Sum of Weibull variates and performance of diversity systems

Authors:
Ferkan Yilmaz;Mohamed-Slim Alouini
Affiliations:
Texas A&M University at Qatar, Education City, Doha, Qatar;Texas A&M University at Qatar, Education City, Doha, Qatar
Venue:
Proceedings of the 2009 International Conference on Wireless Communications and Mobile Computing: Connecting the World Wirelessly
Year:
2009

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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.