Max-min weighted SINR in coordinated multicell MIMO downlink
This paper studies the optimization of a multicell multiple-input-single-output (MISO) downlink system in which each base station serves multiple users, and each user is served by only one base station. First, we consider the problem of maximizing the minimum weighted signal-to-interference-plus-noise ratio (SINR) of all users subject to a single weighted-sum power constraint, where the weights can represent relative power costs of serving different users in each cell. We apply concave Perron-Frobenius theory to propose a joint power control and linear beamforming algorithm which converges geometrically fast to the optimal solution. As a by-product, we resolve an open problem of convergence of a previously proposed algorithm by Wiesel, Eldar, and Shamai in 2006. Next, we study the max-min weighted SINR problem subject to multiple weighted-sum power constraints and we show that it can be decoupled into its associated single-constrained subproblems.
© 2011 IEEE. The work in this paper is partially supported by the Research Grants Council of Hong Kong under Project No. RGC CityU 112909, CityU 7200183 and CityU 7008087, the NSF under Grant CNS-0911041, and the ARO under MURI Grant W911NF-08-1-0233.