arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1509.03075cs.NI
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密集城市无线网络的三维随机几何建模

Modeling Dense Urban Wireless Networks with 3D Stochastic Geometry

Alexandre Mouradian

摘要:

在过去的十年中,已经提出了许多工作的无线网络建模使用随机几何。覆盖概率,吞吐量或平均干扰的结果,已经提供了各种各样的网络(蜂窝,ad-hoc,认知,传感器等)。这些结果特别允许调整网络协议参数。然而,在他们的绝大多数,这些作品假设无线网络部署是平坦的:节点被放置在欧几里德平面上。然而,这一假设在密集的城市环境中被推翻,其中许多节点部署在高层建筑物中。在这封信中,我们推导出覆盖概率的确切形式的情况下,其中的竞争者形成一个三维泊松点过程(PPP)和一个三维修改的Matern过程(MMP),并比较结果与二维情况。这封信的主要目标是表明,2D模型,虽然是最常见的,可以导致一个乐观或悲观的评估的覆盖概率取决于模型的参数。

英文摘要:

Over the past decade, many works on the modeling of wireless networks using stochastic geometry have been proposed. Results about probability of coverage, throughput or mean interference, have been provided for a wide variety of networks (cellular, ad-hoc, cognitive, sensors, etc). These results notably allow to tune network protocol parameters. Nevertheless, in their vast majority, these works assume that the wireless network deployment is flat: nodes are placed on the Euclidean plane. However, this assumption is disproved in dense urban environments where many nodes are deployed in high buildings. In this letter, we derive the exact form of the probability of coverage for the cases where the interferers form a 3D Poisson Point Process (PPP) and a 3D Modified Matern Process (MMP), and compare the results with the 2D case. The main goal of this letter is to show that the 2D model, although being the most common, can lead either to an optimistic or a pessimistic evaluation of the probability of coverage depending on the parameters of the model.

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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