Skip to main content
Log in

Performance analysis of underwater vertical wireless optical communication system in the presence of weak turbulence, pointing errors and attenuation losses

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

In this paper, we have investigated the performance of underwater vertical wireless optical communication (UVWOC) link employing on–off key modulation in the presence of underwater turbulence, pointing errors and attenuation losses. The turbulence of the medium (assumed to be weak turbulence) has been modeled by employing the hyperbolic tangent log normal (HTLN) distribution. Temperature, pressure and salinity are parameters which can bring about variation of optical transmission characteristics with respect to depth of the ocean/sea. An in-depth study of optical transmission through vertical oceanic links requires the the underwater medium to be modeled as comprising of non-identical turbulent layers. Each of these independent and non-identical turbulence layers are modeled using the HTLN distribution function. The pointing error due to misalignment between source and detector is modeled using Rayleigh displacement pointing error. A novel closed-form expression to quantify the average bit error rate (BER) has been derived for single input single output (SISO) communication link. This expression has then been further generalized to make it applicable to the case of receive diversity schemes such as selection combining, majority logic combining and maximum ratio combining. The expression for the average BER associated with the UVWOC link for different pointing errors, different data rates and different types of ocean water has been determined. Novel closed-form expressions quantifying the outage probability and ergodic channel capacity have been derived for SISO and SC receive diversity schemes. The accuracy of all of the closed-form expressions derived in this paper have been validated using Monte-Carlo simulations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Availability of data and materials

Not applicable.

References

  • Adamchik, V.S., Marichev, O.I.: Proceedings of the International Symposium on Symbolic and Algebraic Computation (Association for Computing Machinery, New York, NY, USA, 1990), ISSAC ’90, pp. 212–224. https://doi.org/10.1145/96877.96930

  • Concus, P., Cassatt, D., Jaehnig, G., Melby, E.E.: Tables for the evaluation of \(\int _{0}^{\infty } x^\beta e^{-x} f(x) dx\) by Gauss–Laguerre quadrature. Math. Comput. 17, 245 (1963). https://doi.org/10.2307/2003842

    Article  MATH  Google Scholar 

  • Elamassie, M., Uysal, M.: 11th International Symposium on Communication Systems. Networks and Digital Signal Processing (CSNDSP), pp. 1–6 (2018). https://doi.org/10.1109/CSNDSP.2018.8471888

  • Elamassie, M., Uysal, M.: Vertical underwater visible light communication links: channel modeling and performance analysis. IEEE Trans. Wirel. Commun. 19(10), 6948–6959 (2020). https://doi.org/10.1109/TWC.2020.3007343

  • Elamassie, M., Miramirkhani, F., Uysal, M.: Performance characterization of underwater visible light communication. IEEE Trans. Commun. 67(1), 543–552 (2019). https://doi.org/10.1109/TCOMM.2018.2867498

  • Farid, A.A., Hranilovic, S.: Outage capacity optimization for free-space optical links with pointing errors. J. Lightwave Technol. 25(7), 1702–1710 (2007). https://doi.org/10.1109/JLT.2007.899174

  • Huang, A., Tao, L., Wang, C., Zhang, L.: Error performance of underwater wireless optical communications with spatial diversity under turbulence channels. Appl. Opt. 57(26), 7600–7608 (2018)

  • Jamali, M.V., Mirani, A., Parsay, A., Abolhassani, B., Nabavi, P., Chizari, A., Khorramshahi, P., Abdollahramezani, S., Salehi, J.A.: Statistical studies of fading in underwater wireless optical channels in the presence of air bubble, temperature, and salinity random variations. IEEE Trans. Commun. 66(10), 4706-4723 (2018). https://doi.org/10.1109/TCOMM.2018.2842212

    Article  Google Scholar 

  • Jiang, H., Qiu, H., He, N., Popoola, W., Ahmad, Z., Rajbhandari, S.: Performance of spatial diversity DCO-OFDM in a weak turbulence underwater visible light communication channel. J. Lightwave Technol. 38(8), 2271-2277 (2020). https://doi.org/10.1109/JLT.2019.2963752

    Article  ADS  Google Scholar 

  • Kaushal, H., Kaddoum, G.: Underwater optical wireless communication. IEEE Access 4, 1518-1547 (2016). https://doi.org/10.1109/ACCESS.2016.2552538

    Article  Google Scholar 

  • Kumar, L.B., Ramavath, P.N., Krishnan, P.: Performance analysis of multi-hop FSO convergent with UWOC system for security and tracking in navy applications. Opt. Quant. Electron. 54(6), 1-26 (2022)

    Article  Google Scholar 

  • Levidala, B.K., Ramavath, P.N., Krishnan, P.: Performance enhancement using multiple input multiple output in dual-hop convergent underwater wireless optical communication-free-space optical communication system under strong turbulence with pointing errors. Opt. Eng. 60(10), 106106 (2021)

    Article  ADS  Google Scholar 

  • Liu, W., Xu, Z., Yang, L.: SIMO detection schemes for underwater optical wireless communication under turbulence. Photonics Res. 3(3), 48–53 (2015)

  • Malathy, S., Singh, M., Malhotra, J., Vasudevan, B., Dhasarathan, V.: Modeling and performance investigation of 4 \(\times\) 20 \(\rm Gbps\) underwater optical wireless communication link incorporating space division multiplexing of hermite gaussian modes. Opt. Quant. Electron. 52(5), 1–18 (2020)

