Skip to main content
SpringerLink
Log in

Distributed Localization of Wireless Sensor Network Using Communication Wheel

  • Conference paper
  • First Online:
Algorithms for Sensor Systems (ALGOSENSORS 2020)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 12503))

Abstract

We study the network localization problem, i.e., the problem of determining node positions of a wireless sensor network modeled as a unit disk graph. In an arbitrarily deployed network, positions of all nodes of the network may not be uniquely determined. It is known that even if the network corresponds to a unique solution, no polynomial-time algorithm can solve this problem in the worst case, unless RP = NP. So we are interested in algorithms that efficiently localize the network partially. A widely used technique that can efficiently localize a uniquely localizable portion of the network is trilateration: starting from three anchors (nodes with known positions), nodes having at least three localized neighbors are sequentially localized. However, the performance of trilateration can substantially differ for different choices of the initial three anchors. In this paper, we propose a distributed localization scheme with a theoretical characterization of nodes that are guaranteed to be localized. In particular, our proposed distributed algorithm starts localization from a strongly interior node and provided that the subgraph induced by the strongly interior nodes is connected, it localizes all nodes of the network except some boundary nodes and isolated weakly interior nodes.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Albowicz, J., Chen, A., Zhang, L.: Recursive position estimation in sensor networks. In: 9th International Conference on Network Protocols (ICNP 2001), Riverside, CA, USA, 11–14 November 2001, pp. 35–43. IEEE Computer Society (2001). https://doi.org/10.1109/ICNP.2001.992758

  2. Aspnes, J., Goldenberg, D., Yang, Y.R.: On the computational complexity of sensor network localization. In: Nikoletseas, S.E., Rolim, J.D.P. (eds.) ALGOSENSORS 2004. LNCS, vol. 3121, pp. 32–44. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-27820-7_5

    Chapter  MATH  Google Scholar 

  3. Baggio, A., Langendoen, K.: Monte Carlo localization for mobile wireless sensor networks. Ad Hoc Netw. 6(5), 718–733 (2008). https://doi.org/10.1016/j.adhoc.2007.06.004

    Article  Google Scholar 

  4. Biswas, P., Liang, T.-C., Wang, T.-C., Ye, Y.: Semidefinite programming based algorithms for sensor network localization. ACM Trans. Sens. Netw. 2(2), 188–220 (2006). https://doi.org/10.1145/1149283.1149286

    Article  Google Scholar 

  5. Biswas, P., Toh, K.-C., Ye, Y.: A distributed SDP approach for large-scale noisy anchor-free graph realization with applications to molecular conformation. SIAM J. Sci. Comput. 30(3), 1251–1277 (2008). https://doi.org/10.1137/05062754X

    Article  MathSciNet  MATH  Google Scholar 

  6. Bose, K., Kundu, M.K., Adhikary, R., Sau, B.: Distributed localization of wireless sensor network using communication wheel. CoRR, abs/2008.00739 (2020). https://arxiv.org/abs/2008.00739

  7. Bulusu, N., Heidemann, J.S., Estrin, D.: GPS-less low-cost outdoor localization for very small devices. IEEE Wirel. Commun. 7(5), 28–34 (2000). https://doi.org/10.1109/98.878533

    Article  Google Scholar 

  8. Chowdhury, T.J.S., Elkin, C., Devabhaktuni, V., Rawat, D.B., Oluoch, J.: Advances on localization techniques for wireless sensor networks: a survey. Comput. Netw. 110, 284–305 (2016). https://doi.org/10.1016/j.comnet.2016.10.006

    Article  Google Scholar 

  9. Eren, T., et al.: Rigidity, computation, and randomization in network localization. In: Proceedings IEEE INFOCOM 2004, the 23rd Annual Joint Conference of the IEEE Computer and Communications Societies, Hong Kong, China, 7–11 March 2004, pp. 2673–2684. IEEE (2004). https://doi.org/10.1109/INFCOM.2004.1354686

  10. Fang, J., Cao, M., Morse, A.S., Anderson, B.D.O.: Sequential localization of sensor networks. SIAM J. Control. Optim. 48(1), 321–350 (2009). https://doi.org/10.1137/070679144

