TY - GEN
T1 - An MMSE approach to the secrecy capacity of the MIMO gaussian wiretap channel
AU - Bustin, Ronit
AU - Liu, Ruoheng
AU - Poor, H. Vincent
AU - Shamai, Shlomo
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=70449511650&partnerID=8YFLogxK
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U2 - 10.1109/ISIT.2009.5205967
DO - 10.1109/ISIT.2009.5205967
M3 - Conference contribution
AN - SCOPUS:70449511650
SN - 9781424443130
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2602
EP - 2606
BT - 2009 IEEE International Symposium on Information Theory, ISIT 2009
T2 - 2009 IEEE International Symposium on Information Theory, ISIT 2009
Y2 - 28 June 2009 through 3 July 2009
ER -