On the Effects of Jacks Correlation on the Secrecy Multicast Capacity of MIMO Fading Channels: A Comparative Study

Abstract A confidential communication over multiple-input multiple-output (MIMO) fading channels is considered, in which a transmitter communicates with a group of receivers in the presence of multiple eavesdroppers. The antenna correlation depends on both the antenna spacing and the angular spectrum of the incoming radio waves. We derive the closed-form analytical expressions of the ergodic secrecy multicast capacity for Rayleigh and Ricean fading MIMO channels considering a linear array with equally spaced antennas and employing the classical Jakes correlation. Then, we compare the performance of Rayleigh and Ricean fading channels showing the effects of fading, antenna correlation and the spacing between antenna elements. Our results show that antenna correlations significantly reduces the ergodic secrecy multicast capacity of Rayleigh as well as Ricean fading MIMO channels and this effect is more severe in the case of Rayleigh fading channel compared to Ricean fading.