Solutions to Infinite Integrals of Gaussian Q-Function Products and Some Applications

Author

Chen, Yunfei ; Beaulieu, Norman C.

Author_Institution

Univ. of Warwick, Coventry

Volume

11

Issue

11

fYear

2007

fDate

11/1/2007 12:00:00 AM

Firstpage

853

Lastpage

855

Abstract

Infinite integrals involving the products of two and three Gaussian Q-functions of different arguments are solved in closed-form. These solutions provide novel expressions in the error rate analyses of signals such as general rectangular quadrature amplitude modulation, differentially encoded quaternay phase shift keying and new solutions for the error rate of the repetition code. As an example, closed-form expressions for the average symbol error rates of general rectangular quadrature amplitude modulation and the repetition code are obtained for a Nakagami-m fading channel.

Keywords

Gaussian processes; Nakagami channels; error statistics; integral equations; quadrature amplitude modulation; Nakagami-m fading channel; error rate analysis; gaussian Q-function products closed-form solution; infinite integrals; quaternay phase shift keying; rectangular quadrature amplitude modulation; repetition code; symbol error rates; AWGN; Closed-form solution; Error analysis; Fading; Frequency shift keying; Phase shift keying; Quadrature amplitude modulation; Quality of service; Signal analysis; Signal to noise ratio;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2007.070947

Filename

4381366