    Article  MathSciNet  MATH  Google Scholar 

  11. Goldenberg, D.K., et al.: Localization in sparse networks using sweeps. In: Gerla, M., Petrioli, C., Ramjee, R. (eds.) Proceedings of the 12th Annual International Conference on Mobile Computing and Networking, MOBICOM 2006, Los Angeles, CA, USA, 23–29 September 2006, pp. 110–121. ACM (2006). https://doi.org/10.1145/1161089.1161103

  12. Goldenberg, D.K., et al.: Network localization in partially localizable networks. In: INFOCOM 2005. 24th Annual Joint Conference of the IEEE Computer and Communications Societies, Miami, FL, USA, 13–17 March 2005, pp. 313–326. IEEE (2005). https://doi.org/10.1109/INFCOM.2005.1497902

  13. He, T., Huang, C., Blum, B.M., Stankovic, J.A., Abdelzaher, T.: Range-free localization schemes for large scale sensor networks. In: Johnson, D.B., Joseph, A.D., Vaidya, N.H. (eds.) Proceedings of the Ninth Annual International Conference on Mobile Computing and Networking, MOBICOM 2003, San Diego, CA, USA, 14–19 September 2003, pp. 81–95. ACM (2003). https://doi.org/10.1145/938985.938995

  14. Hendrickson, B.: Conditions for unique graph realizations. SIAM J. Comput. 21(1), 65–84 (1992). https://doi.org/10.1137/0221008

    Article  MathSciNet  MATH  Google Scholar 

  15. Jackson, B., Jordán, T.: Connected rigidity matroids and unique realizations of graphs. J. Comb. Theory Ser. B 94(1), 1–29 (2005). https://doi.org/10.1016/j.jctb.2004.11.002

    Article  MathSciNet  MATH  Google Scholar 

  16. Ji, X.: Sensor positioning in wireless ad-hoc sensor networks with multidimensional scaling. In: Proceedings IEEE INFOCOM 2004, the 23rd Annual Joint Conference of the IEEE Computer and Communications Societies, Hong Kong, China, 7–11 March 2004, pp. 2652–2661. IEEE (2004). https://doi.org/10.1109/INFCOM.2004.1354684

  17. Kuhn, F., Wattenhofer, R., Zollinger, A.: Ad hoc networks beyond unit disk graphs. Wirel. Netw. 14(5), 715–729 (2008). https://doi.org/10.1007/s11276-007-0045-6

    Article  Google Scholar 

  18. Lederer, S., Wang, Y., Gao, J.: Connectivity-based localization of large-scale sensor networks with complex shape. ACM Trans. Sens. Netw. 5(4), 31:1–31:32 (2009). https://doi.org/10.1145/1614379.1614383

    Article  Google Scholar 

  19. Liu, Y., Yang, Z., Wang, X., Jian, L.: Location, localization, and localizability. J. Comput. Sci. Technol. 25(2), 274–297 (2010). https://doi.org/10.1007/s11390-010-9324-2

    Article  Google Scholar 

  20. Lynch, N.A.: Distributed Algorithms. Elsevier, Amsterdam (1996)

    MATH  Google Scholar 

  21. Mao, G., Fidan, B., Anderson, B.D.O.: Wireless sensor network localization techniques. Comput. Netw. 51(10), 2529–2553 (2007). https://doi.org/10.1016/j.comnet.2006.11.018

    Article  MATH  Google Scholar 

  22. Moore, D.C., Leonard, J.J., Rus, D., Teller, S.J.: Robust distributed network localization with noisy range measurements. In: Stankovic, J.A., Arora, A., Govindan, R (eds.) Proceedings of the 2nd International Conference on Embedded Networked Sensor Systems, SenSys 2004, Baltimore, MD, USA, 3–5 November 2004, pp. 50–61. ACM (2004). https://doi.org/10.1145/1031495.1031502

  23. Peng, R., Sichitiu, M.L.: Angle of arrival localization for wireless sensor networks. In: Proceedings of the Third Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks, SECON 2006, Reston, VA, USA, 25–28 September 2006, pp. 374–382. IEEE (2006). https://doi.org/10.1109/SAHCN.2006.288442

  24. Sau, B., Mukhopadhyaya, K.: Length-based anchor-free localization in a fully covered sensor network. In: 2009 First International Communication Systems and Networks and Workshops, pp. 1–10, January 2009. https://doi.org/10.1109/COMSNETS.2009.4808851

