Skip to main content
SpringerLink
Log in

A class of generalized models for shadowed fading channels

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

The commonly used models for shadowed fading channels arise by compounding the Nakagami distribution with others such as the log-normal and gamma distributions. A distribution that is more flexible than the Nakagami distribution is the well known Weibull distribution. In this paper, we derive a collection of generalized models for shadowed fading channels by compounding the Weibull distribution with other distributions belong to some fifteen flexible families. We also illustrate the superior performance of these models over the standard Nakagami models.

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

References

  1. Nakagami M. (1960). The m–distribution. A general formula for intensity distribution of rapid fading. In: Statistical methods in radio wave propoagation. New York, NY: Pergamon.

  2. Simon M.K., Alouni M.-S. (2000). Digital communication over fading channels: a unified approach to performance analysis. New York, NY, John Wiley and Sons

    Google Scholar 

  3. Suzuki H. (1977). A statistical model for urban radio propagation. IEEE Transactions on Communications 25: 673–680

    Article  Google Scholar 

  4. Tjhung T.T., Chai C.C. (1999). Fade statistics in Nakagami–lognormal channels. IEEE Transactions on Communications 47: 1769–1772

    Article  Google Scholar 

  5. Abdel–Hafez M., Safak M. (1999). Performance analysis of digital cellular systems in Nakagami fading and correlated shadowing environment. IEEE Transactions on Vehicular Technology 48: 1381–1391

    Article  Google Scholar 

  6. Murthy D.N.P., Xie M., Jiang R. (2004). Weibull models. New York, John Wiley and Sons

    MATH  Google Scholar 

  7. Johnson N.L., Kotz S., Balakrishnan N. (1994). Continuous univariate distributions (Vol. 1, 2nd edn.). New York, John Wiley and Sons

    MATH  Google Scholar 

  8. Johnson N.L., Kotz S., Balakrishnan N. (1995) Continuous univariate distributions (Vol. 2, 2nd edn.). New York, John Wiley and Sons

    MATH  Google Scholar 

  9. Prudnikov A.P., Brychkov Y.A., Marichev O.I. (1986) Integrals and series (Vol. 1). Amsterdam, Gordon and Breach Science Publishers

    MATH  Google Scholar 

  10. Gradshteyn I.S., Ryzhik I.M. (2000). Table of integrals, series, and products (6th edn.). San Diego CA, Academic Press

    MATH  Google Scholar 

  11. Alouini M.-S., Goldsmith, A.J. (2000). Adaptive modulation over Nakagami fading channels. Wireless Personal Communications 13: 119–143

    Article  Google Scholar 

  12. Li W., Zhang H., Gulliver T.A. (2006). Capacity and error probability for maximal ratio combining reception over correlated Nakagami fading channels. Wireless Personal Communications 37: 73–89

    Article  Google Scholar 

  13. Al-Hussaini E.K., Al-Bassiouni A.M., Mourad H.M., Al-Shennawy H. (2002). Composite macroscopic and microscopic diversity of sectorized macrocellular and microcellular mobile radio systems employing rake receiver over Nakagami fading plus lognormal shadowing channel. Wireless Personal Communications 21: 309–328

    Article  Google Scholar 

  14. Kostic, I. M. (2006). Composite phase PDF in gamma shadowed Nakagami fading channel. Wireless Personal Communications. doi: 10.1007/s11277-006-9153-3.

  15. Saaifan, K. A., & Al-Hussaini, E. K. (2006). Diversity reception of an asynchronous blind adaptive multiuser detector through correlated Nakagami fading channel. Wireless Personal Communications. doi: 10.1007/s11277-006-9120-z.

  16. Chai C.C., Tjhung T.T. (2001). Error probabilities for MRC diversity reception of MDPSK in slow Nakagami fading. Wireless Personal Communications 16: 149–172

    Article  Google Scholar 

  17. Shankar P.M. (2004). Error rates in generalized shadowed fading channels. Wireless Personal Communications 28: 233–238

    Article  Google Scholar 

  18. Sathyendran A., Sowerby K.W., Shafi M. (1997). Interference modelling in DS/CDMA cellular systems operating in a general fading environment. Wireless Personal Communications 5: 279–301

    Article  Google Scholar 

  19. Yang Y., Chen J.I.-Z., Liu J.-C. (2003). Ordered statistic analysis for diversity combining schemes over Nakagami–m fading channel. Wireless Personal Communications 24: 463–481

    Article  Google Scholar 

  20. Hu H., Zhu J. (2005). Performance analysis of distributed-antenna communication systems using beam–hopping under strong directional interference. Wireless Personal Communications 32: 89–105

    Article  Google Scholar 

  21. Chen J.I.-Z. (2005). Performance evaluation of multiple-cell DS-CDMA systems over correlated Nakagami–m fading environments. Wireless Personal Communications 33: 21–34

    Article  Google Scholar 

  22. Yang Y., Jong S.-L., Liu J.-C., Liu C.-H. (2003) Performance of up-link MC-CDMA System with frequency offset and imperfect channel estimation simultaneously over Nakagami fading channels. Wireless Personal Communications 27: 247–265, November

    Article  Google Scholar 

  23. Al-Hussaini E.K., Sayed I.M., Saad E.-S.M. (2001). Selection and MRC diversity for a DS/CDMA mobile radio system through Nakagami fading channel. Wireless Personal Communications 16: 115–133

    Article  Google Scholar 

  24. Fedele G. (1998). Switched dual diversity reception of M-ary DPSK signals on Nakagami fading channels. Wireless Personal Communications 8: 53–72

    Article  Google Scholar 

  25. Chen, J. I.-Z. (2006). The impact on channel correlation for MC-DS-CDMA system in small-scale fading environments. Wireless Personal Communications. doi: 10.1007/s11277-006-9154-2.

Download references

Author information

Authors and Affiliations

  1. University of Manchester, Manchester, M60 1QD, UK

    Saralees Nadarajah

  2. George Washington University, Washington, DC, 20052, USA

    Samuel Kotz

Authors
  1. Saralees Nadarajah
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Samuel Kotz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Saralees Nadarajah.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nadarajah, S., Kotz, S. A class of generalized models for shadowed fading channels. Wireless Pers Commun 43, 1113–1120 (2007). https://doi.org/10.1007/s11277-007-9287-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-007-9287-y

Keywords

Search

Navigation