Capacity-Equivocation Region of the Gaussian MIMO Wiretap Channel

We study the Gaussian multiple-input multiple-output (MIMO) wiretap channel, which consists of a transmitter, a legitimate user, and an eavesdropper. In this channel, the transmitter sends a common message to both the legitimate user and the eavesdropper. In addition to this common message, the legitimate user receives a private message, which is desired to be kept hidden as much as possible from the eavesdropper. We obtain the entire capacity-equivocation region of the Gaussian MIMO wiretap channel. This region contains all achievable common message, private message, and private message's equivocation (secrecy) rates. In particular, we show the sufficiency of jointly Gaussian auxiliary random variables and channel input to evaluate the existing single-letter description of the capacity-equivocation region due to Csiszar-Korner. This work was supported by NSF Grants CCF 04-47613, CCF 05-14846, CNS 07-16311 and CCF 0729127. 1 

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Ersen Ekrem, Sennur Ulukus
• Keywords: Common Message, CORR 2010, Education, Legitimate User, Private Message