Abstract
This paper presents an in-depth analysis of the outage performance in a dual-hop mixed communication system that combines Free Space Optical (FSO) and Underwater Optical Communication (UWOC) links. The closed-form expressions of the outage probability of the system are derived, while considering practical channel conditions. Specifically, the FSO hop is modeled using Gamma–Gamma statistics to account for pointing errors and atmospheric turbulence, while the UWOC channel follows an Exponential Generalized Gamma (EGG) fading distribution to capture underwater impairments. To validate the analytical results, extensive numerical simulations are conducted, highlighting the impact of key parameters – such as path loss, scintillation, angle-of-arrival variations, water salinity, and pointing instability – on the performance of the considered system.
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Research ethics: Not applicable.
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Informed consent: Not applicable.
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Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Use of Large Language Models, AI and Machine Learning Tools: None declared.
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Conflict of interest: All other authors state no conflict of interest.
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Research funding: None declared.
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Data availability: Not applicable.
References
1. Soleimani-Nasab, E, Uysal, M. Generalized performance analysis of mixed RF/FSO cooperative systems. IEEE Trans Wireless Commun 2016;15:714–27. https://doi.org/10.1109/twc.2015.2477400.Suche in Google Scholar
2. Al-Habash, A, Andrews, LC, Philips, RL. Mathematical model for the irradiance PDF of a laser beam propagating through turbulent media. Opt Eng J 2001;40:1554–62.10.1117/1.1386641Suche in Google Scholar
3. Khalighi, MA, Uysal, M. Survey on free space optical communication: a communication theory perspective. IEEE Commun Surv Tutor 2014;16:2231–58. https://doi.org/10.1109/comst.2014.2329501.Suche in Google Scholar
4. Aggarwal, M, Garg, P, Puri, P. Analysis of subcarrier intensity modulation-based optical wireless DF relaying over turbulence channels with path loss and pointing error impairments. IET Commun 2014;8:3170–8. https://doi.org/10.1049/iet-com.2014.0292.Suche in Google Scholar
5. Vats, A, Aggarwal, M, Ahuja, S. End-to-end performance analysis of hybrid VLC-RF system using decode and forward relay in E-health medical applications. Opt Int J Electron Opt 2019:297–310. https://doi.org/10.1016/j.ijleo.2019.03.045.Suche in Google Scholar
6. Aggarwal, M, Garg, P, Puri, P. Exact MGF-based performance analysis of dual-hop AF-relayed optical wireless communication systems. J Lightwave Technol 2015;33:1913–19. https://doi.org/10.1109/jlt.2015.2395425.Suche in Google Scholar
7. Puri, P, Garg, P, Aggarwal, M, Sharma, PK. Multiple user pair scheduling in bi-directional single relay assisted FSO systems. In: 2014 IEEE international conference on communications (ICC). Sydney, Australia; 2014:3401–5 pp.10.1109/ICC.2014.6883847Suche in Google Scholar
8. Bag, B, Das, A, Ansari, IS, Prokes, A, Bose, C, Chandra, A. Performance analysis of hybrid FSO systems using FSO/RF-FSO link adaptation. IEEE Photon J 2018;10:1–17. https://doi.org/10.1109/jphot.2018.2837356.Suche in Google Scholar
9. Khanna, H, Aggarwal, M, Ahuja, S. Further results on the performance improvement in mixed RF-FSO systems using hybrid DF/AF (HDAF) relaying. Trans Emerg Telecommun Technol 2018;29:e3284. https://doi.org/10.1002/ett.3284.Suche in Google Scholar
10. Lee, E, Park, J, Han, D, Yoon, G. Performance analysis of the asymmetric dual-hop relay transmission with mixed RF/FSO links. IEEE Photon Technol Lett 2011;23:1642–4. https://doi.org/10.1109/lpt.2011.2166063.Suche in Google Scholar
11. Shukla, NK, Mayet, AM, Vats, A, Aggarwal, M, Raja, RK, Verma, R, et al.. High speed integrated RF–VLC data communication system: performance constraints and capacity considerations. Phys Commun 2022;50:1–14. https://doi.org/10.1016/j.phycom.2021.101492.Suche in Google Scholar
12. Zedini, E, Ansari, I, Alouini, M-S. Performance analysis of mixed Nakagami-m and gamma–gamma dual-hop FSO transmission systems. IEEE Photon J 2015;7:1–20. https://doi.org/10.1109/jphot.2014.2381657.Suche in Google Scholar
13. Anees, S, Bhatnagar, MR. Performance of an amplify-and-forward dual-hop asymmetric RF–FSO communication system. J Opt Commun Netw 2015;7:124–35. https://doi.org/10.1364/jocn.7.000124.Suche in Google Scholar
14. Ansari, IS, Yilmaz, F, Alouini, M. Impact of pointing errors on the performance of mixed RF/FSO dual-hop transmission systems. IEEE Wirel Commun Lett 2013;2:351–4. https://doi.org/10.1109/wcl.2013.042313.130138.Suche in Google Scholar
