• DocumentCode
    1302705
  • 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
  • Volume
    55
  • Issue
    9
  • fYear
    2009
  • Firstpage
    4033
  • Lastpage
    4039
  • 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;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2009.2025549
  • Filename
    5208536