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access icon free FSO communication with EGC diversity receiver over double generalised gamma turbulence channel

© The Institution of Engineering and Technology
Received 25/02/2017, Accepted 16/08/2017, Revised 30/06/2017, Published 18/08/2017

Recently, double generalised gamma (GG) distribution has been proposed as a generic model, to describe the irradiance fluctuations in free-space optical (FSO) communication systems. In this study, first the authors derive an approximate analytical expression for the distribution of the sum of independent but not necessarily identically distributed double GG random variables (RVs), considering the effects of the turbulence and pointing errors. Using well-known Beaulieu series, the authors describe the probability density function (pdf) and the cumulative distribution function (cdf) of the sum of double GG RVs in the form of a convergent series. The authors derive novel, exact closed-form expressions for the coefficients of the series in terms of the Meijer's G-function, which makes it possible to calculate the pdf and cdf of the sum of double GG variates under different turbulence conditions. In the next step, based on the presented results, the authors derive approximate analytical expression for the outage probability of the system and investigate the outage performance of the FSO link with equal-gain combining (EGC) receivers over double GG fading channels with pointing errors. Numerical results are further demonstrated to confirm the analytical results and also to show the good accuracy of the derived expressions.

Inspec keywords: atmospheric optics; optical receivers; atmospheric turbulence; fading channels; free-space optical communication

Other keywords: exact closed-form expressions; probability density function; Meijer G-function; EGC diversity receiver; GG random variables; FSO communication; equal-gain combining receivers; pointing errors; convergent series; double generalised gamma turbulence channel; cumulative distribution function; Beaulieu series; irradiance fluctuations; free-space optical communication systems

Subjects: Free-space optical links; Information theory; Optical communication equipment; Optical communication devices, equipment and systems; Atmospheric optical propagation, radiative transfer

References

    1. 1)
      • 1. Arnon, S., Barry, J., Karagiannidis, G., et al: ‘Advanced optical wireless communication systems’ (Cambridge University Press, 2012, 1st edn.).
    2. 2)
      • 7. Samimi, H.: ‘New statistical model for atmospheric optical scintillation and its applications’, IET Optoelectron., 2013, 7, (2), pp. 31–37.
    3. 3)
      • 13. Soleimani-Nasab, E., Uysal, M.: ‘Generalized performance analysis of mixed RF/FSO cooperative systems’, IEEE Trans. Wirel. Commun., 2016, 15, (1), pp. 714–727.
    4. 4)
      • 24. Peppas, K.P.: ‘A simple, accurate approximation to the sum of gamma–gamma variates and applications in mimo free-space optical systems’, IEEE Photonics Technol. Lett., 2011, 23, (13), pp. 839–841.
    5. 5)
      • 9. Samimi, H., Uysal, M.: ‘End-to-end performance of mixed RF/FSO transmission systems’, J. Opt. Commun. Netw., 2013, 5, (11), pp. 1139–1144.
    6. 6)
      • 6. Chatzidiamantis, N.D., Sandalidis, H.G., Karagiannidis, G.K., et al: ‘New results on turbulence modeling for free-space optical systems’. IEEE 17th Int. Conf. Telecommunications (ICT), April 2010, pp. 487–492.
    7. 7)
      • 5. Al-Habash, M.A., Andrews, L.C., Phillips, R.L.: ‘Mathematical model for the irradiance probability density function of a laser beam propagating through turbulent media’, Opt. Eng., 2001, 40, (8), pp. 1554–1562.
    8. 8)
      • 11. Ansari, I.S., Yilmaz, F., Alouini, M.S.: ‘Performance analysis of free-space optical links over Malaga (M) turbulence channels with pointing errors’, IEEE Trans. Wirel. Commun., 2016, 15, (1), pp. 91–102.
    9. 9)
      • 3. Zhu, X., Kahn, J.M.: ‘Free-space optical communication through atmospheric turbulence channels’, IEEE Trans. Commun., 2002, 50, (8), pp. 1293–1300.
    10. 10)
      • 10. Samimi, H., Uysal, M.: ‘Performance of coherent differential phase-shift keying free-space optical communication systems in M-distributed turbulence’, J. Opt. Commun. Netw., 2013, 5, (7), pp. 1139–1144.
    11. 11)
      • 2. Kavehrad, M.: ‘Sustainable energy-efficient wireless applications using light’, IEEE Commun. Mag., 2010, 48, (12), pp. 66–73.
    12. 12)
      • 14. AlQuwaiee, H., Ansari, I.S., Alouini, M.S.: ‘On the maximum and minimum of double generalized gamma variates with applications to the performance of free-space optical’, IEEE Trans. Veh. Technol., 2016, 65, (11), pp. 8822–8831.
    13. 13)
      • 12. Kashani, M.A., Uysal, M., Kavehrad, M.: ‘A novel statistical channel model for turbulence-induced fading in free-space optical systems’, J. Lightwave Technol., 2015, 33, (11), pp. 2303–2312.
    14. 14)
      • 8. Samimi, H.: ‘Optical communication using subcarrier intensity modulation through generalized turbulence channels’, J. Opt. Commun. Netw., 2012, 4, (5), pp. 378–381.
    15. 15)
      • 4. Jakeman, E., Pusey, P.N.: ‘Significance of k distributions in scattering experiments’, Phys. Rev. Lett., 1978, 40, (9), p. 546.
    16. 16)
      • 16. Aminikashani, M., Kavehrad, M.: ‘Error performance analysis of FSO links with equal gain diversity receivers over double generalized gamma fading channels’. SPIE Photonics West OPTO, 2016.
    17. 17)
      • 15. AlQuwaiee, H., Ansari, I.S., Alouini, M.S.: ‘On the performance of free-space optical communication systems over double generalized gamma channel’, IEEE J. Sel. Areas Commun., 2015, 33, (9), pp. 1829–1840.
    18. 18)
      • 17. Beaulieu, N.C.: ‘An infinite series for the computation of the complementary probability distribution function of a sum of independent random variables and its application to the sum of Rayleigh random variables’, IEEE Trans. Commun., 1990, 38, (9), pp. 1463–1474.
    19. 19)
      • 18. Samimi, H., Azmi, P.: ‘An approximate analytical framework for performance analysis of equal gain combining technique over independent Nakagami, Rician and Weibull fading channels’, Wirel. Pers. Commun., 2007, 43, (4), pp. 1399–1408.
    20. 20)
      • 19. Samimi, H.: ‘Equal-gain combining reception over gamma–gamma turbulence channels with pointing errors’, IET Optoelectron., 2014, 8, (5), pp. 191–195.
    21. 21)
      • 20. Jeffrey, A., Daniel, Z.: ‘Table of integrals, series, and products’ (Academic Press, 1965, 6th edn.).
    22. 22)
      • 22. Sandalidis, H.G., Tsiftsis, T.A., Karagiannidis, G.K., et al: ‘BER performance of FSO links over strong atmospheric turbulence channels with pointing errors’, IEEE Commun. Lett., 2008, 12, (1), pp. 44–46.
    23. 23)
      • 21. Aminikashani, M.: ‘Optical wireless communications: theory and applications’. PhD thesis, 2016.
    24. 24)
      • 23. http://functions.wolfram.com.
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