  Millimeter-wave systems are characterized by the use of highly directional
antennas and the presence of blockages, which significantly alter the path-loss
and small-scale fading parameters. The received power of each interferer
depends on the direction it points and whether it is line-of-sight (LOS),
non-LOS (i.e., partially blocked), or completely blocked. While interferers
that are sufficiently far away will almost certainly be completely blocked, a
finite number of interferers in close proximity will be subject to random
partial blockages. Previous attempts to characterize mmWave networks have made
the simplifying assumption that all interferers within some radius, called the
LOS ball, are unblocked, while interferers beyond that radius are non-LOS.
However, compared to simulation results, the LOS ball assumption tends to
overestimate outage. In this paper, we present an accurate yet tractable
analysis of finite mmWave networks that dispenses with the LOS ball assumption.
In the analysis, each interferer has a distribution that is selected randomly
from several possibilities, each representing different blockage and
directivity states. First, the exact outage probability is found for a finite
network with interferers in fixed locations. Then, the spatially averaged
outage probability is found by averaging over the interferer locations. While
the focus is on device-to-device networks, the analysis is general enough to
find applications outside of the present mmWave framework.
