Interference in spatial non-slotted Aloha networks

Bartek Blaszczyszyn (1) , Paul Mühlethaler (2)

1 DYOGENE - Dynamics of Geometric Networks
2 HIPERCOM2 - High PERformance COMmunications

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 same context of mobile ad-hoc networks.

Mots clés: Pure (non-slotted) Aloha; Slotted Aloha; SINR; Shot-Noise; MAC Layer Optimization; Throughput; Stochastic geometry; Poisson point process.; Poisson point process

Domaines: Réseaux et télécommunications [cs.NI]

Bartek Blaszczyszyn, Paul Mühlethaler. Interference in spatial non-slotted Aloha networks. 2014. ⟨hal-00947129⟩