On the Effect of Colluding Eavesdroppers on Secrecy Scaling

In a powerful secrecy attack, eavesdroppers can collude, i.e., they can share their observations. Securing infor- mation in such a scenario will be an even more challenging task compared to non-colluding case. We here analyze the effect of eavesdropper collusion on the achievable performance in both the path loss and ergodic multi-path fading models. We provide two results: 1) If the legitimate nodes have unit intensity (� = 1) and the colluding eavesdroppers have an intensity of �e = O i,j Xi(t) + Nj(t) Ye(t) = X i∈T (t) q d −� i,e Xi(t) + Ne(t),