Towards the secrecy capacity of the Gaussian MIMO wire-tap channel: the 2-2-1 channel

  • Authors:

  • Shabnam Shafiee;Nan Liu;Sennur Ulukus

  • Affiliations:

  • Perinatronics Medical Systems, Millersville, MD and Department of Electrical and Computer Engineering, University of Maryland, College Park, MD;School of Information Science and Engineering, Southeast University, Nanjing, China and Department of Electrical and Computer Engineering, University of Maryland, College Park, MD;Department of Electrical and Computer Engineering, University of Maryland, College Park, MD

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2009

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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.