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The Secrecy Capacity of the MIMO Wiretap Channel

Oggier, Frédérique, Hassibi, Babak·2011·IEEE Transactions on Information Theory

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.

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Metadata

Authors
Oggier, F., & Hassibi, B.
Venue
IEEE Transactions on Information Theory
Published
2011-08
Volume
57
Issue
8
Pages
4961-4972
ISSN
  • 0018-9448 (ISSN-L)
  • 1557-9654
OpenAlex
W2072563372
Cited by
887
References
17
FWCI
49.02
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: The Secrecy Capacity of the MIMO Wiretap Channel. https://app.cochat.ai/papers/10.1109/tit.2011.2158487
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Oggier, F., & Hassibi, B. (2011). The Secrecy Capacity of the MIMO Wiretap Channel. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.2011.2158487

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.