The Inhomogeneous Double Thinning (IDT) approach is a tractable and general approximation for analyzing cellular networks in which the locations of the base stations are spatially correlated. Usually, however, the parameters of the approximation depend on the intensity and the specific parameters of the point process. Therefore, it is often difficult to unveil the impact of the system parameters from the resulting analytical framework. In this letter, we focus our attention on spatially repulsive cellular networks, and introduce a new parameterization for the IDT approach that is suitable for analysis. By assuming a bounded path-loss model, we prove the following trends for the Mean Interference-to-Signal Ratio (MISR): (i) the MISR monotonically decreases as the path-loss exponent increases and the deployment density of the base stations decreases; and (ii) the difference between the MISRs of Poisson and non-Poisson cellular networks monotonically decreases as the path-loss exponent increases and the density of the base stations decreases. As case studies, we specialize the proposed parametrization to the $\beta $ -Ginibre and square lattice point processes. We prove, in particular, that the MISR monotonically decreases as $\beta $ increases. These findings are shown to be in agreement with Monte Carlo simulations, and with numerical and analytical studies reported in prior works, thus substantiating the validity of the proposed parametrization.

中文翻译：

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空间相关蜂窝网络中的平均干扰信号比

非均匀双细化 (IDT) 方法是一种易于处理的通用近似方法，用于分析基站位置在空间上相关的蜂窝网络。然而，通常近似的参数取决于强度和点过程的具体参数。因此，通常很难从由此产生的分析框架中揭示系统参数的影响。在这封信中，我们将注意力集中在空间排斥蜂窝网络上，并为适合分析的 IDT 方法引入了新的参数化。通过假设有界路径损耗模型，我们证明了平均干扰信号比 (MISR) 的以下趋势： (i) 随着路径损耗指数的增加和基站部署密度的降低，MISR 单调减小; (ii) 泊松和非泊松蜂窝网络的 MISR 之间的差异随着路径损耗指数的增加和基站密度的减小而单调减小。作为案例研究，我们将建议的参数化专门用于 $\beta $ -Ginibre 和方形格点过程。我们特别证明了 MISR 随着 $\beta $ 的增加而单调减少。这些发现表明与蒙特卡罗模拟以及先前工作中报告的数值和分析研究一致，从而证实了所提出的参数化的有效性。我们将建议的参数化专门用于 $\beta $ -Ginibre 和方形格点过程。我们特别证明了 MISR 随着 $\beta $ 的增加而单调减少。这些发现表明与蒙特卡罗模拟以及先前工作中报告的数值和分析研究一致，从而证实了所提出的参数化的有效性。我们将建议的参数化专门用于 $\beta $ -Ginibre 和方形格点过程。我们特别证明了 MISR 随着 $\beta $ 的增加而单调减少。这些发现表明与蒙特卡罗模拟以及先前工作中报告的数值和分析研究一致，从而证实了所提出的参数化的有效性。