基于Matern簇过程的NOMA-HetNet覆盖概率分析

doi:10.11959/j.issn.1000-436x.2020150

通信学报 ›› 2020, Vol. 41 ›› Issue (9): 147-159.doi: 10.11959/j.issn.1000-436x.2020150

基于Matern簇过程的NOMA-HetNet覆盖概率分析

景小荣^1,²,陈怡西¹,陈前斌^1,²

¹ 重庆邮电大学通信与信息工程学院，重庆 400065
² 重庆邮电大学移动通信技术重庆市重点实验室，重庆 400065

修回日期:2020-06-07 出版日期:2020-09-25 发布日期:2020-10-12
作者简介:景小荣（1974- ），男，甘肃平凉人，博士，重庆邮电大学教授、博士生导师，主要研究方向为无线通信系统信号与信息处理|陈怡西（1995- ），女，四川广安人，重庆邮电大学硕士生，主要研究方向为无线通信、信号处理|陈前斌（1967- ），男，四川营山人，博士，重庆邮电大学教授、博士生导师，主要研究方向为通信网理论与技术、无线通信、多媒体信息传输与处理
基金资助:
国家自然科学基金资助项目(61701062);重庆市基础与前沿研究计划基金资助项目(Chongqing Research Program of Basic Research and Frontier Technology)

Analysis of coverage probability in NOMA-HetNet based on Matern cluster process

Xiaorong JING^1,²,Yixi CHEN¹,Qianbin CHEN^1,²

¹ School of Communication and Information Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China
² Chongqing Key Lab of Mobile Communications Technology,Chongqing University of Posts and Telecommunications,Chongqing 400065,China

Revised:2020-06-07 Online:2020-09-25 Published:2020-10-12
Supported by:
The National Natural Science Foundation of China(61701062)

摘要/Abstract

摘要：

考虑到用户与基站间的相关性和网络的不规则性，建立了基于 Matern 簇过程（MCP）的非正交多址接入型异构网（NOMA-HetNet）模型，并结合该模型分析了各类用户的覆盖概率。在分析过程中，首先，从理论上推导出用户的信干噪比（SINR）；其次，针对现实中的非完美串行干扰消除（SIC）方案，给出了一种更符合实际情况的SINR上限更新规则；然后，利用空间坐标系、概率论、随机几何理论和顺序统计量等数学工具分析了各类用户关联概率和服务距离；最后，推导了各类用户覆盖概率的理论表达式。利用数值仿真分析了簇半径、基站密度和干扰残余因子对服务距离和覆盖概率的影响，取得了与理论分析相吻合的结果，验证了理论分析的正确性。

关键词: 非正交多址接入型异构网, Matern簇过程, 服务距离, 覆盖概率

Abstract:

Considering the correlation between the users and base stations and the network irregularity,the non-orthogonal multiple access heterogeneous networks (NOMA-HetNet) based on Matern cluster process (MCP) was modeled.The coverage probability of UEs was analyzed.Firstly,the signal-to-interference-plus-noise ratios (SINR) of UEs were theoretically derived.Secondly,an updating law for the upper limit of SINR was presented for the imperfect serial interference elimination (SIC) scheme,which was more consistent with the reality.Then,using the mathematical tools such as spatial coordinate system,probability theory,stochastic geometry theory and order statistics,the correlation probability and service distances of the different types of UEs were analyzed.Finally,the theoretical expression of the coverage probability of UEs was derived.The effects of cluster radius,base station density,interference residual factors on service distances,and coverage probability are verified by numerical simulations.The simulation results are consistent with the theoretical analysis,which testifies the correctness of the theoretical analysis.

Key words: NOMA-HetNet, MCP, service distance, coverage probability

中图分类号:

TN929.5

景小荣,陈怡西,陈前斌. 基于Matern簇过程的NOMA-HetNet覆盖概率分析[J]. 通信学报, 2020, 41(9): 147-159.

Xiaorong JING,Yixi CHEN,Qianbin CHEN. Analysis of coverage probability in NOMA-HetNet based on Matern cluster process[J]. Journal on Communications, 2020, 41(9): 147-159.

