Within the framework of 5G, blockage effects occurring in the mmWave band are critical. These blockages can be statistically modeled with mathematical tools such as stochastic geometry and random shape theory. In the literature, there are studies describing the effects of blockages in both isolated and multiple links for simple blocking objects. Our study considers a scenario in which there are N links and takes into account the possible correlation among them in terms of blocking by extending previous works to more general blocking objects. This paper also applies the formulation developed for the case of N links to optimize the relay positioning in mmWave cells for coverage enhancement, that is, to minimize in average the probability of blockage within the cell, which is another contribution of this work. The paper includes numerical evaluations that highlight the fact that considering independence among the blocking elements of the links is a too brief simplification and does not describe accurately the real scenario. We also show the effect of taking into account more realistic blocking objects than those considered so far in the literature and the impact of the positioning of the relays on the coverage.

中文翻译：

---

毫米波蜂窝系统中的阻塞分析：在中继定位中的应用

在 5G 框架内，毫米波频段中发生的阻塞效应至关重要。这些堵塞可以使用数学工具（例如随机几何学和随机形状理论）进行统计建模。在文献中，有研究描述了对简单阻塞对象的隔离和多链路阻塞的影响。我们的研究考虑了一个场景，其中有 N 个链接，并通过将以前的工作扩展到更一般的阻塞对象来考虑它们之间在阻塞方面可能的相关性。本文还应用为 N 链路情况开发的公式来优化毫米波小区中的中继定位以增强覆盖范围，即平均最小化小区内的阻塞概率，这是本文的另一个贡献。该论文包含的数值评估强调了这样一个事实，即考虑链路阻塞元素之间的独立性过于简单化，并没有准确描述真实场景。我们还展示了考虑比目前文献中考虑的更现实的阻塞对象的效果以及中继定位对覆盖范围的影响。