Opportunistic relay selection with outdated CSI: outage probability and diversity analysis

  • Authors:
  • Jose Lopez Vicario;Albert Bel;Jose A. Lopez-Salcedo;Gonzalo Seco

  • Affiliations:
  • Universitat Autonoma de Barcelona, Bellaterra, Spain;Universitat Autonoma de Barcelona, Bellaterra, Spain;Universitat Autonoma de Barcelona, Bellaterra, Spain;Universitat Autonoma de Barcelona, Bellaterra, Spain

  • Venue:
  • IEEE Transactions on Wireless Communications
  • Year:
  • 2009

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Abstract

In this paper, we analyze the outage probability and diversity order of opportunistic relay selection in a scenario based on decode and forward and where the available channel state information (CSI) is outdated. The study is conducted analytically by obtaining a closed-form expression for the outage probability, which is defined as the probability that the instantaneous capacity is below a target value. We derive high-SNR approximations for the outage probability. By doing so, we demonstrate that the diversity order of the system is reduced to 1 when CSI is outdated, being this behavior independent of the level of CSI accuracy. A physical explanation for this extreme loss of diversity is provided along with numerical results to support the analytical study.