双跳中继协作异构网络中断概率分析
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摘要
基于最大-最大用户对级联(MM-UPA)准则,研究双跳中继协作异构网络的中断性能。借助随机几何和概率统计数学工具,将网络节点空间位置建模为齐次泊松点过程,以推导双跳中继协作异构网络中断概率的解析表达式。在此基础上,针对中断门限和偏置因子对系统中断概率的影响进行仿真与分析,结果表明,当系统部署MM-UPA方案时,增大第k(k≥2)层网络的偏置因子,能够有效降低第1层网络的中断概率,提高系统稳定性。此外,相比双跳网络,单跳网络的中断概率更小,系统稳定性更高。
Based on the Maximum-Maximum User Pair Association(MM-UPA) criterion,the outage performance of two-hop relay cooperative heterogeneous networks is studied.By means of stochastic geometry and probability statistics,the spatial location of network nodes is modeled as a Homogeneous Poisson Point Process(HPPP),and the analytical expression of outage probability in two-hop relay cooperative heterogeneous networks is derived.On this basis,the impact of outage threshold and bias factor on system outage probability is simulated and analyzed.Results show that when the system deploys MM-UPA scheme,increasing the bias factor of tier k(k≥2) can effectively reduce the outage probability of tier 1 and improve system stability.In addition,the outage probability of single-hop network is smaller and the system stability is higher than that of two-hop networks.
Based on the Maximum-Maximum User Pair Association(MM-UPA) criterion,the outage performance of two-hop relay cooperative heterogeneous networks is studied.By means of stochastic geometry and probability statistics,the spatial location of network nodes is modeled as a Homogeneous Poisson Point Process(HPPP),and the analytical expression of outage probability in two-hop relay cooperative heterogeneous networks is derived.On this basis,the impact of outage threshold and bias factor on system outage probability is simulated and analyzed.Results show that when the system deploys MM-UPA scheme,increasing the bias factor of tier k(k≥2) can effectively reduce the outage probability of tier 1 and improve system stability.In addition,the outage probability of single-hop network is smaller and the system stability is higher than that of two-hop networks.
引文
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[2] HO H M T.Interference management in 5G cellular networks[EB/OL].[2018-01-20].https://opus.lib.uts.edu.au/bitstream/10453/102703/2/02whole.pdf.
[3] 贾向东,颉满刚,周猛.基于带内回程的全双工大规模MIMO异构网覆盖分析[J].计算机工程,2017,43(7):124-128.
[4] LIU D,WANG L,CHEN Y,et al.User association in 5G networks:a survey and an outlook[J].IEEE Communications Surveys and Tutorials,2016,18(2):1018-1044.
[5] AHMAD S A,DATLA D.Distributed power allocations in heterogeneous networks with dual connectivity using backhaul state information[J].IEEE Transactions on Wireless Communications,2015,14(8):4574-4581.
[6] ZHANG J,ZENG Q,MAHMOODI T,et al.LTE small cell enhancement by dual connectivity[EB/OL].[2018-01-20].https://www.wwrf.ch/files/wwrf/content/files/publications/outlook/Outlook15.pdf.
[7] JHA S C,SIVANESAN K,VANNITHAMBY R,et al.Dual connectivity in LTE small cell networks[C]//Proceedings of 2014 IEEE Globecom Workshops.Washington D.C.,USA:IEEE Press,2014:1205-1210.
[8] ZHOU T,HUANG Y,YANG L.User association with jointly maximising downlink sum rate and minimising uplink sum power for heterogeneous cellular networks[J].IET Communications,2015,9(2):300-308.
[9] SEMIARI O,SAAD W,VALENTIN S,et al.Matching theory for priority-based cell association in the downlink of wireless small cell networks[C]//Proceedings of 2014 IEEE International Conference on Acoustics,Speech and Signal Processing.Washington D.C.,USA:IEEE Press,2014:444-448.
[10] 颉满刚,贾向东,周猛,等.多层中继协作HetNets用户对关联方案[J].计算机工程,2017,43(9):133-137.
[11] STOYAN D,CHIU S N,KENDALL W S,et al.Stochastic geometry and its applications[J].Journal of the Royal Statistical Society,2013,45(2):340-345.
[12] LEE H,SONG C,CHOI S H,et al.Outageprobability analysis and power splitter designs for SWIPT relaying systems with direct link[J].IEEE Communications Letters,2017,21(3):648-651.
[13] HASAN M K,ISMAIL A F,HASHIM W,et al.Outage probability analysis of Co-Tier interference in hetero-geneous network[EB/OL].[2018-01-20].https://www.thefreelibrary.com/Outage+Probability+Analysis+of+Co-Tier+Interference+in+Heterogeneous…-a0515382319.
[14] 孙立悦,赵晓晖,虢明.基于中断概率的协作通信中继选择与功率分配算法[J].通信学报,2013,34(10):84-91.
[15] JO H S,SANG Y J,XIA P,et al.Heterogeneous cellular networks with flexible cell association:a comprehensive downlink SINR analysis[J].IEEE Transactions on Wireless Communications,2012,11(10):3484-3495.
[16] GRADSHTEYN I S,RYZHIK I M.Table of integrals,series,and products[M].San Diego,USA:Acdemic Press,2007.