Advertisement

Robust adaptive beamforming based on covariance matrix and new steering vector estimation

  • Saeed MohammadzadehEmail author
  • Osman Kukrer
Original Paper
  • 4 Downloads

Abstract

A new approach to the design of robust adaptive beamforming is introduced. In this approach, first the sample covariance matrix is replaced by the estimated interference-plus-noise covariance matrix which is constructed by exploiting the spatial spectrum distributions of a generalized Hermitian covariance matrix and the sample covariance matrix. Then, a new robust adaptive beamforming approach is developed based on finding a more accurate estimate of the actual steering vector than the available prior. The essence of finding such a steering vector estimate is the construction of the covariance matrix of the signal-of-interest based on the Capon spectrum estimator. The estimator is based on the integration over an angular region in which the desired signal direction is located. In the proposed method, the norm constraints are not required. Furthermore, it avoids solving quadratic convex optimization programs. The effectiveness of the proposed method is demonstrated by numerical results.

Keywords

Robust adaptive beamforming Signal covariance matrix Spatial power spectrum Steering vector estimation 

Notes

References

  1. 1.
    Trees, V., Harry, L.: Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory. Wiley, New York (2002)CrossRefGoogle Scholar
  2. 2.
    Capon, J.: High-resolution frequency-wavenumber spectrum analysis. Proc. IEEE 57(8), 1408–1418 (1969)CrossRefGoogle Scholar
  3. 3.
    Mu, P., Li, D., Yin, Q., Guo, W.: Robust MVDR beamforming based on covariance matrix reconstruction. Sci. China Inf. Sci. 56(4), 1–12 (2013)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Vorobyov, S.A., Gershman, A.B., Luo, Zh: Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem. IEEE Trans. Signal Process. 51(2), 313–324 (2003)CrossRefGoogle Scholar
  5. 5.
    Li, Y., Ma, H., Yu, D., Cheng, L.: Iterative robust Capon beamforming. Signal Process. 118, 211–220 (2016)CrossRefGoogle Scholar
  6. 6.
    Er, M.H., Ng, B.C.: A new approach to robust beamforming in the presence of steering vector errors. IEEE Trans. Signal Process. 42(7), 1826–1829 (1994)CrossRefGoogle Scholar
  7. 7.
    Mestre, X., Lagunas, M.A.: Finite sample size effect on minimum variance beamformers: optimum diagonal loading factor for large arrays. IEEE Trans. Signal Process. 54(1), 69–82 (2006)CrossRefzbMATHGoogle Scholar
  8. 8.
    Elnashar, A., Elnoubi, S.M., El-Mikati, H.A.: Further study on robust adaptive beamforming with optimum diagonal loading. IEEE Trans. 54(12), 3647–3658 (2006)CrossRefGoogle Scholar
  9. 9.
    Du, L., Li, J., Stoica, P.: Fully automatic computation of diagonal loading levels for robust adaptive beamforming. IEEE Trans. 46(1), 449–458 (2010)Google Scholar
  10. 10.
    Kukrer, O., Mohammadzadeh, S.: Generalised loading algorithm for adaptive beamforming in ULAs. IET Electron. Lett. 50(13), 910–912 (2014)CrossRefGoogle Scholar
  11. 11.
    Khabbazibasmenj, A., Vorobyov, S.A., Hassanien, A.: Robust adaptive beamforming based on steering vector estimation with as little as possible prior information. IEEE Trans. Signal Process. 60(6), 2974–2987 (2012)MathSciNetCrossRefzbMATHGoogle Scholar
  12. 12.
    Feldman, D.D., Griffiths, L.J.: A projection approach for robust adaptive beamforming. IEEE Trans. Signal Process. 42(4), 867–876 (1994)CrossRefGoogle Scholar
  13. 13.
    Hassanien, A., Vorobyov, S.A., Wong, K.M.: Robust adaptive beamforming using sequential quadratic programming: an iterative solution to the mismatch problem. IEEE Signal Process. Lett. 15, 733–736 (2008)CrossRefGoogle Scholar
  14. 14.
    Jia, W., Jin, W., Zhou, Sh, Yao, M.: Robust adaptive beamforming based on a new steering vector estimation algorithm. Signal Process. 93(9), 2539–2542 (2013)CrossRefGoogle Scholar
  15. 15.
    Huang, F., Sheng, W., Ma, X.: Modified projection approach for robust adaptive array beamforming. Signal Process. 92(7), 1758–1763 (2012)CrossRefGoogle Scholar
  16. 16.
    Mohammadzadeh, S., Kukrer, O.: Modified robust Capon beamforming with approximate orthogonal projection onto the signal-plus-interference subspace. Circuits Syst. Signal Process. 37(12), 5351–5368 (2018)MathSciNetCrossRefGoogle Scholar
  17. 17.
    Xie, J., Li, H., He, Z., Li, C.: A robust adaptive beamforming method based on the matrix reconstruction against a large DOA mismatch. EURASIP J. Adv. Signal Process. 91(1), 3881–3885 (2014)Google Scholar
  18. 18.
    Gu, Y., Leshem, A.: Robust adaptive beamforming based on interference covariance matrix reconstruction and steering vector estimation. IEEE Trans. Signal Process. 60(7), 3881–3885 (2012)MathSciNetCrossRefzbMATHGoogle Scholar
  19. 19.
    Yuan, X., Gan, Lu: Robust adaptive beamforming via a novel subspace method for interference covariance matrix reconstruction. Signal Process. 130, 233–242 (2017)CrossRefGoogle Scholar
  20. 20.
    Shen, F., Chen, F., Song, J.: Robust adaptive beamforming based on steering vector estimation and covariance matrix reconstruction. IEEE Commun. Lett. 19(9), 1636–1639 (2015)CrossRefGoogle Scholar
  21. 21.
    Yuan, X., Gan, L.: Robust algorithm against large look direction error for interference-plus-noise covariance matrix reconstruction. IET Electron. Lett. 52(6), 448–450 (2016)CrossRefGoogle Scholar
  22. 22.
    Yang, H., Li, W., Cao, D.: A modified robust algorithm against large look direction error based on interference-plus-noise covariance matrix reconstruction and steering vector double estimation. In: Progress in Electromagnetic Research, pp. 615–620 (2017)Google Scholar
  23. 23.
    Mohammadzadeh, S., Kukrer, O.: Adaptive beamforming based on theoretical interference-plus-noise covariance and direction-of-arrival estimation. IET Signal Process. 12, 819–825 (2018)CrossRefGoogle Scholar
  24. 24.
    Haykin, S., Liu, K.R.: Handbook on Array Processing and Sensor Networks. Wiley, New York (2010)CrossRefGoogle Scholar
  25. 25.
    Mallipeddi, R., Lie, J.P., Razul, S.G., Suganthan, P.N., See, C.M.S.: Robust adaptive beamforming based on covariance matrix reconstruction for look direction mismatch. Prog. Electromagn. Res. 25, 37–46 (2011)CrossRefGoogle Scholar
  26. 26.
    Goldberg, J., Messer, H.: Inherent limitations in the localization of a coherently scattered source. IEEE Trans. Signal Process. 46(12), 3441–3444 (1998)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.Electrical and Electronics DepartmentEastern Mediterranean UniversityGazimagusaTurkey

Personalised recommendations