Theoretical Analysis Of Secrecy Transmission Capacity In Wireless Ad Hoc Networks

This paper analyzes the secrecy transmission capacity (STC) over wireless ad hoc networks, where the legitimate nodes and eavesdroppers are distributed as Poisson point process. We calculate the connection outage probability (COP) and the bounds of the secrecy outage probability (SOP) based on the tools from stochastic geometry and establish a theoretical model for STC. Different from previous work considering the lower bound of STC, we characterize the relationship between target outage constraints and the densities of legitimate transmitters and eavesdroppers, and propose a necessary condition to achieve an upper bound of the positive STC. That is, the length of legitimate transmitter-receiver pair has an upper bound.