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参考文献 23

[1]	张平, 陶运铮, 张治 . 5G 若干关键技术评述[J]. 通信学报, 2016,37(7): 15-29.
	ZHANG P , TAO Y Z , ZHANG Z . Survey of several key technologies for 5G[J]. Journal on Communications, 2016,37(7): 15-29.
[2]	KAMEL M , HAMOUDA W , YOUSSEF A M ,et al. Ultra-dense networks:a survey[J]. IEEE Communications Surveys and Tutorials, 2016,18(4): 2522-2545.
[3]	DAI L , WANG B , YUAN Y ,et al. Non-orthogonal multiple access for 5G solutions,challenges,opportunities,and future research trends[J]. IEEE Communications Magazine, 2015,53(9): 74-81.
[4]	ZHANG Z , MA Z , XIAO M ,et al. Modeling and analysis of non-orthogonal MBMS transmission in heterogeneous networks[J]. IEEE Journal on Selected Areas in Communications, 2017,35(10): 2221-2237.
[5]	CUNHUA P , MAGED E , JIANGZHOU W ,et al. User-centric C-RAN architecture for ultra-dense 5G Networks:challenges and methodologies[J]. IEEE Communications Magazine, 2018,56(6): 14-20.
[6]	金明录, 郭楠 . 基于Thomas簇过程的异构蜂窝网能量效率分析[J]. 通信学报, 2019,40(10): 149-156.
	JIN M L , GUO N . Energy efficiency analysis of heterogeneous cellular network based on Thomas cluster process[J]. Journal on Communications, 2019,40(10): 149-156.
[7]	DHILLON H S , GANTI R K , BACCELLI F ,et al. Modeling and analysis of k-tier downlink heterogeneous cellular networks[J]. IEEE Journal on Selected Areas in Communications, 2012,30(3): 550-560.
[8]	3GPP.Study on scenarios and requirements for next generation access technologies:TR 38.913[R].(2016-10-04)[2020-04-28].
[9]	SAHA C , DHILLON H S , MIYOSHI N ,et al. Unified analysis of HetNets using poisson cluster processes under max-power association[J]. IEEE Transactions on Wireless Communications, 2019,18(8): 3797-3812.
[10]	SAHA C , AFSHANG M , DHILLON H S ,et al. Enriched k-tier HetNet model to enable the analysis of user-centric small cell deployments[J]. IEEE Transactions on Wireless Communications, 2017,16(3): 1593-1608.
[11]	AFSHANG M , DHILLON H S . A new clustered HetNet model to accurately characterize user-centric small cell deployments[C]// IEEE Wireless Communications and Networking Conference. Piscataway:IEEE Press, 2017: 1-6.
[12]	AFSHANG M , SAHA C , DHILLON H S ,et al. Nearest-neighbor and contact distance distributions for Thomas cluster process[J]. IEEE Wireless Communications Letters, 2017,6(1): 130-133.
[13]	AFSHANG M , SAHA C , DHILLON H S . Nearest-neighbor and contact distance distributions for Matérn cluster process[J]. IEEE Communications Letters, 2017,21(12): 2686-2689.
[14]	ZHANG Z , SUN H , HU R Q ,et al. Stochastic geometry based performance study on 5G non-orthogonal multiple access scheme[C]// IEEE Global Communications Conference. Piscataway:IEEE Press, 2016: 1-6.
[15]	ZHANG Z , SUN H , HU R Q ,et al. Downlink and uplink non-orthogonal multiple access in a dense wireless network[J]. IEEE Journal on Selected Areas in Communications, 2017,35(12): 2771-2784.
[16]	ALI K S , ELSAWY H , CHAABAN A ,et al. Analyzing non-orthogonal multiple access (NOMA) in downlink poisson cellular networks[C]// IEEE International Conference on Communications. Piscataway:IEEE Press, 2018: 1-6.
[17]	MARCANO A S , CHRISTIANSEN H L . Impact of NOMA on network capacity dimensioning for 5G HetNets[J]. IEEE Access, 2018,6: 13587-13603.
[18]	ZHAO J , LIU Y , CHAI K K ,et al. Spectrum allocation and power control for non-orthogonal multiple access in HetNets[J]. IEEE Transactions on Wireless Communications, 2017,16(9): 5825-5837.
[19]	NASSER A , MUTA O , ELSABROUTY M ,et al. Compressive sensing based spectrum allocation and power control for NOMA HetNets[J]. IEEE Access, 2019,7: 98495-98506.
[20]	XU B , CHEN Y , CARRION J R ,et al. Resource allocation in energy-cooperation enabled two-tier NOMA HetNets toward green 5G[J]. IEEE Journal on Selected Areas in Communications, 2017,35(12): 2758-2770.
[21]	HAENGGI M . On distances in uniformly random networks[J]. IEEE Transactions on Information Theory, 2005,51(10): 3584-3586.
[22]	DAVID H A , NAGARAJA H N . Order statistics[J]. International Encyclopedia of the Social and Behavioral Sciences, 2001,67(339): 10897-10901.
[23]	WANG Y , ZHU Q . Modelling and analysis of heterogeneous cellular networks using a matern cluster process[J]. IET Communications, 2017,11(18): 2783-2791.

参数名	数值	参数名	数值
MBS密度λ_m/ km^-2	1,2	簇半径R/ m	60,80,100
SBS密度λ_s/ km^-2	5λ _m	UE数量	4UE/SBS
MBS发射功率P_tm/ dBm	46	路径损耗指数α	4
SBS发射功率P_ts/ dBm	20	噪声功率σ²	0

基于Matern簇过程的NOMA-HetNet覆盖概率分析

Analysis of coverage probability in NOMA-HetNet based on Matern cluster process

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