Nothing Special   »   [go: up one dir, main page]
Skip to main content
Springer Nature Link
Log in

An Outage Analysis of Multibranch Diversity Receivers with Cochannel Interference in α-μ, κ-μ, and η-μ Fading Scenarios

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

Wireless communications systems in a frequency reuse environment are subject to cochannel interference. In order to improve the system performance, diversity techniques are deployed. Among the practical diversity schemes used, Equal-Gain Combining (EGC) appears as a reasonably simple and effective one. Unfortunately, the exact analysis of the outage probability of EGC receivers is rather intricate for it involves the evaluation of multifold nested integrals. It becomes mathematically intractable with the increase of the number of diversity branches and/or interferers. For example, for N B diversity branches and N I arbitrary independent cochannel interferers, the exact formulation using the convolutional approach requires 2 + N B  + (N B × N I ) nested integrals, which, very quickly, and for any practical system, turns out to be mathematically intractable. In this paper, we propose accurate approximate formulations for this problem, whose results are practically indistinguishable from the exact solution. In our model, the system is composed by N B branches and N I interferers so that the desired signals are coherently summed, whereas the interfering signals are incoherently summed at the EGC receiver. Three sets of fading scenarios, namely α-μ , κ-μ, and η-μ, are investigated. The proposed approach is indeed flexible and accommodates a variety of mixed fading scenarios for desired and interfering signals.

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
$34.99 /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 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. Sowerby K. W., Williamson A. G. (1988) Outage probability calculations for multiple cochannel interferers in cellular mobile radio systems. Proceedings Institute of Electrical Engineering—Radar and Signal Processing 135(3): 208–215

    Article  Google Scholar 

  2. Yao Y. -D., Sheikh A. U. H. (1992) Investigations into cochannel interference in microcellular mobile radio systems. IEEE Transactions on Vehicular Technology 41(2): 114–123

    Article  Google Scholar 

  3. Proakis J. G. (2001) Digital communications. McGraw-Hill, New York

    Google Scholar 

  4. Nakagami, M. (1960) The m-distribution: A general formula of intensity distribution of rapid fading. In Hoffman, W. C. Statistical methods in radio wave propagation. Pergamon, Elmsford, NY

  5. Reig J., Cardona N. (2000) Nakagami-m approximate distribution of sum of two correlated Nakagami-m correlated variables. IET Electronics Letters 36(11): 978–980

    Article  Google Scholar 

  6. Hu J., Beaulieu N. C. (2005) Accurate simple closed-form approximations to Rayleigh sum distributions and densities. IEEE Communications Letters 9(2): 109–111

    Article  Google Scholar 

  7. Hu J., Beaulieu N. C. (2005) Accurate closed-form approximations to Ricean sum distributions and densities. IEEE Communications Letters 9(2): 133–135

    Article  Google Scholar 

  8. Santos Filho J. C. S., Yacoub M. D. (2006) Simple precise approximations to Weibull sums. IEEE Communications Letters 10(8): 614–616

    Article  Google Scholar 

  9. Santos Filho J. C. S., Yacoub M. D. (2004) Nakagami-m approximation to the sum of M non-identical independent Nakagami-m variates. IET Electronics Letters 40(15): 951–952

    Article  Google Scholar 

  10. Santos Filho J. C. S., Yacoub M. D. (2005) Highly accurate κ−μ approximation to sum of M independent non-identical Ricean variates. IET Electronics Letters 41(6): 338–339

    Article  Google Scholar 

  11. Santos Filho J. C. S., Yacoub M. D. (2005) Highly accurate η−μ approximation to the sum of M independent non-identical Hoyt variates. IEEE Antennas and Wireless Propagation Letters 4: 436–438

    Article  Google Scholar 

  12. Coleman T. F., Li Y. (1996) An interior trust region approach for nonlinear minimization subject to bounds. SIAM Journal on Optimization 6: 418–445

    Article  MathSciNet  MATH  Google Scholar 

  13. Shah A., Haimovich A. M. (2000) Performance analysis of maximal ratio combining and comparison with optimum combining for mobile radio communications with cochannel interference. IEEE Transactions on Vehicular Technology 49(4): 1454–1463

