Despite the widespread popularity of stochastic geometry analysis for cellular networks, most analytical results lack the perspective of channel-adaptive user scheduling. This study presents a stochastic geometry analysis of the SINR distribution and scheduling gain of normalized SNR-based scheduling in an uplink Poisson cellular network, in which the per-user truncated fractional transmit power control is performed. Because the effects of multi-user diversity depend on the number of candidate users to be scheduled, which is a random variable in a Poisson cellular network, the number distribution of candidate users is a major factor in analyzing the SINR distribution of user scheduling. However, the maximum transmit power constraint of users complicates the distribution of candidate users. This study provides the number distribution of candidate users in a general form, which is obtained by modeling the area of the existing range of candidate users using a beta distribution. Based on this result, this study successfully obtains the uplink SINR distribution under channel-adaptive user scheduling, including cases in which edge users are both allowed and not allowed to transmit at the maximum transmit power. Numerical evaluations reveal that the scheduling gain varies depending on the SNR and the fraction of edge users.

中文翻译：

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上行信道自适应调度的SINR分布和调度增益分析

尽管蜂窝网络的随机几何分析广泛流行，但大多数分析结果缺乏信道自适应用户调度的观点。本研究提出了上行泊松蜂窝网络中基于归一化 SNR 的调度的 SINR 分布和调度增益的随机几何分析，其中执行了每用户截断的部分发射功率控制。由于多用户分集的影响取决于待调度的候选用户数，这是泊松蜂窝网络中的一个随机变量，因此候选用户数分布是分析用户调度的SINR分布的主要因素。然而，用户的最大发射功率约束使候选用户的分布复杂化。本研究以一般形式提供了候选用户的数量分布，这是通过使用 beta 分布对现有候选用户范围的区域进行建模而获得的。基于此结果，本研究成功获得了信道自适应用户调度下的上行SINR分布，包括允许和不允许边缘用户以最大发射功率发射的情况。数值评估表明，调度增益取决于 SNR 和边缘用户的比例。包括允许和不允许边缘用户以最大发射功率发射的情况。数值评估表明，调度增益取决于 SNR 和边缘用户的比例。包括允许和不允许边缘用户以最大发射功率发射的情况。数值评估表明，调度增益取决于 SNR 和边缘用户的比例。