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access icon free Asymptotic analysis of digital modulations in κ–μ, η–μ and α–μ fading channels

This study derives several new and simple closed-form approximations for the average symbol error rate (ASER) and outage probability performance metrics of digital communication systems (with/without diversity receivers) impaired by additive white Gaussian noise and fading. These approximations utilise the coefficients of the Poincare series expansion for the probability density function (PDF) of signal-to-noise ratio (SNR) random variable in conjunction with Mellin transform of the conditional error probability and/or its auxiliary functions to generalise some of the known asymptotic ASER/outage probability expressions to a wider range of modulation schemes and different types of propagation environments (including κ–μ, η–μ and α–μ fading channels). A new class of asymptotic approximations for the ASER/outage probability is also derived (based on a normalised asymptotic PDF of SNR) that is considerably better than the conventional high-SNR approximation although both techniques need only the first non-zero term of the Maclaurin (if exists) or the Poincare series expansion of the channel PDF. The authors’ also investigate the utility/efficacy of Welch–Satterthwaite and Moschopoulos approximations for yielding accurate predictions of the ASER in the low-SNR regime for different fading environments. Closed-form approximations for the ergodic (average) channel capacities of different types of fading channels with/without diversity reception are also derived.

References

    1. 1)
    2. 2)
    3. 3)
    4. 4)
    5. 5)
    6. 6)
    7. 7)
      • 12. Tellambura, C., Dhungana, Y., Soysa, M.: ‘Uniform approximations for wireless performance in fading, noise and interference’. Proc. IEEE ICC'12: Communications Theory Symp., pp. 2410–2415. Also published in IEEE Trans. Commun., November 2013, vol. 61, pp. 47684779.
    8. 8)
    9. 9)
    10. 10)
      • 23. Simon, M.K., Alouini, M.S.: ‘Digital communication over fading channels’ (Wiley, New York, 2005, 2nd edn.).
    11. 11)
    12. 12)
    13. 13)
    14. 14)
    15. 15)
      • 11. Olabiyi, O., Annamalai, A.: ‘New exponential-type approximations for erfc(.) and erfcp(.) functions with applications’. Proc. Eighth IEEE Int. Conf. on Wireless Communication and Mobile Computing, Cyprus, August 2012, pp. 12211226.
    16. 16)
    17. 17)
      • 15. Welch, B.L.: ‘The generalization of student's problem when several different population variances are involved’, Biometrika, 1947, 34, pp. 2835.
    18. 18)
      • 5. Annamalai, A., Buehrer, M.: ‘Tutorial notes on ‘space-time processing’ presented at the MPRG annual symposium/wireless summer school, June 2005.
    19. 19)
    20. 20)
    21. 21)
    22. 22)
      • 20. Gradsteyn, I., Ryzhik, I.: ‘Table of integrals, series and products’ (Academic Press, 2007, 7th edn.).
    23. 23)
    24. 24)
    25. 25)
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-com.2014.0388
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