Skip to main content
Log in

Analysis of 3D localization in underwater optical wireless networks with uncertain anchor positions

  • Research Paper
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

Abstract

Localization accuracy is of paramount importance for the proper operation of underwater optical wireless sensor networks (UOWSNs). However, underwater localization is prone to hostile environmental impediments such as drifts owing to the surface and deep currents. These cause uncertainty in the deployed anchor node positions and pose daunting challenges to achieve accurate location estimations. Therefore, this paper analyzes the performance of three-dimensional (3D) localization for UOWSNs and derives a closed-form expression for the Cramer Rao lower bound (CRLB) by using time of arrival (ToA) and angle of arrival (AoA) measurements under the presence of uncertainty in anchor node positions. Numerical results validate the analytical findings by comparing the localization accuracy in scenarios with and without anchor nodes position uncertainty. Results are also compared with the linear least square (LLS) method and weighted LLS (WLLS) method.

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.

Similar content being viewed by others

References

  1. Saeed N, Celik A, Al-Naffouri T Y, et al. Energy harvesting hybrid acoustic-optical underwater wireless sensor networks localization. Sensors, 2017, 18: E51

    Article  Google Scholar 

  2. Zeng Z, Fu S, Zhang H, et al. A survey of underwater optical wireless communications. IEEE Commun Surv Tut, 2017, 19: 204–238

    Article  Google Scholar 

  3. Saeed N, Celik A, Al-Naffouri T Y, et al. Underwater optical wireless communications, networking, and localization: a survey. Ad Hoc Netw, 2019, 94: 101935

    Article  Google Scholar 

  4. Saeed N, Celik A, Al-Naffouri T Y, et al. Underwater optical sensor networks localization with limited connectivity. In: Proceedings of 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Calgary, 2018

  5. Akhoundi F, Minoofar A, Salehi J A. Underwater positioning system based on cellular underwater wireless optical CDMA networks. In: Proceedings of 2017 26th Wireless and Optical Communication Conference (WOCC), Newark, 2017

  6. Saeed N, Celik A, Al-Naffouri T Y, et al. Localization of energy harvesting empowered underwater optical wireless sensor networks. IEEE Trans Wireless Commun, 2019, 18: 2652–2663

    Article  Google Scholar 

  7. Saeed N, Celik A, Alouini M, et al. Performance analysis of connectivity and localization in multi-hop underwater optical wireless sensor networks. IEEE Trans Mobile Comput, 2019, 18: 2604–2615

    Article  Google Scholar 

  8. Saeed N, Celik A, Al-Naffouri T Y, et al. Robust 3D localization of underwater optical wireless sensor networks via low rank matrix completion. In: Proceedings of 2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), Kalamata, 2018

  9. Mekonnen Z W, Wittneben A. Robust TOA based localization for wireless sensor networks with anchor position uncertainties. In: Proceedings of 2014 IEEE 25th Annual International Symposium on Personal, Indoor, and Mobile Radio Communication (PIMRC), Washington, 2014

  10. Kumar V, Arablouei R, Kusy B, et al. WLS-based self-localization using perturbed anchor positions and RSSI measurements. 2017. ArXiv:1706.04347

  11. Lui K W K, Ma W K, So H C, et al. Semi-definite programming algorithms for sensor network node localization with uncertainties in anchor positions and/or propagation speed. IEEE Trans Signal Process, 2009, 57: 752–763

    Article  MathSciNet  Google Scholar 

  12. Suliman M A, Ballal T, AlSharif M H, et al. Robust 3-D location estimation in the presence of anchor placement and range errors. In: Proceedings of the 15th Workshop on Positioning, Navigation and Commun (WPNC), Bremen, 2018

  13. Jia T, Buehrer R M. A new Cramer-Rao lower bound for TOA-based localization. In: Proceedings of IEEE Military Communications Conference, San Diego, 2008

  14. Cheung K W, So H C, Ma W K, et al. Least squares algorithms for time-of-arrival-based mobile location. IEEE Trans Signal Process, 2004, 52: 1121–1128

    Article  MathSciNet  Google Scholar 

  15. Tarrio P, Bernardos A M, Besada J A, et al. A new positioning technique for RSS-based localization based on a weighted least squares estimator. In: Proceedings of 2008 IEEE International Symposium on Wireless Communication Systems, Reykjavik, 2008

  16. van Kleunen W A P, Blom K C H, Meratnia N, et al. Underwater localization by combining time-of-flight and direction-of-arrival. In: Proceedings of IEEE Oceans, Taipei, 2014

  17. Ullah I, Liu Y, Su X, et al. Efficient and accurate target localization in underwater environment. IEEE Access, 2019, 7: 101415–101426

    Article  Google Scholar 

  18. Patwari N, Ash J N, Kyperountas S, et al. Locating the nodes: cooperative localization in wireless sensor networks. IEEE Signal Process Mag, 2005, 22: 54–69

    Article  Google Scholar 

  19. Angjelichinoski M, Denkovski D, Atanasovski V, et al. Cramer-Rao lower bounds of RSS-based localization with anchor position uncertainty. IEEE Trans Inform Theor, 2015, 61: 2807–2834

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Nasir Saeed or Abdulkadir Celik.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Saeed, N., Celik, A., Alouini, MS. et al. Analysis of 3D localization in underwater optical wireless networks with uncertain anchor positions. Sci. China Inf. Sci. 63, 202305 (2020). https://doi.org/10.1007/s11432-019-2758-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-019-2758-2

Keywords

Navigation