On the Average of the Product of Two Gaussian Q-Functions over Nakagami-q (Hoyt) Fading and Its Application

Author

Lei, Xianfu ; Fan, Pingzhi ; Chen, Qingchun

Volume

11

Issue

10

fYear

2007

fDate

10/1/2007 12:00:00 AM

Firstpage

805

Lastpage

807

Abstract

In this letter, the average of the product of two Gaussian Q-functions over the Nakagami-q (Hoyt) distribution with arbitrary parameters is presented in terms of the Lauricella hypergeometric function, which can be evaluated numerically using its integral or converging series representation. The result obtained is then applied to evaluate the symbol error probability (SEP) of general rectangular quadrature amplitude modulation (QAM) constellations over Nakagami-q fading channels. The impact of fading severity (parameter q) on the error performance of the general rectangular QAM system is also investigated.

Keywords

Gaussian processes; Nakagami channels; error statistics; quadrature amplitude modulation; Gaussian Q-functions; Hoyt fading; Lauricella hypergeometric function; Nakagami-q fading; QAM; fading severity; rectangular quadrature amplitude modulation; symbol error probability; Closed-form solution; Error probability; Fading; Nakagami distribution; Performance analysis; Quadrature amplitude modulation; Rayleigh channels; Rician channels; Signal to noise ratio; Statistical analysis;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2007.070832

Filename

4389793