Spatial Modeling and Analysis of Cellular Networks Using the Ginibre Point Process: A Tutorial
Spatial Modeling and Analysis of Cellular Networks Using the Ginibre Point Process: A Tutorial
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DOI：
10.1587/transcom.2016nei0001
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发表时间：
2016-06
期刊：
影响因子：
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通讯作者：
N. Miyoshi;T. Shirai
中科院分区：
文献类型：
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作者：
N. Miyoshi;T. Shirai
空间随机模型已广泛应用于无线通信网络的性能分析。这是因为无线网络的性能取决于无线节点的空间配置，而真实无线网络中节点位置的不规则性可以通过空间点处理来捕捉。大多数关于无线网络空间随机模型的研究都采用齐次泊松点过程作为无线节点位置的模型。虽然这种采用使模型在分析上易于处理，但它假设无线节点彼此独立定位，并且忽略它们的空间相关性。最近，作者提出采用决定性点过程之一的Ginibre点过程作为蜂窝网络中基站（BSs）的部署模型。行列式点过程是斥力点过程的一类，由于其有趣的数学性质和有效的模拟方法而受到人们的关注。在本教程中，我们将简要介绍Ginibre点流程及其变体$\alpha$-Ginibre点流程，作为蜂窝网络中BS部署的模型，并展示使用$\alpha$-Ginibre部署的BS对蜂窝网络模型进行性能分析的一些现有结果。作者希望读者使用这些点过程作为分析未来蜂窝网络中出现的各种问题的工具。
Spatial stochastic models have been much used for performance analysis of wireless communication networks. This is due to the fact that the performance of wireless networks depends on the spatial configuration of wireless nodes and the irregularity of node locations in a real wireless network can be captured by a spatial point process. Most works on such spatial stochastic models of wireless networks have adopted homogeneous Poisson point processes as the models of wireless node locations. While this adoption makes the models analytically tractable, it assumes that the wireless nodes are located independently of each other and their spatial correlation is ignored. Recently, the authors have proposed to adopt the Ginibre point process---one of the determinantal point processes---as the deployment models of base stations (BSs) in cellular networks. The determinantal point processes constitute a class of repulsive point processes and have been attracting attention due to their mathematically interesting properties and efficient simulation methods. In this tutorial, we provide a brief guide to the Ginibre point process and its variant, $\alpha$-Ginibre point process, as the models of BS deployments in cellular networks and show some existing results on the performance analysis of cellular network models with $\alpha$-Ginibre deployed BSs. The authors hope the readers to use such point processes as a tool for analyzing various problems arising in future cellular networks.