  Vehicular networks allow vehicles to share information and are expected to be
an integral part in future intelligent transportation system (ITS). In order to
guide and validate the design process, analytical expressions of key
performance metrics such as packet reception probabilities and throughput are
necessary, in particular for accident-prone scenarios such as intersections. In
this paper, we analyze the impact of interference in an intersection scenario
with two perpendicular roads using tools from stochastic geometry. We present a
general procedure to analytically determine the packet reception probability
and throughput of a selected link, taking into account the geographical
clustering of vehicles close to the intersection. We consider both Aloha and
CSMA MAC protocols, and show how the procedure can be used to model different
propagation environments of practical relevance. We show how different path
loss functions and fading distributions can be incorporated in the analysis to
model propagation conditions typical to both rural and urban intersections. Our
results indicate that the procedure is general and flexible to deal with a
variety of scenarios. Thus, it can serve as a useful design tool for
communication system engineers, complementing simulations and experiments, to
obtain quick insights into the network performance.
