Title :
Towards the Secrecy Capacity of the Gaussian MIMO Wire-Tap Channel: The 2-2-1 Channel
Author :
Shafiee, Shabnam ; Liu, Nan ; Ulukus, Sennur
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA
Abstract :
We find the secrecy capacity of the 2-2-1 Gaussian MIMO wiretap channel, which consists of a transmitter and a receiver with two antennas each, and an eavesdropper with a single antenna. We determine the secrecy capacity of this channel by proposing an achievable scheme and then developing a tight upper bound that meets the proposed achievable secrecy rate. We show that, for this channel, Gaussian signalling in the form of beam-forming is optimal, and no pre-processing of information is necessary.
Keywords :
MIMO communication; channel capacity; telecommunication security; transmitting antennas; Gaussian MIMO wire-tap channel; beam-forming; information-theoretic security; multiple antenna; secrecy capacity; single antenna; Channel capacity; Degradation; Helium; Information security; MIMO; Random variables; Receiving antennas; Transmitters; Transmitting antennas; Upper bound; Information-theoretic security; multiple antennas; multiple-input multiple-output (MIMO); secrecy capacity; wiretap channel;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2025549
