This work studies the signal-to-interference-plus-noise-ratio (SINR) meta distribution for the uplink transmission of a Poisson network with Rayleigh fading by using the dominant interferer-based approximation. The proposed approach relies on computing the mix of exact and mean-field analysis of interference. In particular, it requires the distance distribution of the nearest interferer and the conditional average of the rest of the interference. Using the widely studied fractional path-loss inversion power control and modeling the spatial locations of base stations (BSs) by a Poisson point process (PPP), we obtain the meta distribution based on the proposed method and compare it with the traditional beta approximation, as well as the exact results obtained via Monte-Carlo simulations. Our numerical results validate that the proposed method shows good matching and is time competitive.

翻译：本研究针对瑞利衰落下的泊松网络上、在采用基于主导干扰近似方法时的上行传输信干噪比元分布进行探讨。所提方法依赖于计算干扰的精确分析与均值场分析的混合结果，特别需要最近干扰源的距离分布以及其余干扰的条件均值。通过广泛应用的分数路径损耗反比功率控制，并以泊松点过程建模基站的空间位置，我们基于所提方法获得了元分布，并将其与传统贝塔近似及通过蒙特卡洛仿真获得的精确结果进行比较。数值结果验证了所提方法具有良好的匹配度且计算时间具有竞争力。