Towards the Secrecy Capacity of the Gaussian MIMO Wire-tap Channel: The 2-2-1 Channel

—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.

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Shabnam Shafiee, Nan Liu, Sennur Ulukus
• Keywords: Achievable Secrecy Rate, CORR 2007, Education, Gaussian MIMO Wiretap, Secrecy Capacity