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arXiv 1807.04848cs.ITmath.IT
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D2D毫米波网络的Poisson簇过程建模与分析

Modeling and Analysis of D2D Millimeter-Wave Networks with Poisson Cluster Processes

Wenqiang Yi, Yuanwei Liu, Arumugam Nallanathan

摘要:

本文研究了集群式设备到设备(D2 D)网络中毫米波(mmWave)通信的性能。D2 D收发器的位置被建模为泊松聚类过程(PCP)。在每个集群中,设备配备有多个天线,并且有源D2 D发射机(D2 D-Tx)利用毫米波来服务于邻近的D2 D接收机(D2 D-Rx)之一。具体地,我们介绍了三种用户关联策略:1)均匀分布的D2 D-Tx模型; 2)最近的D2 D-Tx模型; 3)最近的站点线(LOS)D2 D-Tx模型。为了表征所考虑的情况下的性能,我们推导出新的解析表达式的覆盖概率和区域频谱效率(ASE)。此外,为了有效地说明我们的系统的一般趋势,一个封闭的形式的下界的特殊情况下,干扰的簇内LOS链路推导。我们提供了Monte Carlo仿真来证实理论结果,并表明:1)覆盖概率主要受LOS链路的簇内干扰的影响; 2)每个簇中存在最佳数量的同时活动的D2 D-Tx以最大化ASE;以及3)最近LOS模型优于其他两种情况,但以额外的系统开销为代价。

英文摘要:

This paper investigates the performance of millimeter wave (mmWave) communications in clustered device-to-device (D2D) networks. The locations of D2D transceivers are modeled as a Poisson Cluster Process (PCP). In each cluster, devices are equipped with multiple antennas, and the active D2D transmitter (D2D-Tx) utilizes mmWave to serve one of the proximate D2D receivers (D2D-Rxs). Specifically, we introduce three user association strategies: 1) Uniformly distributed D2D-Tx model; 2) Nearest D2D-Tx model; 3) Closest line-of-site (LOS) D2D-Tx model. To characterize the performance of the considered scenarios, we derive new analytical expressions for the coverage probability and area spectral efficiency (ASE). Additionally, in order to efficiently illustrating the general trends of our system, a closed-form lower bound for the special case interfered by intra-cluster LOS links is derived. We provide Monte Carlo simulations to corroborate the theoretical results and show that: 1) The coverage probability is mainly affected by the intra-cluster interference with LOS links; 2) There exists an optimum number of simultaneously active D2D-Txs in each cluster for maximizing ASE; and 3) Closest LOS model outperforms the other two scenarios but at the cost of extra system overhead.

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