Laguerre series expansion for the density function of sum of random variables and its application to analysis of EGC diversity systems

Author

Amarakone, U. ; Ekanayake, N.

Author_Institution

Dept. of Eng. Math., Univ. of Peradeniya, Peradeniya, Sri Lanka

fYear

2009

fDate

28-31 Dec. 2009

Firstpage

143

Lastpage

147

Abstract

An expression for the probability density function of the sum of independent and identically distributed random variables is derived. The new expression is in the form an infinite series containing Laguerre polynomials. This series is applied to determine the error rate performance for EGC diversity reception of CPSK signals in Nakagami fading channels. The density function of sum of Nakagami random variables is evaluated and graphically displayed. Numerical values for the error rate of CPSK signals for EGC diversity are presented.

Keywords

Nakagami channels; diversity reception; polynomials; series (mathematics); signal processing; stochastic processes; CPSK signals; EGC diversity reception; EGC diversity system analysis; Laguerre series expansion; Nakagami fading channels; density function; equal-gain combining; independent and identically distributed random variables; infinite series; probability density function; sum of random variables; Density functional theory; Diversity reception; Electronics industry; Error analysis; Fading; Gaussian distribution; Mathematics; Polynomials; Probability density function; Random variables; CPSK signals; EGC diversity; Laguerre polynomials; Nakagami Fading;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial and Information Systems (ICIIS), 2009 International Conference on

Conference_Location

Sri Lanka

Print_ISBN

978-1-4244-4836-4

Electronic_ISBN

978-1-4244-4837-1

Type

conf

DOI

10.1109/ICIINFS.2009.5429876

Filename

5429876