Coverage probability of uplink millimeter wave cellular network with non-homogeneous interferers' point process

Mariam Hira; Ahmed Irfan; Aslam Muhammad Imran

摘要

In this paper, we have derived stochastic geometry based generalized mathematical expressions for the uplink signal-to-interference-plus-noise-ratio (SINR) coverage probability, rate coverage probability and area spectral efficiency (ASE) of millimeter wave cellular network. The locations of base stations (BSs) and the user equipments (UEs) are modeled as two independent homogeneous Poisson Point Process (PPP) while location of interfering UEs is modeled as non-homogeneous PPP (non-HPPP). To model distinct line-of-sight (LOS) and non-line-of-sight (NLOS) propagation characteristics due to signal blockage at millimeter wave frequencies, a distance-dependent path loss model is employed and directional beamforming with antenna radiation pattern having Gaussian main lobe is considered. Minimum path loss based user association scheme is assumed for coverage analysis. The derived expressions are validated through simulations. It has been found that the SINR coverage probability and ASE increases with the increasing base station density at first, then decreases as the network becomes denser and eventually collapse as the density is further increased. Also, rate coverage probability decreases as the network goes dense. Hence, an optimum value of base station density can be determined that maximizes SINR coverage probability and area spectral efficiency. The analysis is also simplified for dense network using LOS ball blockage model. We have compared coverage probability estimate using homogeneous and non-homogeneous PPP model of interferer, where it is shown that for dense network both models have similar performance whereas for low density network, our non-homogeneous PPP model gives better coverage performance. (C) 2021 Elsevier B.V. All rights reserved.

机译：在本文中，我们具有从毫米波蜂窝网络的上行链路信号到干扰 - 加噪声比（SINR）覆盖概率（SINR）覆盖概率（SINR）覆盖概率（SINR）覆盖概率，速率覆盖概率和面积谱效率（ASE）的转换几何数学表达式。基站（BSS）和用户设备（UE）的位置被建模为两个独立的均匀泊松点处理（PPP），而干扰UE的位置被建模为非均匀PPP（非HPPP）。为了模拟不同的视线（LOS）和非瞄准线（NLOS）传播特性，由于信号堵塞以毫米波频率，采用距离依赖性路径损耗模型和具有天线辐射图案的定向波束形成高斯主叶被认为是。假设基于最小路径损耗的用户关联方案用于覆盖分析。通过模拟验证衍生的表达式。已经发现，在第一的基站密度开始时，SINR覆盖概率和ASE增加，然后随着网络变得更加浓度并且最终折叠，因为密度进一步增加。此外，随着网络变密，率覆盖概率降低。因此，可以确定基站密度的最佳值，最大化SINR覆盖概率和面积光谱效率。使用LOS Ball阻塞模型，还简化了分析。我们使用均匀和非均质PPP干扰型模型进行了比较覆盖概率估计，其中显示用于密集的网络两种型号具有类似的性能，而对于低密度网络，我们的非均质PPP模型提供了更好的覆盖性能。（c）2021 Elsevier B.v.保留所有权利。

Coverage probability of uplink millimeter wave cellular network with non-homogeneous interferers' point process

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