    Article  Google Scholar 

  14. Aalo V. A., Zhang J. (2001) Performance analysis of maximal ratio combining in the presence of multiple equal-power cochannel interferers in a Nakagami fading channel. IEEE Transactions on Vehicular Technology 50(2): 497–503

    Article  Google Scholar 

  15. Yang L., Alouini M.-S. (2004) On the average outage rate and average outage duration of wireless communication systems with multiple cochannel interferers. IEEE Transactions on Wireless Communication 3(4): 1142–1153

    Article  Google Scholar 

  16. Abu-Dayya A. A., Beaulieu N. C. (1992) Outage probabilities of diversity cellular systems with cochannel interference in Nakagami fading. IEEE Transactions on Vehicular Technology 41(4): 343–355

    Article  Google Scholar 

  17. Song Y., Blostein S. D., Cheng J. (2003) Exact outage probability for equal gain combining with cochannel interference in Rayleigh fading. IEEE Transactions on Wireless Communication 2(5): 865–870

    Article  Google Scholar 

  18. Hadzi-Velkov Z. (2007) Level crossing rate and average fade duration of EGC systems with cochannel interference in Rayleigh fading. IEEE Transactions on Communication 55(11): 2104–2113

    Article  Google Scholar 

  19. Tellambura C., Annamalai A. (2000) Further results on the Beaulieu series. IEEE Transactions on Communication 48(11): 1774–1777

    Article  MATH  Google Scholar 

  20. da Costa D. B., Yacoub M. D., Santos Filho J. C. S. (2008) Highly accurate closed-form approximations to the sum of α−μ variates and applications. IEEE Transactions on Wireless Communication 7(9): 3301–3306

    Article  Google Scholar 

  21. da Costa D. B., Yacoub M. D. (2009) Accurate aproximations to the sums of generalized random variables and applications in the performance analysis of diversity systems. IEEE Transactions on Communication 57(5): 1271–1274

    Article  Google Scholar 

  22. Yacoub M. D. (2007) The α−μ distribution: A physical fading model for the Stacy distribution. IEEE Transactions on Vehicular Technology 56(1): 27–34

    Article  Google Scholar 

  23. Yacoub M. D. (2007) The κ−μ distribution and the η−μ distribution. IEEE Antennas and Propagation Magazine 49(1): 68–81

    Article  Google Scholar 

  24. Abramowitz M., Stegun I. A. (1972) Handbook of mathematical functions with formulas, graphs, and mathematical tables. Dover, New York

    MATH  Google Scholar 

  25. Jiménez D. M., Paris J. F. (2010) Outage probability analysis for η− μ fading channels. IEEE Communications Letters 14(6): 521–523

    Article  Google Scholar 

  26. Simon M. K., Alouini M. -S. (2000) Digital communications over fading channels: A unified approach to performance analyis. Wiley, New York

    Book  Google Scholar 

  27. Tellambura C., Annamalai A. (1999) An unified numerical approach for computing the outage probability for mobile radio systems. IEEE Communications Letters 3(4): 97–99

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Agency of Telecommunications (Anatel), Brasilia, DF, Brazil

    Alexandre Campos Moraes

  2. Federal University of Ceara (UFC), Sobral, CE, Brazil

    Daniel Benevides da Costa

  3. State University of Campinas (UNICAMP), Campinas, SP, Brazil

    Michel Daoud Yacoub

Authors
  1. Alexandre Campos Moraes
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Daniel Benevides da Costa
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Michel Daoud Yacoub
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Michel Daoud Yacoub.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moraes, A.C., da Costa, D.B. & Yacoub, M.D. An Outage Analysis of Multibranch Diversity Receivers with Cochannel Interference in α-μ, κ-μ, and η-μ Fading Scenarios. Wireless Pers Commun 64, 3–19 (2012). https://doi.org/10.1007/s11277-012-0513-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-012-0513-x

Keywords

Search

Navigation