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

机译：无线临时网络中非开槽ALOHA的随机分析

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In this paper we propose two analytically tractable stochastic models of non-slotted Aloha for Mobile Ad-hoc NET-works (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-and-Noise 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 models, when appropriately optimized, exhibit similar performance. For stronger path loss non-slotted Aloha performs worse than slotted Aloha, however when the path loss exponent is equal to 4 its density of successfully received packets is still 75percent of that in the slotted scheme. This is still much more than the 50percent predicted by the well-known analysis where simultaneous transmissions are never successful. Moreover, in any path loss scenario, both schemes exhibit the same energy efficiency.
机译：在本文中，我们提出了两个用于移动ALOHA的两种分析易易诊的随机型号，用于移动ad-hoc net-works（船只）：一个模型假设节点的静态模式，而另一个模型假定节点的模式随时间变化而变化。这两个模型都具有随机位于欧几里德平面中的发射器，根据泊松点处理，接收器随机位于距发射器的固定距离。我们专注于所谓的停电场景，其中成功的传输需要大于给定阈值的信号到干扰和噪声比（SINR）。对于瑞利衰落和SINR在数据包传输的持续时间内平均，两种型号都会导致闭合形式表达式，以实现成功传输的概率。我们通过模拟显示出这些结果的出色匹配。使用我们的型号，我们将非开槽Aloha的性能进行比较[6]中研究的弧形Aloha。我们观察到，当路径损耗不是非常强的两个模型时，在适当优化时，表现出类似的性能。对于较强的路径损失，非开槽的Aloha的性能比开槽Aloha更差，但是当路径损耗指数等于4时，其成功接收的分组的密度仍然是开槽方案中的75平方。这仍然远远超过由众所周知的分析预测的50平方米，其中同时传输永远不会成功。此外，在任何路径损耗方案中，两种方案都表现出相同的能量效率。

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