In this paper, we develop an innovative approach to quantitatively characterize the performance of ultra-dense wireless networks in a plethora of propagation environments. The proposed framework has the potential of simplifying the cumbersome procedure of analyzing the coverage probability and allowing the unification of single- and multi-antenna networks through compact analytical representations. By harnessing this key feature, we develop a novel statistical machinery to study the scaling laws of wireless networks densification considering general channel power distributions including small-scale fading and shadowing as well as associated beamforming and array gains due to the use of multiple antenna. We further formulate the relationship between network density, antenna height, antenna array seize and carrier frequency showing how the coverage probability can be maintained with ultra-densification. From a system design perspective, we show that, if multiple antenna base stations are deployed at higher frequencies, monotonically increasing the coverage probability by means of ultra-densification is possible, and this without lowering the antenna height. Simulation results substantiate performance trends leveraging network densification and antenna deployment and configuration against path loss models and signal-to-noise plus interference thresholds.

中文翻译：

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超密集网络中的覆盖分析和缩放定律

在本文中，我们开发了一种创新方法来定量表征超密集无线网络在过多传播环境中的性能。所提出的框架有可能简化分析覆盖概率的繁琐程序，并允许通过紧凑的分析表示统一单天线和多天线网络。通过利用这一关键特征，我们开发了一种新颖的统计机制来研究无线网络密集化的缩放规律，考虑到一般信道功率分布，包括小规模衰落和阴影以及由于使用多天线而产生的相关波束成形和阵列增益。我们进一步制定了网络密度、天线高度之间的关系，天线阵列捕获和载波频率显示了如何通过超密度保持覆盖概率。从系统设计的角度，我们表明，如果在更高频率上部署多个天线基站，则可以通过超密集化单调增加覆盖概率，并且不会降低天线高度。仿真结果证实了利用网络密集化和天线部署和配置对路径损耗模型和信噪比加干扰阈值的性能趋势。这不会降低天线高度。仿真结果证实了利用网络密集化和天线部署和配置对路径损耗模型和信噪比加干扰阈值的性能趋势。这不会降低天线高度。仿真结果证实了利用网络密集化和天线部署和配置对路径损耗模型和信噪比加干扰阈值的性能趋势。