Meta Distribution Analysis in Finite Blocklength Communications

This paper studies the meta distribution in a finite blocklength communication system that suffers from random interference. Modeling the spatial locations of interferers as a two-dimensional Poisson point process (PPP), we first provide an approximation form of the conditional successful transmission probability for a given set of interferers. The moments of the probability are then derived with stochastic geometry tools. Consequently, the meta distribution, which measures the complete distribution of the successful transmission probability, is approximated by the beta distribution via the moment matching method. Through Monte Carlo simulations, the accuracy of our analytical results, as well as the relationship between achievable performance in a finite blocklength communication system coexisting with random interferers and various system parameters are demonstrated.