Min-max fair coordinated beamforming via large systems analysis: The two-cell case

In [1], we considered base station (BS) cooperation in the form of coordinated beamforming, focusing on min-max fairness in the power usage subject to target SINR constraints: optimal beamforming strategies were characterized, and it was shown that in the asymptotic regime where the number of antennas at each BS and that of users in each cell both grow large with their ratios held constant, the dimensionality of the optimization is greatly reduced. In the present paper, we focus on the two cell case, for which feasibility conditions are established and the asymptotic problem solution is reduced to a simple single parameter search.