On Max-Min SINR with MMSE Processing for Uplink Cell-Free Massive MIMO.

The problem of max-min signal-to-interference plus noise ratio (SINR) for uplink transmission of cell-free massive multiple-input multiple-output (MIMO) system is considered. We assume that the system is employed with local minimum mean square error (L-MMSE) detection. The objective is to preserve user fairness by solving max-min rate optimization problem, by optimizing transmit power of each user equipment (UE) and weighting coefficients at central processing unit (CPU), subject to a transmit power constraint at each UE. This problem is not jointly convex. Hence, we decompose original problem into two subproblems, particularly for optimizing power allocation and weight coefficients. Then, we propose an iterative algorithm to solve these two subproblems alternately. Weight coefficient subproblem is solved in the form of generalized eigen value problem while power allocation subproblem is solved by approximating as geometric programming (GP) problem.