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 journalArticle

63 Citations (Scopus)

Abstract

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
Volume5
Issue number10
DOIs
Publication statusPublished - Oct 2006
Externally publishedYes

Fingerprint

Diversity Gain
Fading Channels
Random variables
Outages
Fading channels
Performance Analysis
Distribution functions
Closed-form
Receiver
Fading
Computer simulation
Union
Generalized gamma Distribution
Meijer's G-function
Upper bound
Moment
Tightness
Cumulative distribution function
Error Probability
Multipath

Keywords

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

ASJC Scopus subject areas

  • Engineering(all)
  • Computer Networks and Communications

Cite this

On the performance analysis of equal-gain diversity receivers over generalized Gamma fading channels. / Sagias, Nikos C.; Karagiannidis, George K.; Mathiopoulos, P. Takis; Tsiftsis, Theodoras A.

In: IEEE Transactions on Wireless Communications, Vol. 5, No. 10, 1705958, 10.2006, p. 2967-2974.

Research output: Contribution to journalArticle

Sagias, Nikos C. ; Karagiannidis, George K. ; Mathiopoulos, P. Takis ; Tsiftsis, Theodoras A. / On the performance analysis of equal-gain diversity receivers over generalized Gamma fading channels. In: IEEE Transactions on Wireless Communications. 2006 ; Vol. 5, No. 10. pp. 2967-2974.
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