Secrecy performance analysis of hybrid eavesdroppers system using stochastic geometry and random matrix theory

We consider a hybrid eavesdropping wireless system, where the locations of the eavesdroppers are drawn from Poisson point process (PPP). The eavesdroppers work in a half-duplex mode with a certain probability to transfer from eavesdropping mode to jamming mode. Based on the stochastic geometry (SG) and the random matrix theory (RMT), we derive the analytic results for the secrecy outage probability (SOP) and mean secrecy rate (MSR), which are verified by Monte-carlo simulations. We further derive the closed-form results for a special case where some special system parameters are assumed. It is found that the secrecy outage probability increases fast with the increasing of eavesdroppers' density. To improve the secrecy performance, the transmit power should be optimally designed.