10,298 research outputs found
Multiple-Input Multiple-Output Gaussian Broadcast Channels with Common and Confidential Messages
This paper considers the problem of the multiple-input multiple-output (MIMO)
Gaussian broadcast channel with two receivers (receivers 1 and 2) and two
messages: a common message intended for both receivers and a confidential
message intended only for receiver 1 but needing to be kept asymptotically
perfectly secure from receiver 2. A matrix characterization of the secrecy
capacity region is established via a channel enhancement argument. The enhanced
channel is constructed by first splitting receiver 1 into two virtual receivers
and then enhancing only the virtual receiver that decodes the confidential
message. The secrecy capacity region of the enhanced channel is characterized
using an extremal entropy inequality previously established for characterizing
the capacity region of a degraded compound MIMO Gaussian broadcast channel.Comment: Submitted to the IEEE Transactions on Information Theory, July 200
New Results on Multiple-Input Multiple-Output Broadcast Channels with Confidential Messages
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.Comment: Submitted to the IEEE Transactions on Information Theory, 11 pages, 5
figure
MIMO Gaussian Broadcast Channels with Confidential and Common Messages
This paper considers the problem of secret communication over a two-receiver
multiple-input multiple-output (MIMO) Gaussian broadcast channel. The
transmitter has two independent, confidential messages and a common message.
Each of the confidential messages is intended for one of the receivers but
needs to be kept perfectly secret from the other, and the common message is
intended for both receivers. It is shown that a natural scheme that combines
secret dirty-paper coding with Gaussian superposition coding achieves the
secrecy capacity region. To prove this result, a channel-enhancement approach
and an extremal entropy inequality of Weingarten et al. are used.Comment: Submitted to 2010 IEEE International Symposium on Information Theory,
Austin, Texa
- …