On the capacity of multiuser MIMO networks with interference

Maximizing the total mutual information of multiuser multiple-input multiple-output (MIMO) systems with interference is a challenging problem. In this paper, we consider the power control problem of finding the maximum sum of mutual information for a multiuser network with mutually interfered MIMO links. We propose a new and powerful global optimization method using a branch-and-bound (BB) framework, coupled with a novel reformulation-linearization technique (RLT). The proposed BB/RLT guarantees finding a global optimum for multiuser MIMO networks with interference. To reduce the complexity of BB/RLT, we propose a modified BB variable selection strategy to accelerate the convergence process. Numerical examples are also given to demonstrate the efficacy of the proposed solution.

[1]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[2]  Wei Yu,et al.  Iterative water-filling for Gaussian vector multiple-access channels , 2001, IEEE Transactions on Information Theory.

[3]  Hanif D. Sherali,et al.  A global optimization algorithm for polynomial programming problems using a Reformulation-Linearization Technique , 1992, J. Glob. Optim..

[4]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms, 3/E. , 2019 .

[5]  A. Robert Calderbank,et al.  Space-Time Codes for High Data Rate Wireless Communications : Performance criterion and Code Construction , 1998, IEEE Trans. Inf. Theory.

[6]  Rick S. Blum,et al.  Optimized signaling for MIMO interference systems with feedback , 2003, IEEE Trans. Signal Process..

[7]  Hanif D. Sherali,et al.  Global optimization of nonconvex factorable programming problems , 2001, Math. Program..

[8]  Siavash M. Alamouti,et al.  A simple transmit diversity technique for wireless communications , 1998, IEEE J. Sel. Areas Commun..

[9]  A. Goldsmith,et al.  Sum power iterative water-filling for multi-antenna Gaussian broadcast channels , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

[10]  Raghupathy Sivakumar,et al.  Routing in ad-hoc networks with MIMO links , 2005, 13TH IEEE International Conference on Network Protocols (ICNP'05).

[11]  Mary Ann Ingram,et al.  Power-controlled capacity for interfering MIMO links , 2001, VTC Fall.

[12]  Rick S. Blum MIMO capacity with interference , 2003, IEEE J. Sel. Areas Commun..

[13]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[14]  Katta G. Murty,et al.  Nonlinear Programming Theory and Algorithms , 2007, Technometrics.

[15]  Mary Ann Ingram,et al.  Stream control in networks with interfering MIMO links , 2003, WCNC.

[16]  R. Michael Buehrer,et al.  Greedy scheduling performance for a zero-forcing dirty-paper coded system , 2006, IEEE Transactions on Communications.

[17]  Warren P. Adams,et al.  A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems , 1998 .

[18]  Holger Boche,et al.  Performance Analysis of Capacity of MIMO Systems under Multiuser Interference Based on Worst-Case Noise Behavior , 2004, EURASIP J. Wirel. Commun. Netw..

[19]  Andrea J. Goldsmith,et al.  Capacity limits of MIMO channels , 2003, IEEE J. Sel. Areas Commun..

[20]  Larry J. Greenstein,et al.  Simulation results for an interference-limited multiple-input multiple-output cellular system , 2000, IEEE Commun. Lett..

[21]  M. J. Gans,et al.  MIMO communications in ad hoc networks , 2006, IEEE Transactions on Signal Processing.