Stochastic Geometry-Based Coverage and Rate Analysis under Nakagami Log-normal Composite Fading Channel for Downlink Cellular Networks

Modeling the base station deployments with stochastic geometry in the cellular network, we derive the coverage probability and average rate of typical user under a generalized composite fading channel, which is composed of the shadowing and Nakagami-${m}$ fading. Unlike the previous work, the current coverage analysis does not involve any numerical integration, allowing for a rather straightforward evaluation of the required signal-to-interference ratio with the given target cellular performance under general channel environments. It approximates a gamma-lognormal distribution, which characterizes an effect of composite fading, as a weighted sum of gamma distributions by the Gaussian-Hermite quadrature for analytical tractability.