The SINR Meta Distribution in Poisson Cellular Networks

This work studies the signal-to-interference-plus-noise ratio (SINR) meta distribution (MD) in cellular networks with a focus on the Poisson model. Firstly, we show that for stationary base station point processes, arbitrary fading, and power-law path loss with exponent alpha, the base station density lambda and the noise power sigma(2) impact the SINR MD only through eta (sic)Delta lambda(alpha/2)/sigma(2), termed the network signal-to-noise ratio (NSNR). Next, we show that for Poisson cellular networks, the SINR MD can be written as g(x)theta(-2/alpha) when the target SINR. and the target reliability x jointly satisfy a constraint. We derive this constraint and the integral of g(x). Lastly, we discuss several extensions of the results to more general models and architectures.

Automated summary

This work focuses on the signal-to-interference-plus-noise ratio (SINR) meta distribution in cellular networks, particularly the Poisson model. It shows that the base station density and noise power mainly affect the SINR distribution through the network signal-to-noise ratio (NSNR). For Poisson cellular networks, the SINR MD can be expressed based on a constraint involving the target SINR and target reliability.