On the Computation of the Higher Order Statistics of the Channel Capacity for Amplify-and-Forward Multihop Transmission

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Yilmaz F., Tabassum H., Alouini M.

IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, vol.63, no.1, pp.489-494, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 1
  • Publication Date: 2014
  • Doi Number: 10.1109/tvt.2013.2272705
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.489-494
  • Keywords: Amplify-and-forward (AF) transmission, ergodic capacity, generalized fading channels, higher order statistics (HOS), multihop transmission, ERGODIC CAPACITY, PROBABILITY, FRAMEWORK, SYSTEMS
  • Istanbul Technical University Affiliated: No


Higher order statistics (HOS) of the channel capacity provide useful information regarding the level of reliability of signal transmission at a particular rate. In this paper, we propose a novel and unified analysis, which is based on the moment-generating function (MGF) approach, to efficiently and accurately compute the HOS of the channel capacity for amplify-and-forward (AF) multihop transmission over generalized fading channels. More precisely, our easy-to-use and tractable mathematical formalism requires only the reciprocal MGFs of the transmission hop signal-to-noise ratio (SNR). Numerical and simulation results, which are performed to exemplify the usefulness of the proposed MGF-based analysis, are shown to be in perfect agreement.