  Spatial interference alignment among a finite number of users is proposed as
a technique to increase the probability of successful transmission in an
interference limited clustered wireless ad hoc network. Using techniques from
stochastic geometry, we build on the work of Ganti and Haenggi dealing with
Poisson cluster processes with a fixed number of cluster points and provide a
numerically integrable expression for the outage probability using an
intra-cluster interference alignment strategy with multiplexing gain one. For a
special network setting we derive a closed-form upper bound. We demonstrate
significant performance gains compared to single-antenna systems without local
cooperation.
