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Interference and SINR coverage in spatial non-slotted Aloha networks

Bartlomiej Blaszczyszyn 1 Paul Muhlethaler 2
1 DYOGENE - Dynamics of Geometric Networks
DI-ENS - Département d'informatique - ENS Paris, Inria Paris-Rocquencourt, CNRS - Centre National de la Recherche Scientifique : UMR8548
Abstract : 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 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 the slotted one, which has almost exclusively been previously studied in the same context of mobile ad-hoc networks.
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Submitted on : Friday, November 14, 2014 - 12:10:46 PM
Last modification on : Tuesday, January 11, 2022 - 11:16:26 AM

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Bartlomiej Blaszczyszyn, Paul Muhlethaler. Interference and SINR coverage in spatial non-slotted Aloha networks. Annals of Telecommunications - annales des télécommunications, Springer, 2015, 70 (7), pp.345-358. ⟨10.1007/s12243-014-0455-2⟩. ⟨hal-01082772⟩



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