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Characterizing the global maximum of Weighted Sum-Rate (WSR) for the K-user Gaussian Interference Channel (GIC), with the interference treated as Gaussian noise, is a key problem in wireless communication. However, due to the users' mutual interference, this problem is in general non-convex and thus cannot be solved directly by conventional convex optimization techniques. In this paper, by jointly utilizing the monotonic optimization and rate profile techniques, the authors develop a new framework to obtain the globally optimal power control and/or beam-forming solutions to WSR maximization problems for the GICs with Single-antenna transmitters and Single-antenna receivers (SISO), Single-antenna transmitters and Multi-antenna receivers (SIMO), or Multi-antenna transmitters and Single-antenna receivers (MISO).
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