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dc.contributor.authorLoyka, S.en
dc.contributor.authorCharalambous, Charalambos D.en
dc.creatorLoyka, S.en
dc.creatorCharalambous, Charalambos D.en
dc.description.abstractOptimal signalling over the wire-tap MIMO Gaussian channel is studied under the total transmit power constraint. A direct proof of the necessary condition of optimality (signaling on the positive directions of the difference channel) is given using the necessary KKT conditions. Based on it, an explicit, closed-form solution for the optimal transmit covariance matrix is given when the latter is of the full rank. The cases of weak eavesdropper and high SNR are considered. It is shown that the optimal covariance does not converge to a scaled identity in the latter regime. A refined estimate of the rank of an optimal covariance matrix is given for the general case. © 2012 IEEE.en
dc.sourceIEEE International Symposium on Information Theory - Proceedingsen
dc.sourceIEEE International Symposium on Information Theory - Proceedingsen
dc.subjectInformation theoryen
dc.subjectCovariance matrixen
dc.subjectGaussian channelsen
dc.subjectMimo channelen
dc.subjectSignal to noise ratioen
dc.subjectClosed form solutionsen
dc.subjectOptimal signalingen
dc.subjectTotal transmit poweren
dc.subjectHigh snren
dc.subjectKkt conditionen
dc.titleOn optimal signaling over secure MIMO channelsen
dc.description.endingpage447Πολυτεχνική Σχολή / Faculty of EngineeringΤμήμα Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών / Department of Electrical and Computer Engineering
dc.type.uhtypeConference Objecten
dc.contributor.orcidCharalambous, Charalambos D. [0000-0002-2168-0231]

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