Secure outage performance analysis for multicasting with linear equalization

We consider a confidential communication through Rayleigh fading channel in which a source transmits a common stream of information to the multiple client receivers via multiple relays in the presence of an eavesdropper. We assume that there is no direct path from source to client receivers and eavesdropper, and communication occurs only through the relays. In order to increase the spectral efficiency, we consider a linear equalization, e.g., zero-forcing (ZF) in cooperative spatial multiplexing system. Considering the effect of linear equalization, at first, we derive the exact closed-form expression for the ergodic secrecy multicast capacity. Then, we derive the closed-form expressions for the secure outage probability and the complementary cumulative distribution function (CCDF) of secrecy multicast capacity to analyze the outage performance of proposed model.