Security in multiple keyhole MIMO channels

A new closed form expression for the ergodic secrecy capacity with multi-keyhole Multiple-Input Multiple-Output (MIMO) channel has been derived in this paper. Assuming independent and identically distributed (i.i.d.) Rayleigh flat-fading between transmitting and receiving antennas and equal power allocation to each of the transmit antennas, the ergodic secrecy capacity is expressed as a finite sum of weighted Meiger G-functions for ease of calculation. The effect of the number of keyhole on the ergodic secrecy capacity as well as on the receiving antenna is also analyzed in this paper.