  In this paper, a mathematical framework for the analysis of average symbol
error probability (ASEP) in millimeter wave (mmWave) cellular networks with
Poisson Point Process (PPP) distributed base stations (BSs) is developed using
tools from stochastic geometry. The distinguishing features of mmWave
communications such as directional beamforming and having different path loss
laws for line-of-sight (LOS) and non-line-of-sight (NLOS) links are
incorporated in the average error probability analysis. First, average pairwise
error probability (APEP) expression is obtained by averaging pairwise error
probability (PEP) over fading and random shortest distance from mobile user
(MU) to its serving BS. Subsequently, average symbol error probability is
approximated from APEP using the nearest neighbor (NN) approximation. ASEP is
analyzed for different antenna gains and base station densities. Finally, the
effect of beamforming alignment errors on ASEP is investigated to get insight
on more realistic cases.
