Skip to main content
SpringerLink
Log in

On the Error Performance of M-ary Modulation Schemes on Rician–Nakagami Fading Channels

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

This paper presents exact expressions for the average error performance of various M-ary modulation schemes over Rician–Nakagami fading channels. The expressions for average symbol error probability (SEP) are given in terms of Lauricella’s multivariate hypergeometric function, which can be evaluated numerically using its integral or converging series representation. Furthermore, we show that the derived expressions include some previously published results for Rayleigh fading as special cases.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Simon M.K., Alouini M.-S.: Digital communication over fading channels (Second ed). Wiley, New York (2005)

    Google Scholar 

  2. Abdi A., Lau W.C., Alouini M.-S., Kaveh M.: A new simple model for land mobile satellite channels: First- and second-order statistics. IEEE Transactions On Wireless Communications 2(3), 519–528 (2003)

    Article  Google Scholar 

  3. Uysal M.: Pairwise error probability of space-time codes in Rician–Nakagami channels. IEEE Communications Letters 8(3), 132–134 (2004)

    Article  Google Scholar 

  4. Kim I.M.: Exact BER analysis of OSTBCs in spatially correlated MIMO channels. IEEE Transactions On Communications 54(8), 1365–1373 (2006)

    Article  Google Scholar 

  5. Alouini M., Goldsimith A.: A unified approach for calculating error rates of linearly modulated signals in generalized fading channel. IEEE Transactions on Communications 47(9), 1324–1334 (1999)

    Article  Google Scholar 

  6. Shin H., Lee J.H.: On the error probability of binary and M-ary signals in Nakagami-m fading channels. IEEE Transactions On Communications 52(4), 536–539 (2004)

    Article  Google Scholar 

  7. Efthymoglou G.P., Piboongungon T., Aalo V.A.: Error rates of M-ary signals with multichannel reception in Nakagami-m fading channels. IEEE Communications Letters 10(2), 100–102 (2006)

    Article  Google Scholar 

  8. Radaydeh R.M.: Average error performance of M-ary modulation schemes in Nakagami-q (Hoyt) fading channels. IEEE Communications Letters 11(3), 255–257 (2007)

    Article  Google Scholar 

  9. Xu F., Yue D.-W., Lau F.C.M., Zhou Q.F.: Closed-form expressions for symbol error probability of orthogonal space–time block codes over Rician–Nakagami channels. IET Communications 1(4), 655–661 (2007)

    Article  MathSciNet  Google Scholar 

  10. Annamalai A., Tellambura C.: Error rates for Nakagami-m fading multichannel reception of binary and M-ary signals. IEEE Transactions On Communications 49(1), 58–68 (2001)

    Article  MATH  Google Scholar 

  11. Exton H.: Multiple hypergeometric functions and applications. Wiley, New York (1976)

    MATH  Google Scholar 

  12. Lei X., Fan P., Chen Q.C.: On the average of the product of two Gaussian-Q functions over Nakagami-q fading and its application. IEEE Communications Letters 11(10), 585–587 (2007)

    Article  Google Scholar 

  13. Maaref, A., & Aissa, S. (2007). Exact error probability analysis of orthogonal space–time block codes with arbitrary rectangular QAM over MIMO Nakagami-m fading channels. Proceedings of IEEE Wireless Communications and Networking Conference (WCNC) (pp. 768–772), Hong Kong.

  14. Beaulieu N.C.: A useful integral for wireless communication theory and its application to rectangular signaling constellation error rates. IEEE Transactions On Communications 54(5), 802–805 (2006)

    Article  Google Scholar 

  15. Prudnikov A.P., Brychov Y.A., Marichev O.I.: Integrals and series (Vol. 3). Gordon Breach Science Publishers, Amsterdam (1986)

    Google Scholar 

  16. Ekanagake N.: Performance of M-ary PSK signals in slow Rayleigh fading channels. Electronics Letters 26(10), 618–619 (1990)

    Article  Google Scholar 

  17. Wojnar A.H.: Unkown bounds on performance in Nakagami channels. IEEE Transactions On Communications 34(1), 22–24 (1986)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, 610031, Chengdu, China

    Xianfu Lei & Pingzhi Fan

Authors
  1. Xianfu Lei
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pingzhi Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xianfu Lei.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lei, X., Fan, P. On the Error Performance of M-ary Modulation Schemes on Rician–Nakagami Fading Channels. Wireless Pers Commun 53, 591–602 (2010). https://doi.org/10.1007/s11277-009-9705-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-009-9705-4

Keywords

Search

Navigation