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Wireless Personal Communications

, Volume 65, Issue 3, pp 643–651 | Cite as

On the Performance Analysis of Digital Modulations in Generalized-K Fading Channels

  • George P. EfthymoglouEmail author
Article

Abstract

In this paper we present novel expressions for several performance metrics of communication systems operating over a composite fading environment modelled by the generalized-K distribution. Initially, for a generalized-K fading channel with arbitrary values for the small and large-scale fading parameters we derive a closed-form expression for the moment generating function (MGF) of the received signal-to-noise ratio (SNR) and utilize it to obtain the exact average symbol error probability for a variety of digital modulations using the MGF based approach. Then, for integer values of the small-scale fading parameter, we derive a novel closed-form expression for the cumulative distribution function of the received SNR, which is then used to obtain closed-form expressions for the outage probability, the average bit error probability of various digital modulations, and the ergodic capacity of the generalized-K fading channel.

Keywords

Generalized-K fading Bit error rate Channel capacity 

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References

  1. 1.
    Shankar P. M. (2004) Error rates in generalized shadowed fading channels. Wireless Personal Communications 28(2): 233–238CrossRefGoogle Scholar
  2. 2.
    Abdi A., Kaveh M. (1998) K distribution: An appropriate substitute for Rayleigh-lognormal distribution in fading-shadowing wireless channels. Electronics Letters 34: 851–852CrossRefGoogle Scholar
  3. 3.
    Bithas P. S., Sagias N. C., Mathiopoulos P. T., Karagiannidis G. K., Rontogiannis A. A. (2006) On the performance analysis of digital communications over generalized-K fading channels. IEEE Communications Letters 10(5): 353–355CrossRefGoogle Scholar
  4. 4.
    Laourine A., Alouini M., Affes S., Stephenne A. (2008) On the capacity of generalized-K fading channels. IEEE Transactions Wireless Communications 7(7): 2441–2445CrossRefGoogle Scholar
  5. 5.
    Tsiftsis T. A. (2008) Performance of heterodyne wireless optical communication systems over gamma- gamma atmospheric turbulence channels. Electronics Letters 44: 373–375CrossRefGoogle Scholar
  6. 6.
    Gradshteyn I. S., Ryzhik I. M. (2007) Table of integrals, series, and products. (7th ed.). Academic Press, New YorkzbMATHGoogle Scholar
  7. 7.
    The Wolfram functions site. [Online]. Available: http://functions.wolfram.com.
  8. 8.
    Simon M. K., Alouini M.-S. (2005) Digital communication over fading channels. (2nd ed.). Wiley, New YorkGoogle Scholar
  9. 9.
    Theofilakos P., Kanatas A., Efthymoglou G. (2008) Performance of generalized selection combining receivers in K fading channels. IEEE Communcations Letters 12(11): 816–818CrossRefGoogle Scholar
  10. 10.
    Abdi A., Kaveh M. (2000) Comparison of DPSK and MSK bit error rates for K and Rayleigh-Lognormal fading distributions. IEEE Communications Letters 4(4): 122–124CrossRefGoogle Scholar
  11. 11.
    Lu J., Letaief K. B., Chuang J. C.-I., Liou M. L. (1999) M-PSK and M-QAM BER computation using signal space concepts. IEEE Transactions Communications 47(2): 181–184CrossRefGoogle Scholar
  12. 12.
    Zhao Y., Adve R., Lim T. J. (2006) Symbol error rate of selection amplify-and-forward relay systems. IEEE Communications Letters 10(11): 757–759CrossRefGoogle Scholar
  13. 13.
    Palat R. C., Annamalai A., Reed J. H. (2008) An efficient method for evaluating information outage probability and ergodic capacity of OSTBC system. IEEE Communications Letters 12(3): 191–193CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC. 2011

Authors and Affiliations

  1. 1.Department of Digital SystemsUniversity of PiraeusPiraeusGreece

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