Diversity analysis of a randomized distributed space-time coding in an amplify and forward relay channel

  • Authors:
  • David Gregoratti;Xavier Mestre

  • Affiliations:
  • Centre Tecnològic de Telecomunicacions de Catalunya, Parc Mediterrani de la Tecnologia, Castelldefels, Barcelona, Spain;Centre Tecnològic de Telecomunicacions de Catalunya, Parc Mediterrani de la Tecnologia, Castelldefels, Barcelona, Spain

  • Venue:
  • ICC'09 Proceedings of the 2009 IEEE international conference on Communications
  • Year:
  • 2009

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Abstract

This paper considers a cooperative communications system where a single relay aids a point-to-point transmission using an amplify and forward configuration. The relay linearly encodes the K received symbols into N new ones by means of a matrix multiplication, and the destination employs a LMMSE filter to estimate the information originally transmitted. A large-SNR approximation of the outage probability Pout is derived for this system. The analysis of Pout shows that the diversity order of the system depends on the ratio K/N: if such a ratio is too high (the relay excessively compresses the information), no diversity is added by introducing the relay. Conversely, if this ratio is smaller than a certain quantity, diversity order 2 is ensured. The derived expressions are finally used to establish the diversity-multiplexing tradeoff of the system.