Sum of Weibull variates and performance of diversity systems

Ferkan Yilmaz*, Mohamed Slim Alouini

*Corresponding author for this work

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

30 Scopus citations

Abstract

Sum of Weibull random variables (RVs) is naturally of prime importance in wireless communications and related areas. Through the medium of the selection of poles as orthogonal Laguerre polynomials in Cauchy residue theorem, the moment-generation function (MGF), the probability density function (PDF) and the cumulative distribution function (CDF) of the sum of L ≥ 2 mutually independent any random variables (RVs) are represented in terms of fast convergent series, and the obtained results are applied to the sum of Weibull RVs in order to find symbol error rate (SER) and outage probability (OP) performance.

Original languageEnglish (US)
Title of host publicationProceedings of the 2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009
PublisherAssociation for Computing Machinery (ACM)
Pages247-252
Number of pages6
ISBN (Print)9781605585697
DOIs
StatePublished - 2009
Event2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009 - Leipzig, Germany
Duration: Jun 21 2009Jun 24 2009

Publication series

NameProceedings of the 2009 ACM International Wireless Communications and Mobile Computing, Connecting the World Wirelessly, IWCMC 2009

Other

Other2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009
Country/TerritoryGermany
CityLeipzig
Period06/21/0906/24/09

Keywords

  • Cumulative distribution function
  • Outage probability
  • Probability density function
  • Sum of random variables
  • Symbol error rate
  • Weibull distribution

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Computer Science Applications
  • Software

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