Stochastic Analysis of Non-slotted Aloha in Wireless Ad-Hoc Networks

: In this paper we propose two analytically tractable stochastic models of non-slotted Aloha for Mobile Ad-hoc NETworks (MANETs): one model assumes a static pattern of nodes while the other assumes that the pattern of nodes varies over time. Both models feature transmitters randomly located in the Euclidean plane, according to a Poisson point process with the receivers randomly located at a fixed distance from the emitters. We concentrate on the so-called outage scenario, where a successful transmission requires a Signal-to-Interference-andNoise Ratio (SINR) larger than a given threshold. With Rayleigh fading and the SINR averaged over the duration of the packet transmission, both models lead to closed form expressions for the probability of successful transmission. We show an excellent matching of these results with simulations. Using our models we compare the performances of non-slotted Aloha to slotted Aloha studied in [6]. We observe that when the path loss is not very strong both ...

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Bartek Blaszczyszyn, Paul Mühlethaler
• Keywords: CORR 2010, Education, Non-slotted Aloha, Path Loss, Successful Transmission