SpringerLink
Log in

Bit-Error Probability of Asynchronous Multicode DS-CDMA Systems in Rayleigh Fading

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

A precise bit-error probability analysis method for multicode DS-CDMA systems in Rayleigh fading is derived. The proposed method applies to a multicode DS-CDMA system with an arbitrary number of multiple code sequences and any selection of multiple code sequences. The method gives accurate results for Rayleigh fading while requiring only a single numerical integration of an integrand involving the well-known Q-function. The solution discriminates the effect of the selection of different multiple code sequences on the bit-error probability, whereas Gaussian approximations do not. Numerical examples show that the differences between exact and approximate methods for a multicode DS-CDMA system operating over Rayleigh fading channels may be more significant than for a single code system in Rayleigh fading channels or for a multicode system in AWGN channels when the spreading factor is not significantly large compared to the number of multiple code sequences.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Steele R., Lee C.-C., Gould P. (2001) GSM, cdmaOne, and 3G Systems. Wiley, England

    Book  Google Scholar 

  2. Liu Z., Karol M.J., Zarki M.E., Eng K.Y. (1996) Channel access and interference issues in multi-code DS-CDMA wireless packet (ATM) networks. Wireless Networks 2: 173–193

    Article  Google Scholar 

  3. Fong M.-H., Bhargava V.K., Wang Q. (1996) Concatenated orthogonal/PN spreading sequences and their application to cellular DS-CDMA systems with integrated traffic. IEEE Journal on Selected Areas in Communications 14: 547–558

    Article  Google Scholar 

  4. Lee S.J., Lee H.W., Sung D.K. (1999) Capacities of single-code and multicode DS-CDMA systems accommodating multiclass services. IEEE Transactions on Vehicular Technology 48(2): 376–384

    Article  Google Scholar 

  5. Kim D.K., Sung D.K. (2001) Capacity estimation for a multicode CDMA system with SIR-based power control. IEEE Transactions on Vehicular Technology 50(3): 701–710

    Article  Google Scholar 

  6. Kang C.S., Sung D.K. (2002) Capacities of spectrally overlaid single-code and multicode CDMA systems. IEEE Transactions on Vehicular Technology 51(5): 839–854

    Article  Google Scholar 

  7. Kim D.I., Hossain E., Bhargava V.K. (2003) Dynamic rate adaptation based on multidimensional multicode DS-CDMA in cellular wireless networks. IEEE Transactions on Communications 51(2): 247–260

    Article  Google Scholar 

  8. Zhang R., Tjhung T.T., Zhang H.B., He P. (2001) BEP performance comparison of single code and multicode DS/CDMA channelization schemes for high rate data transmission. IEEE Communications Letters 5(2): 67–69

    Article  Google Scholar 

  9. Lee S.J., Kim T.S., Sung D.K. (2001) Bit-error probabilities of multicode direct-sequence spread-spectrum multiple-access systems. IEEE Transactions on Communications 49(1): 31–34

    Article  MATH  Google Scholar 

  10. Morrow R.K. Jr., Lehnert J.S. (1989) Bit-to-bit error dependence in slotted DS/SSMA packet systems with random signature sequences. IEEE Transactions on Communications 37(10): 1052–1061

    Article  Google Scholar 

  11. Holtzman J.M. (1992) A simple, accurate method to calculate spread-spectrum multiple-access error probabilities. IEEE Transactions on Communications 40: 461–464

    Article  MATH  Google Scholar 

  12. Lee, S. J., & Beaulieu, N. C. (2005). Error rate analysis of asynchronous multicode DS-CDMA systems. In. Proc. IEEE GLOBECOM2005, November 28–December 2, 2005, St. Louis, Missouri.

  13. Lee S.J., Beaulieu N.C. (2006) Precise analysis of bit-error probability for asynchronous multicode DS-CDMA systems. IEEE Transactions on Communications 54(4): 637–647

    Article  Google Scholar 

  14. Cheng J., Beaulieu N.C. (2002) Accurate DS-CDMA bit-error probability calculation in Rayleigh fading. IEEE Transactions on Wireless Communications 1: 3–15

    Article  Google Scholar 

  15. Papoulis, A., & Pillai, S. U. (2002). Probability, random variables, and stochastic processes, 4th ed., McGraw-Hill.

  16. Lehnert J.S., Pursley M.B. (1987) Error probabilities for binary direct-sequence spread-spectrum communications with random signature sequences. IEEE Transactions on Communications COM-35: 87–98

    Article  Google Scholar 

  17. Pursley M.B. (1977) Performance evaluation for phase-coded spread-spectrum multiple-access communication—Part I: System analysis. IEEE Transactions on Communications COM-25: 795–799

    Article  Google Scholar 

  18. Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (1992). Numerical recipes in C: The art of scientific computing, 2nd ed., U.K.: Cambridge.

  19. Kreyszig, E. (1984) Advanced engineering mathematics, 4th ed., Wiley.

Download references

Author information

Authors and Affiliations

  1. Department of Electrical & Electronic Engineering, Kangwon National University, Chuncheon, Korea

    Seung Joon Lee

  2. iCORE Wireless Communications Laboratory, University of Alberta, Edmonton, Alberta, Canada

    Norman C. Beaulieu

Authors
  1. Seung Joon Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Norman C. Beaulieu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Seung Joon Lee.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, S.J., Beaulieu, N.C. Bit-Error Probability of Asynchronous Multicode DS-CDMA Systems in Rayleigh Fading. Wireless Pers Commun 52, 799–812 (2010). https://doi.org/10.1007/s11277-009-9663-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-009-9663-x

Keywords

Search

Navigation