Owing to its unparalleled tractability, the Poisson point process (PPP) has emerged as a popular model for the analysis of cellular networks. Considering a stationary point process of users, which is independent of the base station (BS) point process, it is well known that the typical user does not lie in the typical cell and thus may not truly represent the typical cell performance. Inspired by this observation, we present a construction that allows a direct characterization of the downlink performance of the typical cell. For this, we present an exact downlink analysis for the 1-D case and a remarkably accurate approximation for the 2-D case. Several useful insights about the differences and similarities in the two viewpoints (typical user vs. typical cell) are also provided.

中文翻译：

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泊松蜂窝网络中典型小区的下行分析

由于其无与伦比的易处理性，泊松点过程 (PPP) 已成为分析蜂窝网络的流行模型。考虑到用户的驻点过程，独立于基站（BS）点过程，众所周知，典型用户并不位于典型小区内，因此可能不能真实代表典型小区性能。受这一观察的启发，我们提出了一种结构，可以直接表征典型小区的下行链路性能。为此，我们为一维情况提供了精确的下行链路分析，并为二维情况提供了非常准确的近似值。还提供了一些关于两种观点（典型用户与典型小区）的差异和相似之处的有用见解。