Capacity Region of Gaussian MIMO Broadcast Channels with Common and Confidential Messages

Details Capacity Region of Gaussian MIMO Broadcast Channels with Common and Confidential Messages Capacity Region of Gaussian MIMO Broadcast Channels with Common and Confidential Messages

2010-02-26

arxiv.org/abs/1002.5026v1

Computer Science

Information Theory

Submitted to IEEE Transactions on Information Theory, February 2010. Conference version submitted to IEEE ISIT, January 2010

Scientific paper

We study the two-user Gaussian multiple-input multiple-output (MIMO) broadcast channel with common and confidential messages. In this channel, the transmitter sends a common message to both users, and a confidential message to each user which needs to be kept perfectly secret from the other user. We obtain the entire capacity region of this channel. We also explore the connections between the capacity region we obtain for the Gaussian MIMO broadcast channel with common and confidential messages and the capacity region of its non-confidential counterpart, i.e., the Gaussian MIMO broadcast channel with common and private messages, which is not known completely.

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