Interference alignment in clustered ad hoc networks: High reliability regime and per-cluster aloha

Wireless networks are fundamentally limited by the intensity of the received signals and the mutual interference caused by many concurrent transmissions. We consider large wireless ad hoc networks whose underlying node distribution is a Poisson cluster process. Under the assumption that multiple antennas are available at each node, we evaluate the performance of interference alignment (IA) inside each cluster. We extend our previous analysis of the outage probability achieved by this technique by generalizing it to IA with receive diversity. Furthermore, we provide a simplified expression applicable at high Signal-to-Interference Ratio, along the lines of the analysis recently proposed by Ganti, Andrews and Haenggi.