Skip to main content
Log in

Performance Evaluation of Multiple-Cell DS-CDMA Systems Over Correlated Nakagami-m Fading Environments

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

In this paper, the impact of the branch correlation on the performance of multiple-cell DS-CDMA cellular systems over Nakagami-m fading channels with arbitrary branch correlation is investigated. The received multipath-faded signals are assumed to experience identical but non-independent correlated Nakagami-m channels within the reference cell. A new closed-form formula for the joint probability density function (joint pdf) of the diversity combiner with arbitrary correlation coefficients in terms of the generalized Laguerre polynomial and the new expressions of average bit-error rate (BER) for the DS-CDMA system are given in this paper. The results, which were also compared with the performance of the single cell environments, demonstrate that the BER is significantly dependent on the correlation characteristic of diversity branching for both single-cell and multiple-cell environments.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Price and P.E. Green, “A Communication Technique for Multipath Channels”, Proceeding of the IRE, Vol.~46, pp. 555–570, 1958.

    Google Scholar 

  2. P. Lombardo, G. Fedele, and M.M. Rao, “MRC Performance for Binary Signals in Nakagami Fading with General Branch Correlation”, IEEE Transactions on Communications, Vol. 47, No. 1, pp. 44–52, 1999.

    Article  Google Scholar 

  3. B. Natarajan, C.R. Nassar, and V. Chandrasekhar, “Generation of Correlated Rayleigh Fading Envelope for Spread Spectrum Applications”, IEEE Communications Letters, Vol. 4, No. 1, pp. 9–11, 2000.

    Article  Google Scholar 

  4. M. Nakagami, “The m-distribution-A General Formula of Intensity Ddistribution of Rapid Fading”, in Statistical Methods in Radio Wave Propagation, Permagon, Oxford, U.K., pp. 3–36, 1960.

    Google Scholar 

  5. V.A. Aalo, “Performance of Maximal-Ratio Diversity Systems in a Correlated Nakagami-Fading Environment”, IEEE Transactions on Communications, Vol. 43, pp. 2360–2369, 1995.

    Article  Google Scholar 

  6. Q.T. Zhang, “Maximal-Ratio Combining Over Nakagami Fading Channels with an Arbitrary Branch Covariance Matrix”, IEEE Transactions on Vehicular Technology, Vol. 48, No. 4, pp. 1142–1149, 1999.

    Google Scholar 

  7. F. Patenaude, J.H. Lodge, and J. Chouinard, “Noncoherent Diversity Reception over Nakagami-Fading Channels”, IEEE Transactions on Communications Vol. 46, No. 8, pp. 985–991, 1998.

    Article  Google Scholar 

  8. N.H.L. Chan and P.T. Mathiopoulos, “Efficient Video Transmission over Correlated Nakagami Fading Channels for IS-95 CDMA Systems”, IEEE Journal on Selected Areas in Communications, Vol. 18, No. 6, pp. 996–1011, 2000.

    Article  Google Scholar 

  9. E.K. Al-Hussaini and I.M. Sayed, “Selection and MRC Diversity for a DS/CDMA Mobile Radio System through Nakagami Fading Channel”, Wireless Personal Communications, Vol. 16, pp. 115–133, 2001.

    Article  Google Scholar 

  10. Y. Yang, J.I.Z. Chen, and J.C. Liu, “Performance Analysis of DS-CDMA System over Correlated Nakagami Fading Channel”, Journal Chung Cheng Institute of Technology, Vol. 30, No. 1, pp. 143–158, 2001.

    Google Scholar 

  11. Q.T. Zhang, “A Generic Correlated Nakagami Fading Model for Wireless Communications”, IEEE Transactions on Communications, Vol. 51, No. 11, pp. 1745–1748, 2003.

    Article  Google Scholar 

  12. N. Eng and L.B. Milstein, “Coherent DS-CDMA Performance in Nakagami Multipath Fading”, IEEE Transactions on Communications, Vol. Com-43, pp. 1134–1143, 1995.

    Article  Google Scholar 

  13. W.C.Y. Lee, “Effect of Correlation Between Two Mobile Radio Base-Station Antennas”, IEEE Transactions on Communications, Vol. Com-21, pp. 1214–1224, 1973.

    Article  Google Scholar 

  14. M.S. Alouini and A. Goldsmith, “A Unified Approach for Calculating the Error Rates of Linearly Modulated Signals over Generalized Fading Channels”, in Proceedings of IEEE International Conference on Communications (ICC’98), Atlanta, GA, pp. 459–464, 1998.

  15. A.S. Krishnamoorthy and M. Parthasarathy, “A Multivariate Gamma-Type Distribution”, Annals of Mathematical Statistics, Vol. 22, pp. 549–557, 1951.

    Google Scholar 

  16. H. Buchholz, The Confluent Hypergeometric Function, Chapter IV, Springer-Verlag, Berlin, Heidelberg, New York, pp. 90–132, 1969.

    Google Scholar 

  17. M.H. Fong, V.K. Bhargava, and Q. Wang, “Concatenated Orthogonal/PN Spreading Sequences and Their Application to a Cellular DS-CDMA System with Integrated Traffic”, IEEE Journal on Selected Areas in Communication, Vol. 14, No. 3, pp. 547–558, 1996.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Joy Iong-Zong Chen.

Additional information

Joy I. Z. Chen was born in Taiwan. He received his B.Sc degree in electronics engineering from the National Taiwan Technical University, Taipei, Taiwan, and M.Sc degree in electrical engineering from the Da Yeh University, Chung Hwa, Taiwan, in 1985 and 1995, respectively, and Ph.D. degree in electrical engineering from National Defense University, Tao-Yuan, Taiwan, in 2001.

He is currently an assistant professor of Department of Communication Engineering, Da Yeh University at Chang-Hwa Taiwan. Prior to joining the Da Yeh University, he worked at the Control Data Company (Taiwan) as a technical manager since September 1985–September 1996. His research interests include wireless communications, communication theory, and spread spectrum technical.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, J.IZ. Performance Evaluation of Multiple-Cell DS-CDMA Systems Over Correlated Nakagami-m Fading Environments. Wireless Pers Commun 33, 21–34 (2005). https://doi.org/10.1007/s11277-005-7199-2

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-005-7199-2

Keywords

Navigation