Geometric Analysis of Large Wireless Networks: Interference, Outage, and Delay

大型无线网络的几何分析：干扰、中断和延迟马丁·亨吉，圣母大学摘要：大型无线系统，特别是自组织和传感器网络，具有巨大的应用潜力。在过去的十年里，他们一直是密集调查的对象。尽管做出了这些努力，但它们的许多基本特性仍然没有得到很好的理解，也不知道如何以最佳方式设计网络协议。在确定这些系统的容量标度行为方面已经取得了重要进展，但这些结果的渐近性质严重限制了它们在实际网络中的适用性。该项目通过对某些性能指标(包括可靠性和时延)的精确描述来补充此类规模研究。此外，一些标准的建模假设，例如均匀随机节点分布受到质疑，并且现有的结果被扩展到其他更好地反映具有交互节点的真实网络的节点分布。研究人员使用结合了随机几何、点过程理论、分支过程和信息论的工具的严格的分析方法。由于网络的几何形状对干扰和信噪比有很大的影响，因此重点研究了基本节点分布的几何特性。该项目重点研究了随机分布节点的大型网络中的干扰特征、链路中断以及端到端延迟和中断之间的权衡等几个具体问题。目标是分析确定或限制一般节点分布的这些量，并从获得的理论见解中推导出协议设计的指导方针。

Geometric Analysis of Large Wireless Networks:Interference, Outage, and DelayMartin Haenggi, University of Notre DameAbstract:Large wireless systems, in particular ad hoc and sensor networks, have great potential for numerous applications. They have been the subject of intense investigation over the last decade. Despite these efforts, many of their fundamental properties are still not well understood, and it is unknown how to design network protocols in an optimum fashion. Important progress has been made in determining the capacity scaling behavior of these systems, but the asymptotic nature of these results severely restricts their applicability to practical networks. This project complements such scaling studies by aiming at a precise characterization of certain performance metrics, including reliability and delay.Further, some of the standard modeling assumptions, such as the uniformly random node distribution are questioned, and existing results are extended to other node distributions that better reflect real networks with interacting nodes.The investigators use a rigorous analytic approach that combines tools from stochastic geometry, point process theory, branching processes, and information theory. Since the network geometry critically affects the interference and signal-to-noise-ratios, an emphasis is put on the geometric properties of the underlying node distribution. The project focuses on several concrete problems in interference characterization, link outage, and the tradeoff between end-to-end delay and outage in large networks with randomly distributed nodes. The objectives are to analytically determine or bound these quantities for general node distributions and to derive guidelines for protocol design from the theoretical insight gained.