Transmission of common, public and confidential messages in broadcast channels with multiple antennas

Abstract-- We study the Gaussian multiple-input multipleoutput (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. Moreover, 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 capacityequivocation region of the Gaussian MIMO wiretap channel. This region contains all achievable common message, private message, and private message's equivocation rates. This capacityequivocation region is equal to the capacity region of a Gaussian MIMO broadcast channel where the transmitter sends a common message to both the legitimate user and the eavesdropper, a public message to the legitimate user on which there is no secrecy constraint, and a confidential message to the legitimate user which needs to kept perfectly secret from the eavesdropper.

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