Title: The Meta Distribution of the SIR for Cellular Networks with Power Control,
Abstract: The meta distribution of the signal-to-interference ratio (SIR) provides
fine-grained information about the performance of individual links in a
wireless network. This paper focuses on the analysis of the meta distribution
of the SIR for both the cellular network uplink and downlink with fractional
power control. For the uplink scenario, an approximation of the interfering
user point process with a non-homogeneous Poisson point process is used. The
moments of the meta distribution for both scenarios are calculated. Some
bounds, the analytical expression, the mean local delay, and the beta
approximation of the meta distribution are provided. The results give
interesting insights into the effect of the power control in both the uplink
and downlink. Detailed simulations show that the approximations made in the
analysis are well justified.