On the secure outage performance for wireless multicasting through slow fading channels

In the group-oriented applications such as military and commercial wireless cellular networks often require the same data to be conveyed to multiple users simultaneously. This technique is usually referred to as physical layer multicasting. In this paper, we are interested in protecting these data from eavesdropping. Here, we consider the transmission of confidential data through slow fading channels in the presence of single as well as multiple eavesdroppers. We define the perfect secrecy multicast mutual information in terms of secure outage probability for three different scenarios of secure wireless multicasting and provide a complete characterization of the maximum transmission rate at which the eavesdropper/eavesdroppers is/are unable to decode any information. We also present the average secrecy mutual information for multicasting in the presence of multiple eavesdroppers.