Area Spectral Efficiency Analysis and Energy Consumption Minimization in Multiantenna Poisson Distributed Networks

We obtain the expression and a lower-bound for area spectral efficiency (ASE) of single-tier Poisson distributed networks considering multiuser MIMO (MU-MIMO) transmission. With the help of the lower-bound, we observe some interesting results. These results are validated via numerical results for the original expression. We find that ASE can be viewed as a concave function with respect to the number of antennas and active users. For the purpose of maximizing ASE, we demonstrate that the optimal number of active users is a fixed portion of the number of antennas. With the optimal number of active users, we observe that ASE increases linearly with the number of antennas. Another contribution of this paper is joint optimization of the base station (BS) density, the number of antennas, and active users to minimize the network energy consumption. We demonstrate that the optimal combination of the number of antennas and active users is the solution that maximizes the energy-efficiency. Besides the optimal algorithm, we propose a suboptimal algorithm to reduce the computational complexity, which can achieve near-optimal performance.