Title :
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
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;
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
DOI :
10.1109/ISIT.2008.4595041
