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

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

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  • Author(s): F. Xu 1 ; D.-W. Yue 1 ; F.C.M. Lau 2 ; Q.F. Zhou 2
    • View affiliations
    • Affiliations: 1: College of Information Engineering, Dalian Maritime University, Dalian, People's Republic of China
      2: Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong, People's Republic of China
  • Source: Volume 1, Issue 4, August 2007, p. 655 – 661
    DOI:  10.1049/iet-com:20060152 , Print ISSN 1751-8628, Online ISSN 1751-8636
© The Institution of Engineering and Technology
Published

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.

Inspec keywords: Nakagami channels; block codes; orthogonal codes; quadrature amplitude modulation; Rician channels; error statistics; space-time codes; phase shift keying

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

Subjects: Codes; Radio links and equipment; Other topics in statistics

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