Diversity-multiplexing tradeoff in MIMO relay channels for a broad class of fading distributions

  • Authors:
  • Sergey Loyka;Georgy Levin

  • Affiliations:
  • School of Information Technology and Engineering, University of Ottawa, Ontario, Canada;School of Information Technology and Engineering, University of Ottawa, Ontario, Canada

  • Venue:
  • IEEE Communications Letters
  • Year:
  • 2010

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Abstract

Diversity multiplexing tradeoff (DMT) in MIMO relay channels, where the transmitter and receiver are equipped with multiple antennas and the relay with a single one, is derived for a broad class of fading distributions, including, as special cases, non-identical, spatially correlated, and non-zero mean channels. It is shown that the DMT does not depend on a particular fading distribution, but rather on its polynomial behavior near zero. The DMT turns out to be the same for the simple "amplify-and-forward" mode and more complicated "decode-and-forward" relaying (with capacity achieving codes), i.e. the full processing capability at the relay does not help to improve the DMT.