On the Computation of the Higher-Order Statistics of the Channel Capacity over Generalized Fading Channels

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Yilmaz F., Alouini M.

IEEE WIRELESS COMMUNICATIONS LETTERS, vol.1, no.6, pp.573-576, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 1 Issue: 6
  • Publication Date: 2012
  • Doi Number: 10.1109/wcl.2012.081312.120285
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.573-576
  • Keywords: Higher-order statistics of the channel capacity, ergodic capacity, maximal-ratio combining, correlated fading distributions, correlated non-central chi-squared distributions
  • Yıldız Technical University Affiliated: No


The higher-order statistics (HOS) of the channel capacity mu(n) = E[log(n) (1 + gamma(end))], where n is an element of N denotes the order of the statistics, has received relatively little attention in the literature, due in part to the intractability of its analysis. In this letter, we propose a novel and unified analysis, which is based on the moment generating function (MGF) technique, to exactly compute the HOS of the channel capacity. More precisely, our mathematical formalism can be readily applied to maximal-ratio-combining (MRC) receivers operating in generalized fading environments. The mathematical formalism is illustrated by some numerical examples focusing on the correlated generalized fading environments.