Secrecy broadcast transmission capacity for heterogeneous correlated wireless ad hoc networks

We study the secrecy broadcast transmission capacity of a broadcast wireless ad hoc network of legitimate nodes coexisted with a correlated network of eavesdroppers. We define the secrecy broadcast transmission capacity as the product among the spatial density of broadcast transmissions without secrecy outage, the average number of neighbors of a broadcasting node, and the secrecy rate. By modeling the correlation between the legitimate nodes and the eavesdroppers as a spatial bivariate Poisson process, we derive the average number of eavesdropping neighbors that can cause secrecy outage and characterize the secrecy broadcast transmission capacity over general fading and Rayleigh fading channels. Numerical results show that in comparison to the case that without correlation, the correlation between the legitimate nodes and the eavesdroppers degrades the secrecy broadcast transmission capacity.