  • Mobley, C.D., Gentili, B., Gordon, H.R., Jin, Z., Kattawar, G.W., Morel, A., Reinersman, P., Stamnes, K., Stavn, R.H.: Comparison of numerical models for computing underwater light fields. Appl. Opt. 32(36), 7484–7504 (1993)

  • Naik, R.P., Chung, W.Y.: Evaluation of reconfigurable intelligent surface-assisted underwater wireless optical communication system. J. Lightwave Technol. 40(13), 4257-4267 (2022)

    Article  ADS  Google Scholar 

  • Naik, R.P., Simha, G.G., Krishnan, P.: Wireless-optical-communication-based cooperative iot and iout system for ocean monitoring applications. Appl. Opt. 60(29), 9067–9073 (2021)

  • Naik, R.P., Acharya, U.S., Lal, S., Krishnan, P.: Performance investigation of underwater wireless optical system for image transmission through the oceanic turbulent optical medium. Opt. Quant. Electron. 54(4), 1–16 (2022)

  • Ramavath, P.N., Kumar, A., Godkhindi, S.S., Acharya, U.S.: Experimental studies on the performance of underwater optical communication link with channel coding and interleaving. CSI Trans. ICT 6(1), 65-70 (2018)

    Article  Google Scholar 

  • Ramavath, P.N., Udupi, S.A., Krishnan, P.: Experimental demonstration and analysis of underwater wireless optical communication link: design, BCH coded receiver diversity over the turbid and turbulent seawater channels. Microw. Opt. Technol. Lett. 62(6), 2207–2216 (2020)

  • Ramavath, P.N., Udupi, S.A., Krishnan, P.: Co-operative RF-UWOC link performance over hyperbolic tangent log-normal distribution channel with pointing errors. Opt. Commun. 469, 125774 (2020)

    Article  Google Scholar 

  • Ramavath, P.N., Udupi, S.A., Krishnan, P.: High-speed and reliable underwater wireless optical communication system using multiple-input multiple-output and channel coding techniques for iout applications. Opt. Commun. 461, 125229 (2020)

    Article  Google Scholar 

  • Sandalidis, H.G., Tsiftsis, T.A., Karagiannidis, G.K., Uysal, M.: BER performance of FSO links over strong atmospheric turbulence channels with pointing errors. IEEE Commun. Lett. 12(1), 44-46 (2008). https://doi.org/10.1109/LCOMM.2008.071408

    Article  Google Scholar 

  • Singh, M., Singh, M.L., Singh, R.: Performance enhancement of 112 Gbps UWOC link by mitigating the air bubbles induced turbulence with coherent detection MIMO DP-16QAM and advanced digital signal processing. Optik 259, 168986 (2022)

    Article  ADS  Google Scholar 

  • Singh, M., Singh, M.L., Kaur, H., Gill, H.S., Priyanka, P., Kaur, S., Singh, G.: Modeling of intensity fluctuations in the turbid underwater wireless optical communication links. Opt. Eng. 61(3), 036107 (2022)

  • Tsiftsis, T.A., Sandalidis, H.G., Karagiannidis, G.K., Uysal, M.: Optical wireless links with spatial diversity over strong atmospheric turbulence channels. IEEE Trans. Wirel. Commun. 8(2), 951–957 (2009). https://doi.org/10.1109/TWC.2009.071318

  • Uppalapati, A., Naik, R.P., Krishnan, P.: Analysis of M-QAM modulated underwater wireless optical communication system for reconfigurable UOWSNs employed in river meets ocean scenario. IEEE Trans. Veh. Technol. 69(12), 15244–15252 (2020)

  • Yu, S., Ding, J., Fu, Y., Ma, J., Tan, L., Wang, L.: Novel approximate and asymptotic expressions of the outage probability and BER in gamma-gamma fading FSO links with generalized pointing errors. Opt. Commun. 435, 289–296 (2019)

  • Zeng, Z., Fu, S., Zhang, H., Dong, Y., Cheng, J.: A survey of underwater optical wireless communications. IEEE Commun. Surv. Tutor. 19(1), 204–238 (2017). https://doi.org/10.1109/COMST.2016.2618841

Download references

Funding

(1) This research work is supported by the Ph.D. fellowship granted by the Ministry of Education, Government of India awarded to the first author. (2) This work is supported by a research grant funded by National Research Foundation (NRF) of Korea Grant (No. 2020R1A4A1019463).

Author information

Authors and Affiliations

Authors

Contributions

SS evaluated the system’s performance using Monte-Carlo and numerical simulations and wrote the manuscript. PNR validated the results and wrote the manuscript. SA and W-YC reviewed the manuscript.

Corresponding author

Correspondence to C. S. Savidhan Shetty.

Ethics declarations

Ethical approval

Not applicable.

Competing interests

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shetty, C.S.S., Naik, R.P., Acharya, U.S. et al. Performance analysis of underwater vertical wireless optical communication system in the presence of weak turbulence, pointing errors and attenuation losses. Opt Quant Electron 55, 1 (2023). https://doi.org/10.1007/s11082-022-04283-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-022-04283-6

Keywords

Navigation