Analytical approximations for interference and SIR densities in terahertz systems with atmospheric absorption, directional antennas and blocking
Analytical approximations for interference and SIR densities in terahertz systems with atmospheric absorption, directional antennas and blocking
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具有大气吸收、定向天线和阻塞的太赫兹系统中的干扰和 SIR 密度的解析近似
DOI：
10.1016/j.phycom.2017.10.018
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Y. Koucheryavy
中科院分区：
文献类型：
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作者：
D. Moltchanov;P. Kustarev;Y. Koucheryavy
研究人员面临着将随机几何框架应用于太赫兹(THz)通信系统分析的根本挑战。两个主要问题是主要的新传播模型，该模型现在包括了负责分子吸收和接收器周围人群对太赫兹辐射的阻挡的指数项。这些现象改变了来自单个节点的干扰的概率密度函数(Pdf)，使得它不再具有防止表征聚集的干扰和信干比(SIR)分布的解析拉普拉斯变换(LT)。在发射机和接收机上预期使用高方向性天线增加了这一问题，增加了建模工作的复杂性。在这篇文章中，我们考虑了ℜ-2中干扰的泊松部署，并给出了阻塞和非阻塞情况下随机选择节点的干扰pdf的精确解析近似。然后，我们推导出了聚集干扰和SIR的PDF的LTS。利用Talbot的逆变换算法，我们给出了数值结果，结果表明，未能捕获大气吸收、阻塞或天线方向性会导致显著的建模误差。最后，我们研究了SIR密度对各种系统参数的响应，突出了太赫兹通信系统的具体影响。本文所建立的模型可以作为实际太赫兹网络部署性能分析的构建块，提供中断和覆盖概率等度量。
Researchers face fundamental challenges applying the stochastic geometry framework to analysis of terahertz (THz) communications systems. The two major problems are the principally new propagation model that now includes exponential term responsible for molecular absorption and blocking of THz radiation by the human crowd around the receiver. These phenomena change the probability density function (pdf) of the interference from a single node such that it no longer has an analytical Laplace transform (LT) preventing characterization of the aggregated interference and signal-to-interference ratio (SIR) distributions. The expected use of highly directional antennas at both transmitter and receiver adds to this problem increasing the complexity of modeling efforts. In this paper, we consider Poisson deployment of interferers in ℜ 2 and provide accurate analytical approximations for pdf of interference from a randomly chosen node for blocking and non-blocking cases. We then derive LTs of pdfs of aggregated interference and SIR. Using the Talbot’s algorithm for inverse transform we provide numerical results indicating that failure to capture atmospheric absorption, blocking or antenna directivity leads to significant modeling errors. Finally, we investigate the response of SIR densities to a wide range of system parameters highlighting the specific effects of THz communications systems. The model developed in this paper can be used as a building block for performance analysis of realistic THz network deployments providing metrics such as outage and coverage probabilities.