Upper Bounds on Lifetime of Ordinary Clustering Ultra Wide Band Sensor Networks

Abstract

考虑了En</em> 个传感节点和一个Sink 组成的跳时脉冲无线电超宽带(time hopping impulse radio ultra wideband,简称TH-IR UWB)传感网,其中,n 个传感节点均匀且独立地分布在正方形上.分别推导了常规分簇的密集和扩展TH-IR UWB 传感网的生存期上界.常规分簇网络的簇头仅对本簇内的节点发送的数据进行融合,而对其他簇头发送的数据仅转发.研究结果表明,常规分簇密集TH-IR UWB 传感网的生存期上界与节点密度(或节点数)成正比,扩展网络的生存期上界与部署区域大小(或节点数)成反比.研究结果也表明,对于密集网络,理想情形下的生存期上界比静态网络提高了(<em>n</em>/log<em>n</em>)^1/2 倍;而对于扩展网络,理想情形下生存期的上界比静态网络提高了(<em>λn</em>/log(<em>λn</em>))^1/2 倍.因此,节点或Sink 在正方形内随机移动能够提高传感网生存期.;This paper considers the time hopping impulse radio ultra wide band (TH-IR UWB) sensor networks, with <em>n</em> sensor nodes uniformly and independently located on a square and a Sink. The upper bounds on the lifetime of ordinary clustering dense and extended TH-IR UWB sensor networks are derived respectively. For ordinary clustering networks, the cluster head aggregates data from the nodes within its own cluster, and relays data to other cluster heads. The results indicate that the upper bounds on the lifetime of ordinary clustering dense TH-IR UWB are in proportion with the node density (or the number of nodes), while the upper bounds on the lifetime of extended networks are inversely proportional to the size of the deployment area (or the number of nodes). The results also reveal that the upper bound on the lifetime of dense network in the ideal case are longer than those of the static network by a factor of (<em>n</em>/log <em>n</em>)^1/2, and the upper bound on the lifetime of extended network in the ideal case are longer than those of the static network by a factor of (<em>λn</em>/log(<em>λn</em>))^1/2. Therefore, sensor nodes, or the Sink moving randomly in the square, can improve the lifetime of ordinary clustering TH-IR UWB sensor network.