On the Sum of Squared Correlated Rayleigh Variates and Applications to Maximal-Ratio Diversity

Author

Alexandropoulos, George C. ; Berberidis, Kostas ; Sagias, Nikos C. ; Lazarakis, Fotis I. ; Datsikas, Christos K. ; Alexandridis, Antonis A. ; Dangakis, Kostas P.

Author_Institution

Univ. of Patras, Rio-Patras

fYear

2007

fDate

3-7 Sept. 2007

Firstpage

1

Lastpage

5

Abstract

An infinite series representation for the moment generating function of the sum of squared arbitrarily correlated Rayleigh random variables is presented. Based on the derived formula, corresponding analytical expressions for the probability density and cumulative distribution functions are extracted. As an application for the aforementioned sum, exact analytical expressions for the outage and the average error probability, as well as, the channel average spectral efficiency of multibranch maximal-ratio diversity receivers operating over identically distributed and arbitrarily correlated Rayleigh fading channels are obtained. Our analysis is verified by comparing numerically evaluated results with extensive computer simulation ones.

Keywords

Rayleigh channels; correlation methods; diversity reception; probability; radio receivers; random functions; series (mathematics); Rayleigh fading channels; cumulative distribution function; infinite series representation; moment generating function; multibranch maximal-ratio diversity receivers; probability density function; squared arbitrarily correlated Rayleigh random variable; Computer simulation; Distribution functions; Diversity reception; Error probability; Fading; Informatics; Land mobile radio; Performance analysis; Radiofrequency interference; Random variables;

fLanguage

English

Publisher

ieee

Conference_Titel

Personal, Indoor and Mobile Radio Communications, 2007. PIMRC 2007. IEEE 18th International Symposium on

Conference_Location

Athens

Print_ISBN

978-1-4244-1144-3

Electronic_ISBN

978-1-4244-1144-3

Type

conf

DOI

10.1109/PIMRC.2007.4394161

Filename

4394161