Energy Efficiency Maximizing with Power Allocation for Multi-user MIMO Systems Based on GZI Precoding

This paper investigates the problem of energy efficiency with power allocation for multi-user MIMO systems. Based on a practical power consumption model, the optimal transmit powers of the MU-MIMO downlink system are derived in the form of analytical expressions in order to maximize energy efficiency with satisfying quality of service requirements. Reducing the dimensions of variables and applying the properties of the Lambert function to solve the equations with the log function, this study solves the highly complicated optimization problem by deliberately manipulating the Lagrange function. Hence, a closed-form solution to the energy efficiency maximization problem for MU-MIMO systems is eventually achieved. Simulation results validate the efficacy of the proposed optimization scheme.