  Initial deployments of millimeter wave (mmWave) cellular networks are likely
to be enabled with self-backhauling. In this work, we propose a random spatial
model to analyze uplink (UL) and downlink (DL) SINR distribution and mean rates
corresponding to different access-backhaul and UL-DL resource allocation
schemes in a self-backhauled mmWave cellular network with Poisson point process
(PPP) deployment of users and base stations. In particular, we focus on
heuristic implementations of static and dynamic time division duplexing (TDD)
for access links with synchronized or unsynchronized access-backhaul (SAB or
UAB) time splits. We propose PPP approximations to characterize the
distribution of the new types of interference encountered with dynamic TDD and
UAB. These schemes offer better resource utilization than static TDD and SAB,
however potentially higher interference makes their choice non-trivial and the
offered gains sensitive to different network parameters, including UL/DL
traffic asymmetry, user load per BS or number of slave BSs per master BS. One
can harness notable gains from UAB and/or dynamic TDD only if backhaul links
are designed to have much larger throughput than the access links.
