Multi-hop amplify-and-forward relaying on nakagami-0.5 fading channels

Aydin Behnad, Norman C. Beaulieu, Behrouz Maham

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


The performance analysis of a wireless communication system on Nakagami-0.5 fading channels has importance, as it evaluates the system in a worst case scenario. This analysis becomes more crucial when a high level of quality of service is required. The performance of a multi-hop amplify-and-forward relaying system on Nakagami-0.5 channels is considered. First, it is shown that the harmonic mean of independent gamma random variables with shape parameter 0.5 has again gamma distribution with the same shape parameter. Then, using this fact, closed-form expressions giving accurate approximations for the outage probability, the average symbol error probability, and the ergodic capacity of the multi-hop relaying system are derived. The analytical results are verified by simulations.

Original languageEnglish
Article number6169935
Pages (from-to)173-176
Number of pages4
JournalIEEE Wireless Communications Letters
Issue number3
Publication statusPublished - Jun 2012


  • Amplify-and-forward
  • Levy distribution
  • Nakagami-0.5
  • fading channels
  • multi-hop relaying
  • stable distributions

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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