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The secrecy capacity of the MIMO wiretap channel

Oggier, Frédérique and Hassibi, Babak (2008) The secrecy capacity of the MIMO wiretap channel. In: 2008 IEEE international symposium on information theory. IEEE , Piscataway, NJ, pp. 524-528. ISBN 9781424422562. https://resolver.caltech.edu/CaltechAUTHORS:OGGisit08

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Abstract

We consider the MIMO wiretap channel, that is a MIMO broadcast channel where the transmitter sends some confidential information to one user which is a legitimate receiver, while the other user is an eavesdropper. Perfect secrecy is achieved when the transmitter and the legitimate receiver can communicate at some positive rate, while insuring that the eavesdropper gets zero bits of information. In this paper, we compute the perfect secrecy capacity of the multiple antenna MIMO broadcast channel, where the number of antennas is arbitrary for both the transmitter and the two receivers. Our technique involves a careful study of a Sato-like upper bound via the solution of a certain algebraic Riccati equation.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ISIT.2008.4595041DOIArticle
https://arxiv.org/abs/0710.1920arXivDiscussion Paper
ORCID:
AuthorORCID
Oggier, Frédérique0000-0003-3141-3118
Additional Information:© 2008 IEEE. Publication date 6-11 July 2008. Current Version Published: 2008-08-08. This work was supported in part by NSF grant CCF- 0729203, by Caltech’s Lee Center for Advanced Networking and by a grant from the David and Lucille Packard Foundation.
Funders:
Funding AgencyGrant Number
NSFCCF-0729203
Caltech Lee Center for Advanced NetworkingUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:OGGisit08
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:OGGisit08
Official Citation:F. Oggier and B. Hassibi, "The secrecy capacity of the MIMO wiretap channel," 2008 IEEE International Symposium on Information Theory, Toronto, ON, 2008, pp. 524-528. doi: 10.1109/ISIT.2008.4595041
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13770
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:14 Apr 2009 18:47
Last Modified:03 Oct 2019 00:44

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