15. Zedini, E, Ansari, IS, Alouini, M. Unified performance analysis of mixed line of sight RF-FSO fixed gain dual-hop transmission systems. In: proceedings of IEEE wireless communications and networking conference (WCNC). New Orleans, LA, USA; 2015:46–51 pp.10.1109/WCNC.2015.7127443Suche in Google Scholar
16. Miridakis, NI, Matthaiou, M, Karagiannidis, GK. Multiuser relaying over mixed RF/FSO links. IEEE Trans Commun 2014;62:1634–45. https://doi.org/10.1109/tcomm.2014.022314.130762.Suche in Google Scholar
17. Anees, S, Bhatnagar, MR. Performance evaluation of decode-and-forward dual-hop asymmetric radio frequency free space optical communication system. IET Optoelectron 2015;9:232–40. https://doi.org/10.1049/iet-opt.2014.0118.Suche in Google Scholar
18. Miridakis, NI, Matthaiou, M, Karagiannidis, GK. Multiuser dual-hop relaying over mixed RF/FSO links. In: Proceedings of IEEE international conference on communications (ICC). Sydney, NSW, Australia; 2014:3389–94 pp.10.1109/ICC.2014.6883845Suche in Google Scholar
19. Yang, L, Yuan, J, Liu, X, Hasna, MO. On the performance of LAP-based multiple-hop RF/FSO systems. IEEE Trans Aero Electron Syst 2019;55:499–505. https://doi.org/10.1109/taes.2018.2852399.Suche in Google Scholar
20. Tatar Mamaghani, M, Hong, Y. On the performance of low-altitude UAV-enabled secure AF relaying with cooperative jamming and SWIPT. IEEE Access 2019;7:153060–73. https://doi.org/10.1109/access.2019.2948384.Suche in Google Scholar
21. Hanson, F, Radic, S. High bandwidth underwater optical communication. Appl Opt 2008;47:277–83. https://doi.org/10.1364/ao.47.000277.Suche in Google Scholar PubMed
22. Li, S, Yang, L, Costa, D. Performance analysis of UAV-based mixed RF/UWOC transmission systems. ArXiv, abs/2011.09062 2020.Suche in Google Scholar
23. Anees, S, Deka, R. On the performance of DF based dual-hop mixed RF/UWOC system. In: Proceedings of IEEE 89th vehicular technology conference (VTC2019-spring). Malaysia: Kuala Lumpur; 2019:1–5 pp.10.1109/VTCSpring.2019.8746368Suche in Google Scholar
24. Yadav, S, Vats, A, Aggarwal, M, Ahuja, S. Performance analysis and altitude optimization of UAV-enabled dual-hop mixed RF-UWOC system. IEEE Trans Veh Technol 2021;70:12651–61. https://doi.org/10.1109/tvt.2021.3118569.Suche in Google Scholar
25. Anees, S, Bhatnagar, MR. Performance of an amplify-and-forward dual-hop asymmetric RF-FSO communication system. IEEE/OSA J Opt Commun Netw 2015;7:124–35. https://doi.org/10.1364/jocn.7.000124.Suche in Google Scholar
26. Lei, H, Zhang, Y, Park, K, Ansari, IS, Pan, G, Alouini, M. On the performance of dual-hop RF-UWOC system. In: Proceedings of IEEE international conference on communications workshops (ICC workshops). Dublin, Ireland; 2020:1–6 pp.10.1109/ICCWorkshops49005.2020.9145142Suche in Google Scholar
27. Illi, E, Bouanani, FE, da Costa, DB, Sofotasios, PC, Ayoub, F, Mezher, K, et al.. Physical layer security of a dual-hop regenerative mixed RF/UOW system. IEEE Trans Sustain Comput 2021;6:90–104. https://doi.org/10.1109/tsusc.2019.2906545.Suche in Google Scholar
28. Vaiopoulos, N, Vavoulas, A, Sandalidis, HG. An assessment of a unmanned aerial vehicle-based broadcast scenario assuming random terrestrial user locations. IET Optoelectron 2021;15:121–30. https://doi.org/10.1049/ote2.12009.Suche in Google Scholar
29. Safi, H, Dargahi, A, Cheng, J, Safari, M. Analytical channel model and link design optimization for ground-to-HAP free-space optical communications. J Lightwave Technol 2020;38:5036–47. https://doi.org/10.1109/jlt.2020.2997806.Suche in Google Scholar
30. Oleg Marichev and Michael, Trottd. The mathematical functions site. http://functions.wolfram.com [Accessed 5 Jun 2022].Suche in Google Scholar
31. Zedini, E, Oubei, HM, Kammoun, A, Hamdi, M, Ooi, BS, Alouini, M. Unified statistical channel model for turbulence-induced fading in underwater wireless optical communication systems. IEEE Trans Commun 2019;67:2893–907. https://doi.org/10.1109/tcomm.2019.2891542.Suche in Google Scholar
32. Laneman, JN, Tse, DNC, Wornell, GW. Cooperative diversity in wireless networks: efficient protocols and outage behavior. IEEE Trans Inf Theor 2004;50:3062–80. https://doi.org/10.1109/tit.2004.838089.Suche in Google Scholar
33. Ikki, SS, Aissa, S. A study of optimization problem for amplify-and-forward relaying over Weibull fading channels with multiple antennas. IEEE Commun Lett 2011;15:1148–51. https://doi.org/10.1109/lcomm.2011.092911.111685.Suche in Google Scholar
34. Vats, A, Aggarwal, M, Ahuja, S. Outage and error analysis of three hop hybrid VLC/FSO/VLC–based relayed optical wireless communication system. Trans Emerging Telecommun Technil 2019;30:e3544. https://doi.org/10.1002/ett.3544.Suche in Google Scholar
35. Dale, M. The algebra of random variables. New York: Wiley; 1979, vol 1.Suche in Google Scholar
36. Amer, M, Al-Eryani, Y. Underwater optical communication system relayed by α − μ fading channel: outage, capacity and asymptotic analysis. arXiv preprint arXiv:1911.04243 2019.Suche in Google Scholar
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