An MMSE approach to the secrecy capacity of the MIMO Gaussian wiretap channel
EURASIP Journal on Wireless Communications and Networking - Special issue on wireless physical layer security
A note on the secrecy capacity of the multiple-antenna wiretap channel
IEEE Transactions on Information Theory
Information Theoretic Security
Information Theoretic Security
Mutual information and minimum mean-square error in Gaussian channels
IEEE Transactions on Information Theory
Gradient of mutual information in linear vector Gaussian channels
IEEE Transactions on Information Theory
The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel
IEEE Transactions on Information Theory
Information Theoretic Security
Foundations and Trends in Communications and Information Theory
Secret sharing over fast-fading MIMO wiretap channels
EURASIP Journal on Wireless Communications and Networking - Special issue on wireless physical layer security
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This paper provides a closed-form expression for the secrecy capacity of the multiple-input multiple-output (MIMO) Gaussian wiretap channel, under a power-covariance constraint. Furthermore, the paper specifies the input covariance matrix required in order to attain the capacity. The proof uses the fundamental relationship between information theory and estimation theory in the Gaussian channel, relating the derivative of the mutual information to the minimum mean-square error (MMSE). The proof provides the missing intuition regarding the existence and construction of an enhanced degraded channel that does not increase the secrecy capacity. The concept of enhancement has been used in a previous proof of the problem. Furthermore, the proof presents methods that can be used in proving other MIMO problems, using this fundamental relationship.