Downlink Coverage Probability in a Cellular Network with Ginibre Deployed Base Stations and Nakagami-m Fading Channels

摘要

Recently, spatial stochastic models based on determinantal point processes(DPP) are studied as promising models for analysis of cellular wirelessnetworks. Indeed, the DPPs can express the repulsive nature of the macro basestation (BS) configuration observed in a real cellular network and have manydesirable mathematical properties to analyze the network performance. However,almost all the prior works on the DPP based models assume the Rayleigh fadingwhile the spatial models based on Poisson point processes have been developedto allow arbitrary distributions of fading/shadowing propagation effects. Inorder for the DPP based model to be more promising, it is essential to extendit to allow non-Rayleigh propagation effects. In the present paper, we proposethe downlink cellular network model where the BSs are deployed according to theGinibre point process, which is one of the main examples of the DPPs, overNakagami-m fading. For the proposed model, we derive a numerically computableform of the coverage probability and reveal some properties of it numericallyand theoretically.