Skip to main content
Log in

Convex Localization Algorithm based on Time Difference of Arrival for WSN in Uranium Tailings Radioactive Contamination

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

In order to solve the problem of radionuclide pollution in uranium tailings reservoir, a new wireless sensor network technology is used to monitor uranium tailings reservoir on-line in real-time. Therefore, a convex positioning algorithm based on the time difference of arrival (TDOA) is proposed to meet the uranium tailings reservoir’s monitoring requirements. First of all, the distance between the unknown node and each anchor node in the communication range is obtained by using the TDOA ranging method. Through many comparisons and screening times, three anchor nodes that are relatively far away from the unknown node are selected. Then the convex location algorithm is used to reduce the region of the unknown nodes. Then the estimated coordinates of the unknown nodes are obtained. Compared with the original convex algorithm, the results show that the proposed algorithm’s positioning accuracy is 27% higher than that of the convex algorithm. The fluctuation range of positioning error is reduced by 26%, which can effectively meet the uranium tailings reservoir’s monitoring needs.

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

Similar content being viewed by others

References

  1. Zhang, L., & Zhirong, L. (2018). Pollution characteristics and risk assessment of uranium and heavy metals of agricultural soil around the uranium tailing reservoir in Southern China. Journal of Radioanalytical & Nuclear Chemistry, 318(2), 923–933.

    Article  Google Scholar 

  2. Ouyang, J., Liu, Z., Ye, T., et al. (2019). Uranium pollution status and speciation analysis in the farmland-rice system around a uranium tailing mine in southeastern China. Journal of Radioanalytical and Nuclear Chemistry, 322(2), 1011–1022.

    Article  Google Scholar 

  3. Nassour, M., Weiske, A., Schaller, J., et al. (2015). Distribution and relationship of uranium and radium along an allochthonously dominated wetland gradient. Archives of Environmental Contamination & Toxicology, 68(2), 317–322.

    Article  Google Scholar 

  4. Chopra, M., Rastogi, R., Kumar, A. V., et al. (2013). Response surface method coupled with first-order reliability method based methodology for groundwater flow and contaminant transport model for the uranium tailings pond site. Environmental modeling & assessment, 18(4), 439–450.

    Article  Google Scholar 

  5. Singh, K. L., Sudhakar, G., Swaminathan, S. K., et al. (2015). Identification of elite native plants species for phytoaccumulation and remediation of major contaminants in uranium tailing ponds and its affected area. Environment, Development and Sustainability, 17(1), 57–81.

    Article  Google Scholar 

  6. Kaushik, A., Indu, S., & Gupta, D. (2019). A grey wolf optimization approach for improving the performance of wireless sensor networks. Wireless Personal Communications, 106(3), 1429–1449.

    Article  Google Scholar 

  7. Li, T., Yan, W., Ping, L., et al. (2019). A WSN positioning algorithm based on 3D discrete chaotic mapping. EURASIP Journal on Wireless Communications and Networking, 2019(1), 1–13.

    Article  Google Scholar 

  8. Yu, X., Zhou, L., & Li, X. (2019). A novel hybrid localization scheme for deep mine based on wheel graph and chicken swarm optimization. Computer Networks, 154(8), 73–78.

    Article  Google Scholar 

  9. Zhang, D. G., Niu, H. L., Liu, S., et al. (2017). Novel positioning service computing method for WSN. Wireless personal communications, 92(4), 1747–1769.

    Article  Google Scholar 

  10. Pandey, O. J., & Hegde, R. M. (2017). Node localization over small world WSNs using constrained average path length reduction. Ad Hoc Networks, 67, 87–102.

    Article  Google Scholar 

  11. Luo, C., Yu, J., Li, D., et al. (2018). A novel distributed algorithm for constructing virtual backbones in wireless sensor networks. Computer Networks, 146(9), 104–114.

    Article  Google Scholar 

  12. Schlupkothen, S., Prasse, B., & Ascheid, G. (2018). Backtracking-based dynamic programming for resolving transmit ambiguities in WSN localization. EURASIP Journal on Advances in Signal Processing, 2018(1), 1–26.

    Article  Google Scholar 

  13. Ding, X., & Dong, S. (2020). Improving positioning algorithm based on RSSI. Wireless Personal Communications, 110(4), 1947–1961.

    Article  Google Scholar 

  14. Liu, J., Wang, Z., Yao, M., et al. (2016). VN-APIT: virtual nodes-based range-free APIT localization scheme for WSN. Wireless Networks, 22(3), 867–878.

    Article  Google Scholar 

  15. Wang, Q., Li, B., & Rizos, C. (2019). Dilution of precision in three-dimensional angle-of-arrival positioning systems. Journal of Electrical Engineering and Technology, 14(6), 2583–2593.

    Article  Google Scholar 

  16. Li, H., Trocan, M., & Galayko, D. (2019). Virtual fingerprint and two-way ranging-based Bluetooth 3D indoor positioning with RSSI difference and distance ratio. Journal of Electromagnetic Waves and Applications, 33(16), 1–20.

    Article  Google Scholar 

  17. Halima, N. B., & Boujema, H. (2019). 3D WLS hybrid and non-hybrid localization using TOA, TDOA, azimuth and elevation. Telecommunication Systems, 70(1), 97–104.

    Article  Google Scholar 

  18. Yan, X., Sun, L., Sun, Z., et al. (2019). Improved hop-based localization algorithm for irregular networks. IET Communications, 13(5), 520–527.

    Article  Google Scholar 

  19. Dong, S., Zhang, X. G., & Zhou, W. G. (2020). A security localization algorithm based on DV-Hop against sybil attack in wireless sensor networks. Journal of Electrical Engineering and Technology, 15(3), 919–926.

    Article  Google Scholar 

  20. Chao, C., Meng, L. I., Jiuhe, W., et al. (2018). A localization algorithm based on convex optimization for WSN obstacle environment. Journal of Jilin University (Science Edition), 56(06), 1488–1494.

    Google Scholar 

  21. Darakeh, F., Mohammad-Khani, G. R., & Azmi, P. (2018). CRWSNP: cooperative range-free wireless sensor network positioning algorithm. Wireless Networks, 24(8), 2881–2897.

    Article  Google Scholar 

  22. Zhu, M., Yao, H., Wu, X., et al. (2018). Gaussian filter for TDOA based sound source localization in multimedia surveillance. Multimedia Tools and Applications, 77(3), 3369–3385.

    Article  Google Scholar 

  23. Li, W., Tang, Q., Huang, C., et al. (2017). A new close form location algorithm with AOA and TDOA for mobile user. Wireless Personal Communications, 97(2), 3061–3080.

    Article  Google Scholar 

  24. Kumarasiri, R., Alshamaileh, K., Tran, N. H., et al. (2016). An improved hybrid RSS/TDOA wireless sensors localization technique utilizing Wi-Fi networks. Mobile Networks and Applications, 21(2), 286–295.

    Article  Google Scholar 

  25. Qu, X., & Xie, L. (2016). An efficient convex constrained weighted least squares source localization algorithm based on TDOA measurements. Signal Processing, 119, 142–152.

    Article  Google Scholar 

  26. Linh, N. K., & Muu, L. D. (2015). A convex Hull algorithm for solving a location problem. RAIRO - Operations Research, 49(3), 589–600.

    Article  MathSciNet  Google Scholar 

  27. Kuecuekdeniz, T., Baray, A., Ecerkale, K., et al. (2012). Integrated use of fuzzy c-means and convex programming for capacitated multi-facility location problem. Expert Systems with Application, 39(4), 4306–4314.

    Article  Google Scholar 

  28. Ye, J., Chen, Y. Y., Wang, M., et al. (2019). Optimized convex localization algorithm using multiple communication radius and angle correction. Computer Science, 46(S1), 317–320.

    Google Scholar 

  29. Fujiwara, R., Mizugaki, K., Nakagawa, T., et al. (2011). TOA/TDOA hybrid relative positioning system based on UWB-IR technology. IEICE Transactions on Communications, 94(4), 1016–1024.

    Article  Google Scholar 

  30. Wang, W., Huang, J., Cai, S., et al. (2019). Design and implementation of synchronization-free TDOA localization system based on UWB. Radioengineering, 27(1), 320–330.

    Article  Google Scholar 

  31. Li, Z. D., Chen, X. J., Li, X. L., et al. (2020). Design of ultra-wideband localization system based on optimized time difference of arrival algorithm. IEEJ Transactions on Electrical and Electronic Engineering, 15(8), 1176–1182.

    Article  Google Scholar 

  32. Wang, Z. F., Zhang, H., Lu, T. T., et al. (2020). TDOA and RSSD based hybrid passive source localization with unknown transmit power. IETE Journal of Research, 66(4), 533–545.

    Article  Google Scholar 

  33. Su, Y. Q., Fu, X. N., & Zhang, N. (2020). TDOA Localization Algorithm Based on Lagrange Constraint Factor to Modify the Initial Value of Iteration. Advances in Applied Mathematics, 09(3), 372–381.

    Article  Google Scholar 

Download references

Acknowledgements

This work was in part supported by the National Natural Science Foundation of China (No.11875164); Key Research and Development Projects of Hunan Province (2018SK2055).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lu-ping HUANG.

Additional information

Publisher’s note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

YU, Xw., HUANG, Lp., LIU, Y. et al. Convex Localization Algorithm based on Time Difference of Arrival for WSN in Uranium Tailings Radioactive Contamination. Wireless Pers Commun 118, 999–1015 (2021). https://doi.org/10.1007/s11277-020-08055-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-020-08055-x

Keywords

Navigation