Skip to main content

Advertisement

Springer Nature Link
Log in

An optimal robust adaptive beamforming in the presence of unknown mutual coupling

  • Published:
Multidimensional Systems and Signal Processing Aims and scope Submit manuscript

Abstract

An optimal robust adaptive beamformer in the presence of unknown mutual coupling is proposed. In this proposed beamformer, envelopes of the received signals in the presence of unknown mutual coupling and their corresponding powers can be estimated by utilizing the Toeplitz characteristics of the mutual coupling matrix. Both of them are used to reconstruct the interference-plus-noise covariance matrix in a novel expression. A subspace orthogonal to the interference space can be obtained by performing the eigenvalue decomposition on this reconstructed matrix. Hence, the desired signal and the noise are retained by projecting the observed data to this orthogonal space. Finally, the optimal weight vector is obtained by passing the desired signal with the maximum output power criterion. The proposed method maintains excellent performance in the presence of unknown mutual coupling and the simulation results are consistent with the theoretical analysis.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  • Capon, J. (1969). High-resolution frequency-wavenumber spectrum analysis. Proceedings of the IEEE, 57(8), 1408–1418.

    Article  Google Scholar 

  • Carlson, B. D. (1988). Covariance matrix estimation errors and diagonal loading in adaptive arrays. IEEE Transactions on Aerospace and Electronic Systems, 24(4), 397–401.

    Article  Google Scholar 

  • Chang, L., & Yeh, C. C. (1992). Performance of DMI and eigenspace-based beamformers. IEEE Transactions on Antennas and Propagation, 40(11), 1336–1347.

    Article  Google Scholar 

  • Du, L., Li, J., & Stoica, P. (2010). Fully automatic computation of diagonal loading levels for robust adaptive beamforming. IEEE Transactions on Aerospace and Electronic Systems, 46(1), 449–458.

    Article  Google Scholar 

  • Feldman, D. D., & Griffiths, L. J. (1994). A projection approach for robust adaptive beamforming. IEEE Transactions on Signal Processing, 42(4), 867–876.

    Article  Google Scholar 

  • Gu, Y. J., & Leshem, A. (2012). Robust adaptive beamforming based on interference covariance matrix reconstruction and steering vector estimation. IEEE Transactions on Signal Processing, 60(7), 3881–3885.

    Article  MathSciNet  MATH  Google Scholar 

  • Huang, F., Sheng, W. X., & Ma, X. F. (2009). Adaptive beamforming in the presence of mutual coupling. In IET conference publications, IET international radar conference 2009 (p. 551). https://doi.org/10.1049/cp.2009.0491.

  • Huang, L., Zhang, J., Xu, X., & Ye, Z. F. (2015). Robust Adaptive beamforming with a novel interference-plus-noise covariance matrix reconstruction method. IEEE Transactions on Signal Processing, 63(7), 1643–1650.

    Article  MathSciNet  MATH  Google Scholar 

  • Kikuchi, S., Tsuji, H., & Sano, A. (2006). Autocalibration algorithm for robust Capon beamforming. IEEE Antennas and Wireless Propagation Letters, 5(1), 251–255.

    Article  Google Scholar 

  • Li, J., Stoica, P., & Wang, Z. S. (2003). On robust Capon beamforming and diagonal loading. IEEE Transactions on Signal Processing, 51(7), 1702–1715.

    Article  Google Scholar 

  • Liao, B., Zhang, Z. G., & Chan, S. C. (2016). DOA estimation and tracking of ULAs with mutual coupling. IEEE Transactions on Aerospace and Electronic Systems, 48(1), 891–905.

    Article  Google Scholar 

  • Qian, J. H., & He, Z. S. (2016). Mainlobe interference suppression with eigenprojection algorithm and similarity constraints. Electronics Letters, 52(3), 228–230.

    Article  Google Scholar 

  • Qian, J. H., He, Z. S., & Zhang, W. (2017). Robust adaptive beamforming for multiple-input multiple-output radar with spatial filtering techniques. Signal Processing, 143, 152–160.

    Article  Google Scholar 

  • Shen, F., Chen, F. F., & Song, J. Y. (2015). Robust adaptive beamforming based on steering vector estimation and covariance matrix reconstruction. IEEE Communications Letters, 19(9), 1636–1639.

    Article  Google Scholar 

  • Somasundaram, S. D., & Jakobsson, A. (2014). Degradation of covariance reconstruction-based robust adaptive beamformers. Sensor Signal Processing for Defence (SSPD), 2014, 1–5.

    Google Scholar 

  • Tsai, Y. T., Su, B., Tsao, Y., & Wang, S. S. (2016). Adaptive subspace-constrained diagonal loading. In 2016 Asia-Pacific signal and information processing association annual summit and conference (APSIPA) (pp. 1–4).

  • Yang, J., Li, R. Q., & Xi, X. Q. (2016). A adaptive beamforming design in low sample number conditions based on diagonal loading algorithm. IEEE International Conference on Signal and Image Processing (ICSIP), 2016, 755–758.

    Google Scholar 

  • Yang, J., Liao, G. S., Li, J., Lei, Y., & Wang, X. (2017). Robust beamforming with imprecise array geometry using steering vector estimation and interference covariance matrix reconstruction. Multidimensional Systems and Signal Processing, 28(2), 451–469.

    Article  MATH  Google Scholar 

  • Ye, Z., & Liu, C. (2009). Non-sensitive adaptive beamforming against mutual coupling. IET Signal Processing, 3(1), 1–6.

    Article  Google Scholar 

  • Yuan, X. L., & Gan, L. (2017). Robust adaptive beamforming via a novel subspace method for interference covariance matrix reconstruction. Signal Processing, 130, 233–242.

    Article  Google Scholar 

  • Yuan, X. L., Gan, L., & Liao, H. S. (2016). A novel robust adaptive beamforming based on interference covariance matrix reconstruction over annulus uncertainty sets. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E99A(7), 1473–1477.

    Article  Google Scholar 

  • Zhang, Y. P., Li, Y. J., & Gao, M. J. (2016a). Robust adaptive beamforming based on the effectiveness of reconstruction. Signal Processing, 120, 572–579.

    Article  Google Scholar 

  • Zhang, Z. Y., Liu, W., Leng, W., Wang, A. G., & Shi, H. P. (2016b). Interference-plus-Noise covariance matrix reconstruction via spatial power spectrum sampling for robust adaptive beamforming. IEEE Signal Processing Letters, 23(1), 121–125.

    Article  Google Scholar 

  • Zhuang, J., & Manikas, A. (2013). Interference cancellation beamforming robust to pointing errors. IET Signal Processing, 7(2), 120–127.

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work is supported by the National Natural Science Foundation of China (Nos. 61301262, 61371184) and the Fundamental Research Funds for the Central Universities (No. ZYGX2016J027).

Author information

Authors and Affiliations

  1. School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, China

    Julan Xie, Xue Yang, Huiyong Li, Xu Wang & Jun Li

Authors
  1. Julan Xie
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xue Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Huiyong Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xu Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Jun Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Julan Xie.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xie, J., Yang, X., Li, H. et al. An optimal robust adaptive beamforming in the presence of unknown mutual coupling. Multidim Syst Sign Process 30, 295–310 (2019). https://doi.org/10.1007/s11045-018-0557-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11045-018-0557-5

Keywords