  25. Savvides, A., Han, C.C., Strivastava, M.B.: Dynamic fine-grained localization in ad-hoc networks of sensors. In: Rose, C. (ed.) MOBICOM 2001, Proceedings of the Seventh Annual International Conference on Mobile Computing and Networking, Rome, Italy, 16–21 July 2001, pp. 166–179. ACM (2001). https://doi.org/10.1145/381677.381693

  26. Saxe, J.B.: Embeddability of weighted graphs in k-space is strongly NP-hard. In: Proceedings of 17th Allerton Conference in Communications, Control and Computing, Monticello, IL, pp. 480–489 (1979)

    Google Scholar 

  27. Shang, Y., Ruml, W.: Improved MDS-based localization. In: Proceedings IEEE INFOCOM 2004, The 23rd Annual Joint Conference of the IEEE Computer and Communications Societies, Hong Kong, China, 7–11 March 2004, pp. 2640–2651. IEEE (2004). https://doi.org/10.1109/INFCOM.2004.1354683

  28. Shang, Y., Ruml, W., Zhang, Y., Fromherz, M.P.: Localization from mere connectivity. In: Proceedings of the 4th ACM International Symposium on Mobile Ad Hoc Networking and Computing, MobiHoc 2003, Annapolis, Maryland, USA, 1–3 June 2003, pp. 201–212. ACM (2003). https://doi.org/10.1145/778415.778439

  29. Sorbelli, F.B., Das, S.K., Pinotti, C.M., Silvestri, S.: Range based algorithms for precise localization of terrestrial objects using a drone. Pervasive Mob. Comput. 48, 20–42 (2018). https://doi.org/10.1016/j.pmcj.2018.05.007

    Article  Google Scholar 

  30. Tutte, W.T.: Graph Theory. Cambridge Mathematical Library. Cambridge University Press, Cambridge (2001)

    Google Scholar 

  31. Wang, J., Ghosh, R.K., Das, S.K.: A survey on sensor localization. J. Control Theory Appl. 8(1), 2–11 (2010). https://doi.org/10.1007/s11768-010-9187-7

    Article  MATH  Google Scholar 

  32. Whiteley, W.: Some matroids from discrete applied geometry. Contemp. Math. 197, 171–312 (1996)

    Article  MathSciNet  Google Scholar 

  33. Yang, Z., Liu, Y., Li, X.-Y.: Beyond trilateration: on the localizability of wireless ad hoc networks. IEEE/ACM Trans. Netw. 18(6), 1806–1814 (2010). https://doi.org/10.1109/TNET.2010.2049578

    Article  Google Scholar 

Download references

Acknowledgements

The first author is supported by NBHM, DAE, Govt. of India and the third author is supported by CSIR, Govt. of India. This work was done when the second author was at Jadavpur University, Kolkata, India, supported by UGC, Govt. of India. We would like to thank the anonymous reviewers for their valuable comments which helped us to improve the quality and presentation of the paper.

Author information

Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, India

    Kaustav Bose, Ranendu Adhikary & Buddhadeb Sau

  2. Gayeshpur Government Polytechnic, Kalyani, India

    Manash Kumar Kundu

Authors
  1. Kaustav Bose
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Manash Kumar Kundu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ranendu Adhikary
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Buddhadeb Sau
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Manash Kumar Kundu .

Editor information

Editors and Affiliations

  1. Mathematics and Computer Science, University of Perugia, Perugia, Italy

    Cristina M. Pinotti

  2. Mathematics and Computer Science, University of Perugia, Perugia, Italy

    Alfredo Navarra

  3. Computer Science and Engineering, Indian Institute of Technology Delhi, New Delhi, India

    Amitabha Bagchi

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bose, K., Kundu, M.K., Adhikary, R., Sau, B. (2020). Distributed Localization of Wireless Sensor Network Using Communication Wheel. In: Pinotti, C.M., Navarra, A., Bagchi, A. (eds) Algorithms for Sensor Systems. ALGOSENSORS 2020. Lecture Notes in Computer Science(), vol 12503. Springer, Cham. https://doi.org/10.1007/978-3-030-62401-9_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-62401-9_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-62400-2

  • Online ISBN: 978-3-030-62401-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation