Sum of Weibull variates and performance of diversity systems

Ferkan Yilmaz; Mohamed Slim Alouini

doi:10.1145/1582379.1582434

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 proceeding › Conference contribution › peer-review

22 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 language	English (US)
Title of host publication	Proceedings of the 2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009
Pages	247-252
Number of pages	6
DOIs	https://doi.org/10.1145/1582379.1582434
State	Published - 2009
Externally published	Yes
Event	2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009 - Leipzig, Germany Duration: Jun 21 2009 → Jun 24 2009

Other

Other	2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009
Country	Germany
City	Leipzig
Period	06/21/09 → 06/24/09

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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title = "Sum of Weibull variates and performance of diversity systems",

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.",

keywords = "Cumulative distribution function, Outage probability, Probability density function, Sum of random variables, Symbol error rate, Weibull distribution",

author = "Ferkan Yilmaz and Alouini, {Mohamed Slim}",

year = "2009",

doi = "10.1145/1582379.1582434",

language = "English (US)",

isbn = "9781605585697",

pages = "247--252",

booktitle = "Proceedings of the 2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009",

note = "2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009 ; Conference date: 21-06-2009 Through 24-06-2009",

}

Yilmaz, F & Alouini, MS 2009, Sum of Weibull variates and performance of diversity systems. in Proceedings of the 2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009. pp. 247-252, 2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009, Leipzig, Germany, 06/21/09. https://doi.org/10.1145/1582379.1582434

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AB - 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.

KW - Cumulative distribution function

KW - Outage probability

KW - Probability density function

KW - Sum of random variables

KW - Symbol error rate

KW - Weibull distribution

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Sum of Weibull variates and performance of diversity systems

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