On the performance analysis of equal-gain diversity receivers over generalized Gamma fading channels

Nikos C. Sagias, George K. Karagiannidis, P. Takis Mathiopoulos, Theodoras A. Tsiftsis

Research output: Contribution to journalArticlepeer-review

66 Citations (Scopus)


A versatile envelope distribution which generalizes many commonly used models for multipath and shadow fading is the so-called generalized Gamma (GG) distribution. By considering the product of N GG random variables (RV)s, novel expressions for its moments-generating, probability density, and cumulative distribution functions are obtained in closed form. These expressions are used to derive a closed-form union upper bound for the distribution of the sum of GG distributed RVs. The proposed bound turns out to be an extremely convenient analytical tool for studying the performance of N-branch equal-gain combining receivers operating over GG fading channels. For such receivers, first the moments of the signal-to-noise (SNR) at the output, including average SNR and amount of fading, are obtained in closed form. Furthermore, novel union upper bounds for the outage and the average bit error probability are derived and evaluated in terms of Meijer's G-functions. The tightness of the proposed bounds is verified by performing comparisons between numerical evaluation and computer simulations results.

Original languageEnglish
Article number1705958
Pages (from-to)2967-2974
Number of pages8
JournalIEEE Transactions on Wireless Communications
Issue number10
Publication statusPublished - Oct 2006


  • Equal-gain combining (EGC)
  • Generalized Gamma
  • Generalized fading channels
  • Lognormal
  • Nakagami-m
  • Outage probability
  • Sum of random variables
  • Weibull

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics

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