• DocumentCode
    1722806
  • Title

    Quaternionic lattices for space-time coding

  • Author

    Belfiore, Jean-Claude ; Rekaya, Ghaya

  • Author_Institution
    Ecole Nat. Superieure des Telecommun., Paris, France
  • fYear
    2003
  • Firstpage
    267
  • Lastpage
    270
  • Abstract
    We propose an algebraic framework for studying coherent space-time codes, based on arithmetic lattices on central simple algebras. For two transmit antennas, this algebra is called a quaternion algebra. For this reason, we call these lattices quaternionic lattices. The design criterion is the one described by V. Tarokh et al. (see IEEE Trans. Inf. Theory, vol.44, p.744-65, 1998).
  • Keywords
    algebra; arithmetic; space-time codes; transmitting antennas; arithmetic lattices; quaternion algebra; quaternionic lattices; space-time codes; transmit antennas; Algebra; Computer aided software engineering; Gaussian noise; Lattices; Network address translation; Quaternions; Receiving antennas; Space time codes; Transmitters; Transmitting antennas;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop, 2003. Proceedings. 2003 IEEE
  • Print_ISBN
    0-7803-7799-0
  • Type

    conf

  • DOI
    10.1109/ITW.2003.1216745
  • Filename
    1216745