Information Flow Theory in Dense Wireless Networks

翻译后摘要：未来的无线网络是由大量的节点密集分布在大的地理区域。此类网络用于广域环境保护、运输、自动化农业或民用基础设施系统中的无线微传感等应用。由分布式源产生的信息通过转发彼此流量的节点的协同努力被传输到目的地;因此，信息在由许多跳组成的路由上扩散，每个跳都有助于短距离传输。对具有如此大量无线节点的网络的仔细分析涉及到令人望而却步的复杂性水平。这种复杂性是由于网络中每对节点之间的不协调交互（例如，由于同时传输的干扰）;结果，对大规模密集无线网络的行为知之甚少。信息流的空间连续模型是一个非常有前途的方法，以克服传统的离散空间方法的复杂性。该项目预计将产生功能强大的设计和分析工具，用于不同的目的，如最大限度地减少所需的无线节点的数量为给定的空间分布的信息源，找到最小所需的密度的节点在空间中，确定节点的位置，最小化节点的发射功率，负载平衡，该项目是一个重要的一步发展的理论信息流在密集的无线网络。这种理论是其他科学和工程分支（如流体动力学、热交换和静电学）的经典流动理论的无线网络对应物。

Abstract:Future wireless networks are composed of a massive number of nodes densely distributed in large geographical areas. Such networks are used in applications such as wide area environmental protection, transportation, automated agriculture, or wireless micro-sensing in civil infrastructure systems. Information generated by distributed sources is transported to the destinations by collaborative efforts of nodes that forward the traffic of each other; therefore, the information is diffused over routes composed of many hops, each contributing to a short range transmission. Careful analysis of the networks with such large number of wireless nodes involves a prohibitive level of complexity. This complexity is due to the uncoordinated interactions between each pair of nodes in the network (e.g., due to interference of simultaneous transmissions); as a result, little is known about the behavior of massively dense wireless networks.The introduced methodology models a dense wireless network by a continuum of nodes. The spatially continuous model of information flow is a very promising methodology to overcome the prohibitive complexity of conventional discrete space methods. The project is expected to produce powerful design and analysis tools for different purposes such as minimizing the number of required wireless nodes for a given spatial distribution of information sources, finding minimum required density of nodes in space, determining the placement of nodes, minimizing the transmit power of nodes, load balancing, etc. The project is an important step towards development of a theory of information flow in dense wireless networks. Such a theory is the wireless networking counterpart of the classical flow theory of other branches of science and engineering such as fluid dynamics, heat exchange, and electrostatics.