Skip to main content

Robust Distributed Estimators for Wireless Sensor Networks with One-Bit Quantized Data

  • Conference paper
Book cover Wireless Algorithms, Systems, and Applications (WASA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7405))

Abstract

In this letter, the problem of distributed estimation in a wireless sensor network with uncertain observation noise distributions is considered, where each sensor only sends one-bit quantized data to a fusion center. Two robust estimators called quantized mean estimator and trimmed mean estimator are proposed. The asymptotic relative efficiency and influence function of the proposed estimators are derived. Numerical results illustrate the performance advantages of the proposed estimators over the maximum likelihood estimator.

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

Access this chapter

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ribeiro, A., Giannakis, G.B.: Bandwidth-constrained distributed estimation for wireless sensor networks—Part I: Gaussian case. IEEE Trans. Signal Process 54(3), 1131–1143 (2006)

    Article  Google Scholar 

  2. Ribeiro, A., Giannakis, G.B.: Bandwidth-constrained distributed estimation for wireless sensor networks—Part II: Unknown probability density function. IEEE Trans. Signal Process 54(7), 2784–2798 (2006)

    Article  Google Scholar 

  3. Xiao, J., Luo, Z., Giannakis, G.B.: Performance bounds for the rate-constrained universal decentralized estimators. IEEE Signal Process. Lett. 14(1), 47–50 (2007)

    Article  Google Scholar 

  4. Aysal, T.C., Barner, K.E.: Constrained decentralized estimation over noisy channels for sensor networks. IEEE Trans. Signal Process. 56(4), 1398–1410 (2008)

    Article  MathSciNet  Google Scholar 

  5. Xiao, J., Luo, Z.: Decentralized estimation in an inhomogeneous sensing environment. IEEE Trans. Inf. Theory 51(10), 3564–3575 (2005)

    Article  MathSciNet  Google Scholar 

  6. Wu, T., Cheng, Q.: Distributed estimation over fading channels using one-bit quantization. IEEE Trans. Wireless Commun. 8(12), 5779–5784 (2009)

    Article  Google Scholar 

  7. Fang, J., Li, H.: Adaptive distributed estimation of signal power from one-bit quantized data. IEEE Trans. Aero. Electron. Syst. 46(4), 1893–1905 (2010)

    Article  MathSciNet  Google Scholar 

  8. Fang, J., Li, H.: Distributed estimation of Gaussian-Markov random fields with one-bit quantized data. IEEE Signal Process. Lett. 17(5), 449–452 (2010)

    Article  Google Scholar 

  9. Shen, X., Zhu, Y., You, Z.: An efficient sensor quantization algorithm for decentralized estimation fusion. Automatica 47(5), 1053–1059 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  10. Chen, H., Varshney, P.K.: Nonparametric one-bit quantizers for distributed estimation. IEEE Trans. Signal Process. 58(7), 3777–3787 (2010)

    Article  MathSciNet  Google Scholar 

  11. Zherlitsyn, G., Matveev, A.S.: Min-max optimal data encoding and fusion in sensor networks. Automatica 46(9), 1546–1552 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  12. Liu, G., Xu, B., Chen, H.: Decentralized estimation over noisy channels in cluster-based wireless sensor networks. Int. J. Commun. Syst. (published online, 2012)

    Google Scholar 

  13. Liu, G., Xu, B., Zeng, M., Chen, H.: Distributed estimation over binary symmetric channels for wireless sensor networks. IET Wireless Sensor Syst. 1(2), 105–109 (2011)

    Article  Google Scholar 

  14. Huber, P.J.: Robust Statistics. Wiley, New York (1981)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Liu, G., Xu, B., Chen, H. (2012). Robust Distributed Estimators for Wireless Sensor Networks with One-Bit Quantized Data. In: Wang, X., Zheng, R., Jing, T., Xing, K. (eds) Wireless Algorithms, Systems, and Applications. WASA 2012. Lecture Notes in Computer Science, vol 7405. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31869-6_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31869-6_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31868-9

  • Online ISBN: 978-3-642-31869-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics