  A new accurate analysis is presented for an OFDM-based multicast-broadcast
single-frequency network (MBSFN). The topology of the network is modeled by a
constrained random spatial model involving a fixed number of base stations
placed over a finite area with a minimum separation. The analysis is driven by
a new closed-form expression for the conditional outage probability at each
location of the network, where the conditioning is with respect to the network
realization. The analysis accounts for the diversity combining of signals
transmitted by different base stations of a given MBSFN area, and also accounts
for the interference caused by the base stations of other MBSFN areas. The
analysis features a flexible channel model, accounting for path loss, Nakagami
fading, and correlated shadowing. The analysis is used to investigate the
influence of the minimum base-station separation and provides insight regarding
the optimal size of the MBSFN areas. In order to highlight the percentage of
the network that will fail to successfully receive the broadcast, the area
below an outage threshold (ABOT) is here used and defined as the fraction of
the network that provides an outage probability (averaged over the fading) that
meets a threshold.
