Explicit Space–Time Codes Achieving the Diversity–Multiplexing Gain Tradeoff

  • Authors:
  • P. Elia;K. R. Kumar;S. A. Pawar;P. V. Kumar;Hsiao-Feng Lu

  • Affiliations:
  • Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA;-;-;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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A recent result of Zheng and Tse states that over a quasi-static channel, there exists a fundamental tradeoff, referred to as the diversity-multiplexing gain (D-MG) tradeoff, between the spatial multiplexing gain and the diversity gain that can be simultaneously achieved by a space-time (ST) code. This tradeoff is precisely known in the case of independent and identically distributed (i.i.d.) Rayleigh fading, for Tgesnt+nr-1 where T is the number of time slots over which coding takes place and nt,nr are the number of transmit and receive antennas, respectively. For Tnt case, we present two general techniques for building D-MG-optimal rectangular ST codes from their square counterparts. A byproduct of our results establishes that the D-MG tradeoff for all Tgesnt is the same as that previously known to hold for Tgesnt+n r-1