Interference and SINR coverage in spatial non-slotted Aloha networks
In this paper, we propose two analytically tractable stochastic-geometric models of interference in ad hoc networks using pure (non-slotted) Aloha as the medium access. In contrast to the slotted model, the interference in pure Aloha may vary during the transmission of a tagged packet. We develop closed-form expressions for the Laplace transform of the empirical average of the interference experienced during the transmission of a typical packet. Both models assume a power-law path-loss function with arbitrarily distributed fading and feature configurations of transmitters randomly located in the Euclidean plane according to a Poisson point process. Depending on the model, these configurations vary over time or are static. We apply our analysis of the interference to study the signal-to-interference-and-noise ratio (SINR) outage probability for a typical transmission in pure Aloha. The results are used to compare the performance of non-slotted Aloha to slotted Aloha, which has almost exclusively been previously studied in the context of wired networks.
sinr slotted aloha pure (non-slotted) aloha poisson point process shot noise mac layer optimization throughput stochastic geometry