期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 57, 期 8, 页码 4961-4972出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2011.2158487
关键词
Multiple antennas; secrecy capacity; wiretap channel
资金
- NSF [CCF-0729203]
- Caltech's Lee Center for Advanced Networking
- David and Lucille Packard Foundation
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [1018927] Funding Source: National Science Foundation
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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