Closed-form expressions for symbol error probability of orthogonal space-time block codes over Rician-Nakagami channels

Author

Xu, F. ; Yue, D.-W. ; Lau, F.C.M. ; Zhou, Q.F.

Author_Institution

Coll. of Inf. Eng., Dalian Maritime Univ., Dalian

Volume

1

Issue

4

fYear

2007

fDate

8/1/2007 12:00:00 AM

Firstpage

655

Lastpage

661

Abstract

The performances of orthogonal space-time block codes (OSTBCs) over Rician- Nakagami channels are investigated. In particular, we derive closed-form symbol error probability (SEP) expressions for OSTBC systems in which M-ary phase-shift-keying modulation and M-ary quadrature-amplitude modulation are used. These SEP results are expressed in terms of Lauricella´s multivariate hypergeometric functions, which can be easily evaluated numerically. When the Rician-Nakagami channel degenerates to the Rician-Rayleigh channel, or equivalently the Rayleigh fading channel, the closed-form SEP expressions are rewritten in terms of higher transcendental functions, that is, Gauss hypergeometric function and Appell hypergeometric function.

Keywords

Nakagami channels; Rician channels; block codes; error statistics; orthogonal codes; phase shift keying; quadrature amplitude modulation; space-time codes; Appell hypergeometric function; Gauss hypergeometric function; Lauricella multivariate hypergeometric function; M-ary phase-shift-keying modulation; M-ary quadrature-amplitude modulation; Rician-Nakagami channel; Rician-Rayleigh channel; closed-form expression; orthogonal space-time block codes; symbol error probability; transcendental function;

fLanguage

English

Journal_Title

Communications, IET

Publisher

iet

ISSN

1751-8628

Type

jour

DOI

10.1049/iet-com:20060152

Filename

4286619