Max-Min Fairness Power Control for Massive MU-MIMO Systems with Finite-Dimensional Channel Model

This paper considers a max-min fairness power control problem for the spectral efficiency of multiuser massive multiple-input multiple-output systems in a uplink transmission, where a base station receives data signals from the various users. A physical channel model in which the angular domain is separated into a finite number of distinct directions is also considered in this paper. Based on the large-scale fading coefficients, a power control method is formulated as an optimization problem in order to maximize the minimum spectral efficiency among the various users under the peak power constraint. This optimization problem is solved by employing a geometric program. The numerical results are conducted by two practical scenarios to evaluate the proposed power control method. In both scenarios, it has been shown that the proposed power control method is superior to other existing schemes in terms of minimum spectral efficiency.