基于随机几何的无线中继网络上行链路精细化性能分析  

Fine-grained Performance Analysis of Uplink in Wireless Relay Network Based on Stochastic Geometry

作　　者：孙海华[1] 周思源 谭国平 张芝 SUN Hai-hua;ZHOU Si-yuan;TAN Guo-ping;ZHANG Zhi(School of Computer and Information,Hohai University,Nanjing 211100,China;Jiangsu Intelligent Transportation and Intelligent Driving Research Institute,Nanjing 210019,China)

机构地区：[1]河海大学计算机与信息学院,南京211100 [2]江苏智能交通及智能驾驶研究院,南京210019

出　　处：《计算机科学》2021年第2期64-69,共6页Computer Science

基　　金：国家自然科学基金(61701168,61832005);中央高校基本科研业务费(2019B15614);中国博士后科研基金(2019M651546);江苏省交通运输科技项目(2018Y45)。

摘　　要：无线网络用户呈现数量剧增、分布灵活多变的趋势,而传统蜂窝网络的拓扑结构已不能满足所有用户的服务需求。为改善小区边缘区域的上行覆盖率,构建了一种基于随机几何的无线中继网络模型,其中基站服从泊松点过程分布,中继节点围绕基站服从截断式聚类过程分布。在此网络中,中继节点通过放大转发策略将小区边缘用户的数据上传至基站。为了精细化分析网络模型的性能,文中基于信干比理论推导出每跳链路的条件覆盖率的矩,从而获得信干比meta分布的解析表达式,即条件覆盖率的分布。相比传统的针对覆盖率期望值的性能分析,基于信干比meta分布的分析能够揭示出条件覆盖率大于一定阈值的网络用户比例。实验仿真结果验证了所推导出的理论表达式的正确性。另外,通过调整中继节点分布的半径以及方差参数等,研究了中继节点的分布参数对信干比meta分布的影响。最后,通过比较上行功率控制的功率补偿因子对网络覆盖率的影响,为后期研究网络性能优化提供了帮助。As the number of wireless network users increases dramatically,the network topology of traditional cellular networks can’t meet the performance requirements of all users.In order to improve the uplink coverage probability in the cell-edge area,an uplink amplify-and-forward(AF)relay network model in which relays are deployed around the base station is established.The base stations and relays are respectively modeled as the Poisson point process(PPP)and the truncated Thomas cluster process(TCP),and relay node amplifies and forwards the data of cell-edge users to the base station.We drive a fine-grained performance analysis of the network model,i.e.,SIR meta distribution which is the distribution of the conditional coverage probability(CCP).The moments of the CCP in the relays network are analytically derived and the approximation of SIR meta distribution is presented in semiclosed-form expression.In contrast to the conventional performance analysis based on the coverage probability,meta distribution can intuitively show the proportion of uplinks in the network whose CCP is greater than a certain value.And the accuracy of the theoretical analysis is verified by simulations.Besides,the effect of the relay distribution parameters on the meta distribution is studied by adjusting the parameters of the relay distribution,such as radius and variance.Finally,the effects of power compensation factor of the uplink power control on the network coverage probability are compared,which provides help for the later research on network performance optimization.

关 键 词：中继网络 meta分布 覆盖率 随机几何 功率控制 

分 类 号：TN925[电子电信—通信与信息系统]