Pareto Region Characterization for Rate Control in MIMO Interference Systems and Nash Bargaining

Zengmao Chen, S. A. Vorobyov, Cheng-Xiang Wang, J. Thompson
2012 IEEE Transactions on Automatic Control  
In this note, the problem of rate control in multiuser multiple-input multiple-output (MIMO) interference systems is formulated as a multicriteria optimization (MCO) problem. The Pareto rate region of the MCO problem is ¿rst characterized by giving a suf¿cient condition for the convexity of the Pareto rate region. Second, various rate region convexi-¿cation approaches including a multistage interference cancellation and a full projection (FP)-based interference avoidance scheme are analyzed. An
more » ... me are analyzed. An achievable rate region based on FP is also given for MIMO interference systems. Third, Nash bargaining (NB) is applied to transform the MCO problem into a single-objective problem. The characteristics of the NB over MIMO interference systems such as the uniqueness and optimality of different type NB solutions are investigated. A method to determine the optimality of FP-and time-division multiplexing-based NB solutions is presented as well. Finally, the convexity of the rate region and the existence of the FP-based NB solution for MIMO interference systems are examined numerically. Index Terms-MIMO interference channel, multicriteria optimization (MCO), Nash bargaining, Pareto region. Manuscript
doi:10.1109/tac.2012.2197075 fatcat:nriuaulihne73eccfncmybthcy