On the Meta Distribution of Coverage Probability in Uplink Cellular Networks

This letter studies the meta distribution of coverage probability (CP), within a stochastic geometry framework, for cellular uplink transmission with fractional pathloss inversion power control. Using the widely accepted Poisson point process (PPP) for modeling the spatial locations of base stations (BSs), we obtain the percentiles of users that achieve a target uplink CP over an arbitrary, but fixed, realization of the PPP. To this end, the effect of the users activity factor (p) and the path-loss compensation factor (ε) on the uplink performance are analyzed. The results show that decreasing p and/or increasing ε reduce the CP variation around the spatially averaged value.