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arXiv 1002.1629cs.NImath.PR
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无线Ad-Hoc网络中非时隙Aloha的随机分析

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

Bartek Blaszczyszyn, Paul Muhlethaler

摘要:

在本文中,我们提出了两个分析听话的随机模型的非时隙的Aloha移动自组织网络(MANDO):一个模型假设一个静态模式的节点,而另一个假设的模式随时间变化的节点。这两种模型的特点发射机随机位于欧几里德平面,根据泊松点过程与接收器随机位于一个固定的距离从发射器。我们专注于所谓的中断情况下,成功的传输需要一个信号干扰噪声比(SINR)大于给定的阈值。随着瑞利衰落和平均的SINR的持续时间的数据包传输,这两个模型导致成功传输的概率的封闭形式的表达式。我们显示了一个很好的匹配这些结果与模拟。使用我们的模型,我们比较了非开槽Aloha的性能,以前研究的开槽Aloha。我们观察到,当路径损耗不是很强的两个模型,适当优化时,表现出类似的性能。对于较强的路径损耗,非时隙Aloha的性能不如时隙Aloha,但是当路径损耗指数等于4时,其成功接收的分组密度仍然是时隙方案中的75%。这仍然远远超过了50%的预测由著名的分析,其中同时传输是永远不会成功的。此外,在任何路径损耗的情况下,这两种方案表现出相同的能量效率。

英文摘要:

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-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 previously studied slotted Aloha. 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 75% of that in the slotted scheme. This is still much more than the 50% 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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