Secure wireless multicasting in presence of multiple eavesdroppers

Physical layer security schemes for wireless communication can prevent eavesdropping even without use of upper layer cryptographic algorithms. As such, physical layer security based on information theoretic constraint is gaining both theoretical and practical importance in research community. In this paper, we investigate the physical layer security for wireless multicasting scheme consisting of a single antenna transmitter with multiple receivers and eavesdroppers both equipped with multiple antennas under quasi-static Rayleigh fading channel. We develop new closed-form expressions for the analysis of probability of positive secrecy as well as outage probability. We show that the physical layer security can be maintained even in presence of multiple eavesdroppers consisting multiple antennas. Furthermore, we also analyze the effect of number of antennas, users and eavesdroppers in the numerical results.