New Results on Multiple-Input Multiple-Output Broadcast Channels with Confidential Messages

Details New Results on Multiple-Input Multiple-Output Broadcast Channels with Confidential Messages New Results on Multiple-Input Multiple-Output Broadcast Channels with Confidential Messages

2011-01-11

arxiv.org/abs/1101.2007v1

Computer Science

Information Theory

Submitted to the IEEE Transactions on Information Theory, 11 pages, 5 figures

Scientific paper

This paper presents two new results on multiple-input multiple-output (MIMO) Gaussian broadcast channels with confidential messages. First, the problem of the MIMO Gaussian wiretap channel is revisited. A matrix characterization of the capacity-equivocation region is provided, which extends the previous result on the secrecy capacity of the MIMO Gaussian wiretap channel to the general, possibly imperfect secrecy setting. Next, the problem of MIMO Gaussian broadcast channels with two receivers and three independent messages: a common message intended for both receivers, and two confidential messages each intended for one of the receivers but needing to be kept asymptotically perfectly secret from the other, is considered. A precise characterization of the capacity region is provided, generalizing the previous results which considered only two out of three possible messages.

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