Studying the SINR Process of the Typical User in Poisson Networks Using Its Factorial Moment Measures

Abstract

Based on a stationary Poisson point process, a wireless network model with random propagation effects (shadowing and/or fading) is considered in order to examine the process formed by the signal-to-interference-plus-noise ratio (SINR) values experienced by a typical user with respect to all the base stations in the down-link channel. This SINR process is completely characterized by deriving its factorial moment measures, which involve numerically tractable, explicit integral expressions. This novel framework naturally leads to expressions for the $k$-coverage probability, including the case of random SINR threshold values considered in multi-tier network models. While the $k$..