Secrecy transmission capacity of random networks

We investigate the secrecy transmission capacity of random networks with Nakagami-m fading. Using a model that accounts for uncertainties both in node locations (distances) and channel coefficients (fading), we derive the path-gain distribution of the collusion of nodes, as well as the corresponding secrecy outage probability and secrecy rate distribution. These results are then used to obtain the secrecy transmission capacity of the network. The results are useful in quantifying the impact of fading and density of legitimate/eavesdropping nodes on the performance of random networks.