In this paper, a novel Poisson hole process (PHP) modeling of wireless networks is proposed. Contrary to the prior PHP models with circular-shaped holes, we utilized circular sector holes in a random direction to capture the spatial separation between tiers in a millimeter wave (mmWave) heterogeneous cellular network (HCN). In this case, small cell base stations and macrocell base stations are distributed as a PHP and Poisson point process (PPP). Using tools from stochastic geometry, we derive approximate analytical expressions by regarding the effect of one or several holes on coverage probability. Simulation results reveal that compared to conventional PPP-modeling of HCNs, the proposed approaches can provide about 2–3 dB more accurate analysis in terms of signal-to-interference-and-noise ratio coverage probability. Moreover, some interesting insights about the effect of holes on coverage probability and the relation between proposed hole configuration and prior models with circular holes is discovered. It turns out that the analysis based on the proposed PHP model can provide a more general study than prior works.

在本文中，提出了一种新颖的无线网络的泊松孔过程（PHP）建模。与以前的带有圆形孔的PHP模型相反，我们在随机方向上使用了圆形扇形孔来捕获毫米波（mmWave）异构蜂窝网络（HCN）中各层之间的空间间隔。在这种情况下，小型小区基站和宏小区基站作为PHP和泊松点过程（PPP）分发。使用来自随机几何的工具，我们通过考虑一个或几个孔洞对覆盖率的影响得出近似的分析表达式。仿真结果表明，与传统的HCN PPP建模相比，所提出的方法在信噪比覆盖率方面可以提供大约2-3 dB的更准确分析。此外，发现了一些关于孔洞对覆盖率的影响以及拟议的孔洞构造与现有圆形孔洞模型之间关系的有趣见解。事实证明，基于所提出的PHP模型进行的分析比以前的工作可以提供更广泛的研究。