TY - GEN

T1 - Sum of Weibull variates and performance of diversity systems

AU - Yilmaz, Ferkan

AU - Alouini, Mohamed Slim

PY - 2009

Y1 - 2009

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=70450242839&partnerID=8YFLogxK

U2 - 10.1145/1582379.1582434

DO - 10.1145/1582379.1582434

M3 - Conference contribution

AN - SCOPUS:70450242839

SN - 9781605585697

T3 - Proceedings of the 2009 ACM International Wireless Communications and Mobile Computing, Connecting the World Wirelessly, IWCMC 2009

SP - 247

EP - 252

BT - Proceedings of the 2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009

PB - Association for Computing Machinery (ACM)

T2 - 2009 ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009

Y2 - 21 June 2009 through 24 June 2009

ER -