  In this paper, we develop an innovative approach to quantitatively
characterize the performance of ultra-dense wireless networks in a plethora of
propagation environments. The proposed framework has the potential of
significantly simplifying the cumbersome procedure of analyzing the coverage
probability and allowing the remarkable unification of single- and
multi-antenna networks through compact representations. By harnessing this key
feature, we develop a novel statistical machinery to study the scaling laws of
wireless network densification considering general channel power distributions
including the entire space of multipath and shadowing models as well as
associated beamforming gain due to the use of multiple antenna. We further
formulate the relationship between network density, antenna height, antenna
array seize and carrier frequency showing how the coverage probability can be
maintained with ultra-densification. From a system design perspective, we
present a new innovative theoretical discovery stipulating that if multiple
antenna BS are deployed and moved to higher frequencies, then monotonically
increasing the coverage probability by means of ultra-densification is
possible, and this without lowering the antenna height. Such findings are
completely different from the conclusions in existing works, who suggest to
lower the BS height as to leverage the potential of network densification.
Simulation results substantiate performance trends leveraging network
densification and antenna deployment and configuration against path loss models
and signal-to-noise plus interference (SINR) thresholds.
