For a multi-user interference channel with multi-antenna transmitters andsingle-antenna receivers, by restricting each transmitter to Gaussian input andeach receiver to a single-user detector, computing the largest achievable rateregion amounts to solving a family of non-convex optimization problems.Recognizing the intrinsic connection between the signal power at the intendedreceiver and the interference power at the unintended receiver, the originalfamily of non-convex optimization problems is converted into a new family ofconvex optimization problems. It is shown that, for such interference channelswith each receiver implementing single-user detection, transmitter beamformingcan achieve all boundary points of the achievable rate region.
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