  Compared with conventional regular hexagonal cellular models, random cellular
network models resemble real cellular networks much more closely. However, most
studies of random cellular networks are based on the Poisson point process and
do not take into account the fact that adjacent base stations (BSs) should be
separated with a minimum distance to avoid strong interference among each
other. In this paper, based on the hard core point process (HCPP), we propose a
multi-user multi-antenna random cellular network model with the aforementioned
minimum distance constraint for adjacent BSs. Taking into account the effects
of small scale fading and shadowing, interference and capacity models are
derived for the multi-user multi-antenna HCPP random cellular networks.
Furthermore, a spectrum efficiency model as well as an energy efficiency model
is presented, based on which, the maximum achievable energy efficiency of the
considered multi-user multiantenna HCPP random cellular networks is
investigated. Simulation results demonstrate that the energy efficiency of
conventional Poison point process (PPP) cellular networks is underestimated
when the minimum distance between adjacent BSs is ignored.
