Approximation of Meta Distribution and Its Moments for Poisson Cellular Networks
Information Theory
2018-07-12 v2 math.IT
Abstract
The notion of meta distribution as the distribution of the conditional coverage probability (CCP) was introduced in \cite{Haenggi2015}. In this letter, we show how we can reconstruct the entire meta distribution only from its moments using Fourier-Jacobi expansion. As an example, we specifically consider Poisson cellular networks. We also provide a simple closed-form approximation for its moments, along with its error analysis. Lastly, we apply the approximation to obtain a power scaling law for downlink Poisson cellular networks.
Keywords
Cite
@article{arxiv.1804.06881,
title = {Approximation of Meta Distribution and Its Moments for Poisson Cellular Networks},
author = {Sudarshan Guruacharya and Ekram Hossain},
journal= {arXiv preprint arXiv:1804.06881},
year = {2018}
}