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      Noncoherent space-time coding: an algebraic perspective

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      Author(s)
      El Gamal, H.
      Aktas, D.
      Damen, M. O.
      Date
      2005-06
      Source Title
      IEEE Transactions on Information Theory
      Print ISSN
      0018-9448
      Publisher
      IEEE
      Volume
      51
      Issue
      7
      Pages
      2380 - 2390
      Language
      English
      Type
      Article
      Item Usage Stats
      164
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      126
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      Abstract
      The design of space-time signals for noncoherent block-fading channels where the channel state information is not known a priori at the transmitter and the receiver is considered. In particular, a new algebraic formulation for the diversity advantage design criterion is developed. The new criterion encompasses, as a special case, the well-known diversity advantage for unitary space-time signals and, more importantly, applies to arbitrary signaling schemes and arbitrary channel distributions. This criterion is used to establish the optimal diversity-versus-rate tradeoff for training based schemes in block-fading channels. Our results are then specialized to the class of affine space-time signals which allows for a low complexity decoder. Within this class, space-time constellations based on the threaded algebraic space-time (TAST) architecture are considered. These constellations achieve the optimal diversity-versus-rate tradeoff over noncoherent block-fading channels and outperform previously proposed codes in the considered scenarios as demonstrated by the numerical results. Using the analytical and numerical results developed in this paper, nonunitary space-time codes are argued to offer certain advantages in block-fading channels where the appropriate use of coherent space-time codes is shown to offer a very efficient solution to the noncoherent space-time communication paradigm.
      Keywords
      Diversity-versus-rate tradeoff
      Generalized likelihood ratio test (GLRT) receivers
      Noncoherent channels
      Space-time coding
      Communication channels (information theory)
      Diversity reception
      Encoding (symbols)
      Fading (radio)
      Matrix algebra
      Numerical methods
      Optimization
      Signal receivers
      Transmitters
      Diversity versus rate tradeoff
      Generalized likelihood ratio test (GLRT) receivers
      Noncoherent channels
      Space time coding
      Information theory
      Permalink
      http://hdl.handle.net/11693/24027
      Published Version (Please cite this version)
      https://doi.org/10.1109/TIT.2005.850139
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      • Department of Electrical and Electronics Engineering 3702
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