Skip to main content

A Robust Adaptive Beamforming Algorithm Based on SVD

  • Conference paper
  • First Online:
Advances in Electrical Engineering and Electrical Machines

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 134))

  • 3516 Accesses

Abstract

To solve the deviation problem of mainlobe and high sidelobe in the adaptive beamformer with finite snapshots, a robust adaptive beamforming algorithm based on SVD (SVD-RAB) is proposed in this paper. The interference subspace and its orthogonal subspace are acquired by performing SVD on the receiving data matrix. The interference is suppressed utilizing the orthogonality of the subspace. The beam is formed using the transformation matrix according to the maximum signal to noise ratio (SNR) criterion. The presented algorithm can diminish the deviation of mainlobe and restrain the high sidelobe with finite snapshots. Through the analysis of the ability to suppress interference with finite snapshots, the exact number of snapshots for interference suppression is obtained. Intensive evaluation and direct comparisons with existing beamformers are conducted, showing the validity and superiority of the proposed algorithm.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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. Carlson, B.D.: Covariance matrix estimation errors and diagonal loading in adaptive arrays. IEEE Transactions on Aerospace and Electronic systems 24(4), 397–401 (1988)

    Article  Google Scholar 

  2. Goldstein, J.S., Reed, I.S., Scharf, L.L.: A multistage representation of the Wiener filter based on orthogonal projections. IEEE Transactions on Information Theory 44(7), 2943–2959 (1988)

    Article  MathSciNet  Google Scholar 

  3. Li, J., Stotica, P., Wang, Z.: On Robust Capon Beamformer and Diagonal Loading. IEEE Transactions on Signal Processing 51(7), 1702–1715 (2003)

    Article  Google Scholar 

  4. Li, J., Stotica, P., Wang, Z.: Doubly Constrained Robust Capon Beamformer. IEEE Transactions on Signal Processing 52(9), 2407–2423 (2004)

    Article  Google Scholar 

  5. Elnashar, A., Elnoubi, S.M., El-Mikati, H.A.: Further Study on Robust Adaptive Beamforming with Optimum Diagonal Loading. IEEE Transactions on Signal Processing 54(12), 3647–3658 (2006)

    Google Scholar 

  6. Vorobyov, S.A., Gershman, A.B., Luo, Z.: Robust Adaptive Beamforming Using Worst-case Performance Optimization: a solution to the Signal Mismatch Problem. IEEE Transactions on Signal Processing 51(2), 313–324 (2006)

    Article  Google Scholar 

  7. Alex, B.G., Nicholas, D.S., Shahram, S., Mats, B., Bjorn, O.: Convex Optimization-Based Beamforming: From receive to transmit and network designs. IEEE Signal Processing Magazine 27(3), 62–75 (2010)

    Article  Google Scholar 

  8. Lei, L., Joni, P.L., Alex, B.G., Chong, M.S.E.: Robust Adaptive Beamforming in Partly Calibrated Sparse Sensor Arrays. IEEE Transactions on Signal Processing 58(3), 1661–1667 (2010)

    Article  MathSciNet  Google Scholar 

  9. Zhu, L.Y., Ser, W., Er, M.H., Gu, Z., Li, Y.: Robust Adaptive Beamformers Based on Worst-Case Optimization and Constraints on Magnitude Response. IEEE Transactions on Signal Processing 57(7), 2615–2628 (2009)

    Article  MathSciNet  Google Scholar 

  10. Yan, S.F., Ma, Y.L., Sun, C.: Optimal beamforming for arbitrary arrays using second-order cone programming. Chinese Journal of Acoustics 24(1), 1–9 (2005)

    Google Scholar 

  11. Veen, B.D.V., Bucklev, K.M.: Beamforming: A versatile approach to spatial filtering. IEEE ASSP Magazine 5(2), 4–24 (1988)

    Article  Google Scholar 

  12. Van Trees, H.L.: Optimum array processing. John Wiley, New York (2002)

    Book  Google Scholar 

  13. Li, H., He, Y., Zhu, X., Hu, W.: An Adaptive Pattern Control Algorithm Based on Transformation Matrix. Science & Technology Review 29(5), 41–45 (2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hongtao Li .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, H., He, Y., Zhu, X. (2011). A Robust Adaptive Beamforming Algorithm Based on SVD. In: Zheng, D. (eds) Advances in Electrical Engineering and Electrical Machines. Lecture Notes in Electrical Engineering, vol 134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25905-0_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25905-0_2

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25904-3

  • Online ISBN: 978-3-642-25905-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics