to a stationary point. Simulation results reveal that their proposed algorithm considerably outperforms known competing solutions.
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