Approximation to the Sum of Two Correlated Gamma-Gamma Variates and its Applications in Free-Space Optical Communications

Guowei Yang, Mohammad-Ali Khalighi, Salah Bourennane, Zabih Ghassemlooy

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

The Gamma-Gamma (ΓΓ) distribution is popularly accepted for modeling the received intensity fluctuations in the near-ground free-space optical (FSO) communication. We consider in this letter the case of dual space diversity FSO systems when the fading coefficients corresponding to the two sub-channels are correlated. In order to evaluate the receiver performance analytically, we propose to approximate the sum of correlated ΓΓ random variables by an α-μ distribution. We show that there is a good match between the performance obtained by simulated data based on the ΓΓ channel model and that obtained from analytical calculation based on the approximate α-μ model.
Original languageEnglish
Pages (from-to)621-624
JournalIEEE Wireless Communications Letters
Volume1
Issue number6
DOIs
Publication statusPublished - Dec 2012

Keywords

  • α-μ distribution
  • Gamma-gamma distribution
  • correlated fading
  • free-space optics (FSO)
  • spatial diversity

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