Advertisement

Bit Error Probability of M-Ary PSK with MRC Diversity Reception over Nakagami-m Fading Channel Using Simple Bounds on Gaussian Q -Function

  • Vinay Kumar Pamula
  • Srinivasa Rao Vempati
  • Anil Kumar Tipparti
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 134)

Abstract

This paper presents a study on the performance of Maximal Ratio Combiner (MRC) diversity scheme over frequency-nonselective, slowly fading Nakagami-m multipath fading channel. Expressions for average bit error probability (BEP) during system outage are derived for M-ary Phase Shift Keying (PSK) coherent modulation scheme using the Chernoff bound and, simple and very tight bounds on Gaussian Q-function given by [1]. Expressions obtained are numerically evaluated to study the effect of fading parameter and diversity order.

Keywords

Bit error probability maximal ratio combiner Nakagami-m distribution 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    de Abreu, G.T.F.: Supertight algebraic bounds on the Gaussian Q-function. In: Forty-Third Asilomar Conference on Signals, Systems and Computers, pp. 948–951 (2009)Google Scholar
  2. 2.
    Goldsmith, A.: Wireless Communications. Cambridge University Press (2005)Google Scholar
  3. 3.
    Femenias, G.: MGF-based performance analysis of selection diversity with switching constraints in nakagami fading. IEEE Transactions on Wireless Communications 5(9), 2328–2333 (2006)CrossRefGoogle Scholar
  4. 4.
    Simon, M.K., Alouini, M.-S.: Digital Communications Over Fading Channels. John Wiley & Sons (2000)Google Scholar
  5. 5.
    Stuber, G.L.: Principles of Mobile Communications. Kluwer Academic Publishers (2002)Google Scholar
  6. 6.
    Tellambura, C., Mueller, A.J., Bhargawa, V.K.: Analysis of M-ary phase-shift keying with diversity reception for land-mobile satellite channels. IEEE Transactions on Vehicular Technology 46(4), 910–922 (1997)CrossRefGoogle Scholar
  7. 7.
    Sharma, P.: Selection of diversity and modulation parameters for Nakagami fading channels to jointly satisfy outage and bit error requirements. IEEE Transactions on Wireless Communications 5(6), 1279–1283 (2006)CrossRefGoogle Scholar
  8. 8.
    de Abreu, G.T.F.: Jensen-cotes upper and lower bounds on the gaussian Q-function and related functions. IEEE Transactions on Communications 57(11), 3328–3338 (2009)CrossRefGoogle Scholar
  9. 9.
    Aalo, V.A., Efthymoglou, G.P.: On the MGF and BER of Linear Diversity Schemes in Nakagami Fading Channels with Arbitrary Parameters. In: IEEE 69th Vehicular Technology Conference, pp. 1–5 (2009)Google Scholar
  10. 10.
    Proakis, J.G.: Digital Communications, 4th edn. McGraw Hill (2001)Google Scholar
  11. 11.
    Poularikas, A.D.: The Handbook of Formulas and Tables for Signal Processing. CRC Press (1999)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Vinay Kumar Pamula
    • 1
  • Srinivasa Rao Vempati
    • 1
  • Anil Kumar Tipparti
    • 2
  1. 1.Department of ECEKL UniversityGunturIndia
  2. 2.Department of ECETRR Engineering CollegePatancheruIndia

Personalised recommendations