Gaussian MIMO Multi-Receiver Wiretap Channel

Abstract— We consider the Gaussian multiple-input multipleoutput (MIMO) multi-receiver wiretap channel, and derive the secrecy capacity region of this channel for the most general case. We first prove the secrecy capacity region of the degraded MIMO channel, in which all receivers have the same number of antennas, and the noise covariance matrices exhibit a positive semi-definite order. We then generalize this result to the aligned case, in which all receivers have the same number of antennas, however there is no order among the noise covariance matrices. We accomplish this task by using the channel enhancement technique. Finally, we find the secrecy capacity region of the general MIMO channel by using some limiting arguments on the secrecy capacity region of the aligned MIMO channel. We show that a variant of dirtypaper coding with Gaussian signals is optimal.

• Type: Conference
• Year: 2009
• Where: GLOBECOM
• Authors: Ersen Ekrem, Sennur Ulukus
• Keywords: GLOBECOM 2009, MIMO Channel, Noise Covariance Matrices, Secrecy Capacity Region, Telecommunications