Skip to main content
SpringerLink
Log in

2D DOA Estimation Through a Spiral Array Without the Source Number

  • Short Paper
  • Published:
Circuits, Systems, and Signal Processing Aims and scope Submit manuscript

Abstract

In this paper, a spiral array is designed to estimate two-dimensional direction of arrival (DOA), which allows a larger spacing between adjacent antennas of the array. The fourth-order cumulant is also utilized to create more virtual antennas, further enlarging the array aperture. The noise resistance of the high-order cumulant can help to construct an improved propagator, and there is no need for any priori knowledge of the source number to estimate the DOAs. With the help of the cumulant, a convex optimization is introduced to improve the estimation accuracy, which can overcome the estimation bias caused by the finite snapshots. Simulation results demonstrate the effectiveness of the proposed estimator.

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

Access this article

Log in via an institution

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

Similar content being viewed by others

Data Availability

The data used to support the findings of this study are included within the article.

References

  1. T. Ahmed, X. Zhang, W.U. Hassan, A higher-order propagator method for 2D-DOA estimation in massive MIMO systems. IEEE Commun. Lett. 24(3), 543–547 (2020)

    Article  Google Scholar 

  2. J.-F. Cai, E.J. CandRes, Z. Shen, A singular value thresholding algorithm for matrix completion. SIAM J. Optim. 20, 1956–1982 (2010)

    Article  MathSciNet  Google Scholar 

  3. H. Chen, W. Zhu, W. Liu, M.N.S. Swamy, Y. Li, Q. Wang, Z. Peng, RARE-based localization for mixed near-field and far-field rectilinear sources. Digital Signal Process. 85, 54–61 (2019)

    Article  Google Scholar 

  4. X. Dai, X. Zhang, Y. Wang, Extended DOA-matrix method for DOA estimation via two parallel linear arrays. IEEE Commun. Lett. 23(11), 1981–1984 (2019)

    Article  Google Scholar 

  5. M. Fu, Z. Zheng, W.-Q. Wang, Y. Liao, Two-dimensional direction of-arrival estimation for cylindrical nested conformal arrays. Signal Process. 179, 107838 (2021)

    Article  Google Scholar 

  6. G. Hua, Y. Dong, W. Hong, Direction of arrival estimation based on logarithm spiral array. Chin. J. Radio Sci. 24(6), 987–991 (2009)

    Google Scholar 

  7. G. Kumar, P. Ponnusamy, Direction finding of coherent sources using three parallel sparse arrays with less computational complexity. Circuits Syst. Signal Process. 40, 4576–4593 (2021)

    Article  Google Scholar 

  8. J. Li, Y. Wang, Z. Ren, X. Gu, M. Yin, Z. Wu, DOA and range estimation using a uniform linear antenna array without a priori knowledge of the source number. IEEE Tran. Antennas Propag. 65(5), 2929–2939 (2021)

    Article  Google Scholar 

  9. S. Marcos, A. Marsal, M. Benidir, The propagator method for source bearing estimation. Signal Process. 42(2), 121–138 (1995)

    Article  Google Scholar 

  10. R. Roy, T. Kailath, ESPRIT-estimation of signal parameters via rotational invariance techniques. IEEE Trans. Acoust. Speech Signal Process. 37(7), 984–995 (1989)

    Article  Google Scholar 

  11. R. Schmidt, Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas Propag. 34(3), 276–280 (1986)

    Article  Google Scholar 

  12. M. Tarkowski, L. Kulas, RSSs-based DOA estimation for ESPAR antennas using support vector machine. IEEE Antennas Wirel. Propag. Lett. 18(4), 561–565 (2019)

    Article  Google Scholar 

  13. L. Xiang, Z. Ye, X. Xu, C. Chang, W. Xu, Y.S. Hung, Direction of arrival estimation for uniform circular array based on fourth-order cumulants in the presence of unknown mutual coupling. IET Microw. Antennas Propag. 2(3), 281–287 (2008)

    Article  Google Scholar 

  14. W. Zeng, X. Li, X. Zhang, Direction-of-arrival estimation based on the joint diagonalization structure of multiple fourth-order cumulant matrices. IEEE Signal Process. Lett. 16(3), 164–167 (2009)

    Article  Google Scholar 

  15. Z. Zheng, Y. Huang, W.-Q. Wang, H.C. So, Augmented covariance matrix reconstruction for DOA estimation using difference coarray. IEEE Trans. Signal Process. 69, 5345–5358 (2021)

    Article  MathSciNet  Google Scholar 

  16. Z. Zheng, Y. Huang, W.-Q. Wang, H.C. So, Direction-of-arrival estimation of coherent signals via coprime array interpolation. IEEE Signal Process. Lett. 27, 585–589 (2020)

    Article  Google Scholar 

  17. Z. Zheng, S. Mu, Two-dimensional DOA estimation using two parallel nested arrays. IEEE Commun. Lett. 24(3), 568–571 (2019)

    Article  Google Scholar 

  18. W. Zuo, J. Xin, N. Zheng, A. Sano, Subspace-based localization of far-field and near-field signals without Eigen decomposition. IEEE Trans. Signal Process. 66(17), 4461–4476 (2018)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was supported in part by Key-Area Research and Development Program of Guangdong Province 2019B010141002, National Natural Science Foundation of China under Grants 62001127, and Guangzhou Municipal Science and Technology Project 202102021077.

Author information

Authors and Affiliations

  1. School of Integrated Circuits, Guangdong University of Technology, Guangzhou, 510000, China

    Jianzhong Li & Yuan Liu

  2. School of Automation, Guangdong University of Technology, Guangzhou, 510000, China

    Jianzhong Li, Junbiao Dai, Zexiao Liang, Dakang Liu & Shaozhi Guo

  3. Chipeye Microelectronics Foshan Ltd., Foshan, 528225, China

    Yuan Liu

Authors
  1. Jianzhong Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Junbiao Dai
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zexiao Liang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dakang Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Shaozhi Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Yuan Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yuan Liu.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, J., Dai, J., Liang, Z. et al. 2D DOA Estimation Through a Spiral Array Without the Source Number. Circuits Syst Signal Process 41, 3011–3022 (2022). https://doi.org/10.1007/s00034-021-01922-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-021-01922-3

Keywords

Search

Navigation