Space-Time code designs based on the generalized binary rank criterion with applications to cooperative diversity

  • Authors:
  • A. Roger Hammons

  • Affiliations:
  • The Johns Hopkins University Applied Physics Laboratory, Laurel, MD

  • Venue:
  • WCC'05 Proceedings of the 2005 international conference on Coding and Cryptography
  • Year:
  • 2005

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Abstract

Li and Xia have recently investigated the design of space-time codes that achieve full spatial diversity for quasi-synchronous cooperative communications. They show that certain of the binary space-time trellis codes derived from the Hammons-El Gamal stacking construction are delay tolerant and can be used in the multilevel code constructions by Lu and Kumar to produce delay tolerant space-time codes for PSK and QAM signaling. In this paper, we present a generalized stacking criterion for maximal rank-d binary codes and develop new explicit constructions. We also present several multilevel space-time code constructions for certain AM-PSK constellations that generalize the recent Lu-Kumar unified construction. Following the approach by Li and Xia, we show that, if the binary constituent codes used in these AM-PSK constructions are delay tolerant, so are the multilevel codes, making them well-suited for quasi-synchronous cooperative diversity applications.