On the performance of amplify-and-forward cooperative diversity with the Nth best-relay selection scheme

  • Authors:
  • Salama S. Ikki;Mohamed H. Ahmed

  • Affiliations:
  • Faculty of Engineering and Applied Sciences, Memorial University of Newfoundland, St. John's, NL, Canada;Faculty of Engineering and Applied Sciences, Memorial University of Newfoundland, St. John's, NL, Canada

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

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Abstract

Cooperative-diversity networks have recently been proposed as a way to form virtual antenna arrays without using collocated multiple antennas. In this paper, we consider the amplify-and-forward cooperative-diversity system with the Nth best-relay selection scheme. In the best-relay selection scheme, the best relay only forwards the source signal to the destination. However, the best relay might be unavailable; hence we might resort to the second, third or generally the Nth best relay. We derive closed-form expressions for the symbol error probability, outage probability and channel capacity. In particular, we derive a closed-form expression for the probability density function of the signal-to-noise ratio of the relayed signal at the destination node. Then, we find a closed-form expression for the moment generating function of the total SNR at the destination. This MGF is used to derive the closed-form expressions of the performance metrics. Results show that with the Nth best relay the diversity order is equal to (M - N +2) where M is the number of relays. Simulation results are also given to verify the analytical results.