Title :
Some Applications of Lauricella Hypergeometric Function F_A in Performance Analysis of Wireless Communications
Author :
Shi, Qinghua ; Karasawa, Y.
Author_Institution :
Dept. of Electron. Eng., Univ. of Electro-Commun., Chofu, Japan
fDate :
5/1/2012 12:00:00 AM
Abstract :
Lauricella hypergeometric function (LHF) FA is often used in the performance analysis of wireless communications, especially diversity systems. In this letter, FA is applied to solve two challenging problems: (1) a product of error functions averaged over generic fading channels and (2) error probability of BPSK modulation with equal-gain combining (EGC) in independent Nakagami-m fading channels. Closed-form expressions in terms of FA are obtained. In addition, a novel and efficient approximation to FA is presented.
Keywords :
Nakagami channels; error statistics; modulation; BPSK modulation; Lauricella hypergeometric function; equal-gain combining; error probability; independent Nakagami-m fading channels; performance analysis; wireless communications; Approximation methods; Diversity reception; Manganese; Performance analysis; Rayleigh channels; Wireless communication; Equal gain combining; Error probability; Lauricella hypergeometric function;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2012.030912.112454