The Fisher-Snedecor F Distribution: A Simple and Accurate Composite Fading Model

Seong Ki Yoo, Simon L. Cotton, Paschalis C. Sofotasios, Michail Matthaiou, Mikko Valkama, George K. Karagiannidis

Research output: Contribution to journalArticlepeer-review

163 Scopus citations


We consider the use of the Fisher-Snedecor F distribution, which is defined as the ratio of two chi-squared variates, to model composite fading channels. In this context, the root-mean-square power of a Nakagami- m signal is assumed to be subject to variations induced by an inverse Nakagami- m random variable. Comparisons with physical channel data demonstrate that the proposed composite fading model provides as good, and in most cases better, fit to the data compared to the generalized- K composite fading model. Motivated by this result, simple novel expressions are derived for the key statistical metrics and performance measures of interest.

Original languageBritish English
Article number7886273
Pages (from-to)1661-1664
Number of pages4
JournalIEEE Communications Letters
Issue number7
StatePublished - Jul 2017


  • Composite fading
  • inverse Nakagami-m distribution
  • Nakagami-m fading
  • shadowing.


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