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A power allocation or scheduling problem is studied for a multiuser Multiple-Input Multiple-Output (MIMO) wireless relay system where there is a non-regenerative relay between one access point and multiple users. Each node in the system is equipped with multiple antennas. The purpose of this paper is to develop fast algorithms to compute the source covariance matrix (or matrices) and the relay transformation matrix to optimize a system performance. The authors consider the minimization of power consumption subject to rate constraint and also the maximization of system throughput subject to power constraint. These problems are no convex and apparently have no simple solutions.
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