Results for Infinite Integrals Involving Higher-Order Powers of the Gaussian Q-Function with Application to Average SEP Analysis of DE-QPSK

Author

Radaydeh, Redha M. ; Matalgah, Mustafa M.

Author_Institution

Jordan Univ. of Sci. & Technol. (JUST), Irbid

Volume

7

Issue

3

fYear

2008

fDate

3/1/2008 12:00:00 AM

Firstpage

793

Lastpage

798

Abstract

Exact results are presented for infinite integrals that consist of higher-order powers of the one dimensional Gaussian Q-function averaged over Rayleigh fading envelopes in multi-branch diversity reception with maximal ratio combining (MRC). Some known results for the average of the 1st and 2nd powers are shown as special cases. The results obtained in this paper are utilized to study the average symbol error probability (SEP) performance of differentially encoded quadri-phase shift-keying (DE-QPSK) in Rayleigh fading channels employing MRC, and new exact expressions are presented for different fading scenarios. The derived mathematical expressions are verified using Monte Carlo simulations.

Keywords

Gaussian channels; Monte Carlo methods; Rayleigh channels; error statistics; quadrature phase shift keying; 1D Gaussian Q-function; DE-QPSK; Monte Carlo simulations; average SEP analysis; average symbol error probability; differential encoding; higher-order powers; infinite integrals; maximal ratio combining; multibranch diversity reception; quadri-phase shift-keying; Diversity reception; Error analysis; Error correction codes; Error probability; Fading; Performance analysis; Quadrature amplitude modulation; Rayleigh channels; Statistics; Wireless communication;

fLanguage

English

Journal_Title

Wireless Communications, IEEE Transactions on

Publisher

ieee

ISSN

1536-1276

Type

jour

DOI

10.1109/TWC.2008.060670

Filename

4471994