The secrecy capacity of the MIMO wiretap channel

Author

Oggier, Frederique ; Hassibi, Babak

Author_Institution

Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA

fYear

2008

fDate

6-11 July 2008

Firstpage

524

Lastpage

528

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.

Keywords

MIMO communication; Riccati equations; antenna arrays; broadcast antennas; broadcast channels; channel capacity; telecommunication security; wireless channels; Sato-like upper bound; algebraic Riccati equation; broadcast channel; multiple antenna MIMO wiretap channel; secrecy capacity; Broadcasting; Degradation; Fading; MIMO; Memoryless systems; Receiving antennas; Riccati equations; Transmitters; Transmitting antennas; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory, 2008. ISIT 2008. IEEE International Symposium on

Conference_Location

Toronto, ON

Print_ISBN

978-1-4244-2256-2

Electronic_ISBN

978-1-4244-2257-9

Type

conf

DOI

10.1109/ISIT.2008.4595041

Filename

4595041