Meta Distribution Analysis of the Downlink SIR for the Typical Cell in a Poisson Cellular Network
Meta Distribution Analysis of the Downlink SIR for the Typical Cell in a Poisson Cellular Network
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DOI：
10.1109/globecom38437.2019.9013286
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发表时间：
2019-12
期刊：
影响因子：
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通讯作者：
P. Mankar;Harpreet S. Dhillon;M. Haenggi
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文献类型：
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作者：
P. Mankar;Harpreet S. Dhillon;M. Haenggi
基于随机几何的下行链路分析的蜂窝网络建模为泊松点过程（PPP）传统上集中在典型的用户放置在原点，这并不在于典型的小区。为了表征典型小区的性能，需要明确地考虑在给定资源块（RB）中调度的用户的点过程，这取决于基站（BS）点过程。因此，我们使用所谓的I型用户过程，其中放置一个用户均匀地随机在每个单元格中的预定用户的位置进行建模。然而，BS和用户的位置中的这种依赖性使I型过程的典型用户所看到的对中继器的点过程的表征复杂化。为了克服这一挑战，我们提出了一种通用的方法来确定平稳点过程相对于参考点的对相关函数（pcf）。这种方法是用来近似的pcf点过程的制造商相对于典型的用户的类型I的过程。与pcf在手，我们提供了已知的最紧密的近似的点过程的干扰BS看到的典型用户的类型I过程，这是用来推导出显着紧密的表达式的时刻的下行链路信号干扰比（SIR）Meta分布的典型小区。
The stochastic geometry-based downlink analysis of a cellular network modeled as a Poisson point process (PPP) has traditionally focused on the typical user placed at the origin, which does not lie in the typical cell. In order to characterize the performance of the typical cell, one needs to explicitly consider the point process of users scheduled in a given resource block (RB), which is dependent on the base station (BS) point process. Therefore, we model the locations of the scheduled users using the so-called Type I user process, which places one user uniformly at random in each cell. However, this dependency in the locations of the BSs and users complicates the characterization of the point process of interferers as seen by the typical user of the Type I process. In order to overcome this challenge, we present a general approach to determine the pair correlation function (pcf) of stationary point processes with respect to a reference point. This approach is used to approximate the pcf the point process of interferers with respect to the typical user of the Type I process. With the pcf in hand, we provide the tightest known approximation of the point process of interfering BSs as seen by the typical user of Type I process, which is used to derive remarkably tight expressions for the moments of the downlink signal-to-interference- ratio (SIR) meta distribution for the typical cell.