Title: Energy Efficient Power Allocation in Massive MIMO Systems based on Standard Interference Function,
Abstract: In this paper, energy efficient power allocation for downlink massive MIMO
systems is investigated. A constrained non-convex optimization problem is
formulated to maximize the energy efficiency (EE), which takes into account the
quality of service (QoS) requirements. By exploiting the properties of
fractional programming and the lower bound of the user data rate, the
non-convex optimization problem is transformed into a convex optimization
problem. The Lagrangian dual function method is utilized to convert the
constrained convex problem into an unconstrained convex one. Due to the
multi-variable coupling problem caused by the intra-user interference, it is
intractable to derive an explicit solution to the above optimization problem.
Exploiting the standard interference function, we propose an implicit iterative
algorithm to solve the unconstrained convex optimization problem and obtain the
optimal power allocation scheme. Simulation results show that the proposed
iterative algorithm converges in just a few iterations, and demonstrate the
impact of the number of users and the number of antennas on the EE.