On the performance analysis of composite multipath/shadowing channels using the G-distribution

Amine Laourine*, Mohamed Slim Alouini, Sofiène Affes, Alex Stéphenne

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

11 Scopus citations


Composite multipath/shadowing fading environments are frequently encountered in different realistic scenarios. These channels are generally modeled as a mixture of Nakagamim multipath fading and log-normal shadowing. The resulting composite probability density function (pdf) is unfortunately not in closed-form, thereby making the performance evaluation of communication links in these channels cumbersome. In this paper, we propose to model composite channels by the very general G-distribution. This pdf arises when the log-normal shadowing is substituted by the Inverse-Gaussian one. This substitution will prove to be very accurate for several shadowing conditions. In this paper we conduct an exhaustive performance evaluation of communication systems operating in these channels. Our study starts by deriving a closed-form expression for the outage probability. Then, we derive the moment generating function of the G-distribution, hence facilitating the calculation of average bit error probabilities. We also derive closed-form expressions for the channel capacity for three adaptive transmission techniques, namely, i) optimal rate adaptation with constant power, ii) optimal power and rate adaptation, and iii) channel inversion with fixed rate. The different expressions that will be provided are of great importance in assessing the performance of communication systems in composite channels.

Original languageEnglish (US)
Title of host publicationICC 2008 - IEEE International Conference on Communications, Proceedings
Number of pages6
StatePublished - 2008
Externally publishedYes
EventIEEE International Conference on Communications, ICC 2008 - Beijing, China
Duration: May 19 2008May 23 2008

Publication series

NameIEEE International Conference on Communications
ISSN (Print)0536-1486


OtherIEEE International Conference on Communications, ICC 2008


  • Adaptive transmission techniques
  • Fading channels
  • Information rates
  • Log normal
  • Nakagami distribution and composite distributions
  • Outage probability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications


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