Covert Communication With a Ginibre Field of Interferers

In this paper, we study covert communication in wireless networks consisting of a transmitter, a receiver, an adversary, and multiple randomly distributed interferers. We model the spatial distribution of the interferers as a fi-Ginibre point process which can consider a repulsion among the interferers' locations and simplifies to the Poisson point process for a particular case. Both the average detection error probability (DEP) at the adversary and the communication outage probability (COP) at the receiver are investigated. We derive approximations of the average DEP and COP, and validate that the approximations are tight when compared to the simulated results. In addition, we examine the impact of the repulsion among the interferers on both the average DEP and COP. Finally, we show that the achievable average DEP, which is the maximized DEP with a requirement on the COP, is enhanced when there exists repulsion among the positions of the interferers.