Spatial Outage Capacity Analysis in Poisson Networks With Dynamic Traffic

With the diversification of wireless applications, the traffic patterns in the evolving wireless networks are becoming more dynamic and heterogeneous. Although numerous methods have been developed for spatio-temporal analysis, the impact of traffic patterns on spatial capacity has yet to be fully addressed. To this end, this paper studies the spatial outage capacity (SOC) in Poisson networks with Bernoulli traffic, which answers the question: “What is the maximum density of concurrently active links that satisfy a certain outage constraint?” We perform the analysis by integrating stochastic geometry with queueing theory and derive the meta distribution (MD) of signal-to-interference ratio (SIR). Unlike the conventional approaches that approximate the MDs by beta distributions, we consider the spatio-temporal correlations of the dominant interference exactly while treating the remaining interference in an average sense. Our analysis maintains tractability and achieves a highly accurate characterization of the SIR, especially for dense networks in the high-reliability regime that is particularly significant for network design. Moreover, we prove that the SOC in the high-reliability regime is achieved when all transmitters are always active. Simulations validate the accuracy of the theoretical results and show that the packet arrival rate has a marginal effect on the SOC as well as the corresponding SIR MD. We also show that the optimal density that maximizes the SOC is approximately inversely proportional to the packet arrival rate.