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 -