On the Optimality of Beamforming for Multi-User MISO Interference Channels with Single-User Detection

For a multi-user interference channel with multi-antenna transmitters and single-antenna receivers, by restricting each receiver to a single-user detector, computing the largest achievable rate region amounts to solving a family of nonconvex optimization problems. Recognizing the intrinsic connection between the signal power at the intended receiver and the interference power at the unintended receiver, the original family of non-convex optimization problems is converted into a new family of convex optimization problems. It is shown that, for such interference channels with each receiver implementing single-user detection, transmitter beamforming can achieve all boundary points of the achievable rate region.

[1]  Gerhard Kramer,et al.  A New Outer Bound and the Noisy-Interference Sum–Rate Capacity for Gaussian Interference Channels , 2007, IEEE Transactions on Information Theory.

[2]  Hua Wang,et al.  Gaussian Interference Channel Capacity to Within One Bit , 2007, IEEE Transactions on Information Theory.

[3]  Xiaohu Shang.  On the capacity of Gaussian interference channels , 2008 .

[4]  A. Ostrowski,et al.  A QUANTITATIVE FORMULATION OF SYLVESTER'S LAW OF INERTIA, II. , 1959, Proceedings of the National Academy of Sciences of the United States of America.

[5]  Venugopal V. Veeravalli,et al.  Gaussian Interference Networks: Sum Capacity in the Low-Interference Regime and New Outer Bounds on the Capacity Region , 2008, IEEE Transactions on Information Theory.

[6]  Erik G. Larsson,et al.  Complete Characterization of the Pareto Boundary for the MISO Interference Channel , 2008, IEEE Transactions on Signal Processing.

[7]  Mehul Motani,et al.  On The Han–Kobayashi Region for theInterference Channel , 2008, IEEE Transactions on Information Theory.

[8]  Te Sun Han,et al.  A new achievable rate region for the interference channel , 1981, IEEE Trans. Inf. Theory.

[9]  Wei Yu,et al.  An introduction to convex optimization for communications and signal processing , 2006, IEEE Journal on Selected Areas in Communications.

[10]  Amir K. Khandani,et al.  Capacity bounds for the Gaussian Interference Channel , 2008, 2008 IEEE International Symposium on Information Theory.

[11]  Biao Chen,et al.  Achievable Rate Region for Downlink Beamforming in the Presence of Interference , 2007, 2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers.

[12]  V. Veeravalli,et al.  On the sum capacity of MIMO interference channel in the low interference regime , 2008, 2008 42nd Asilomar Conference on Signals, Systems and Computers.