Skip to main content
Log in

A Novel ESPRIT-Based Algorithm for DOA Estimation with Distributed Subarray Antenna

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

Abstract

Distributed subarray antennas (DSAs), which are sparse arrays consisting of two or more far separated subarrays, have many advantages over uniform linear array, especially for direction of arrival (DOA) estimation. However, they are subject to manifold ambiguity, which has significant influence on DOA estimation. In order to solve the manifold ambiguity of uncorrelated sources for DSA, a novel method based on estimation of signal parameters via rotational invariance technique by utilizing optimal subarray partition is proposed in this paper. In the proposed method, an optimized reference estimation is obtained by the rotational invariance between the new subarrays with optimal partition of DSA. The high accuracy and unambiguous DOA estimations are then disambiguated easily according to the optimized reference estimation. In this way, the performance of disambiguated DOA estimation can be enhanced in cases of the low signal-to-noise ratio and the large spacing between the subarrays. Moreover, the ambiguity threshold effect of DOA estimation for DSA is analyzed by means of the maximum a posteriori estimator. Computer simulation results show good performance of the proposed method and the effectiveness of the ambiguity threshold for DSA.

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

Access this article

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
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Y.I. Abramovich, N.K. Spencer, A.Y. Gorokhov, Resolving manifold ambiguities in direction-of-arrival estimation for nonuniform linear antenna arrays. IEEE Trans. Signal Process. 47, 2629–2643 (1999)

    Article  MathSciNet  Google Scholar 

  2. F. Athley, Direction-of-arrival estimation using separated subarrays, in The 34th asilomar conference on signals, systems, and computer (Pacific Grove, CA, 2000), pp. 585–589

  3. F. Athley, Optimization of element positions for direction finding with sparse arrays, in Proceedings of the 11th IEEE signal processing workshop on statistical signal processing (Singapore, 2001), pp. 516–519

  4. F. Athley, Threshold region performance of maximum likelihood direction of arrival estimators. IEEE Trans. Signal Process. 53, 1359–1373 (2005)

    Article  MathSciNet  Google Scholar 

  5. J.A. Cadzow, Y.S. Kim, D.C. Shiue, General direction-of-arrival estimation: a signal subspace approach. IEEE Trans. Aerosp. Electron. Syst. 25, 31–47 (1989)

    Article  MathSciNet  Google Scholar 

  6. B. Champagne, Source detection and DOA estimation from two observations of a finite line aperture, in IEEE international conference acoustics, speech, and signal processing, vol 4, pp. 61–64 (1993)

  7. G.H. Chen, B.X. Chen, Eigenstructure-based ambiguity resolution algorithm for distributed subarray antennas VHF radar. Electron. Lett. 48, 788–789 (2012)

    Article  Google Scholar 

  8. W. Chen, X. Xu, S. Wen, Super-resolution direction finding with far-separated subarrays using virtual array elements. IET Radar Sonar Navig. 5, 824–834 (2011)

    Article  Google Scholar 

  9. S. Coutts, K. Cuomo, F. Robey, Distributed coherent aperture measurements for next generation BMD radar, in IEEE sensor array and multichannel signal processing workshop, vol 1, pp. 390–393 (2005)

  10. B.K. Feng, C.J. David, Grating lobe suppression for distributed digital subarrays using virtual filling. IEEE Antennas Wirel. Propag. Lett. 12, 1323–1326 (2013)

    Article  Google Scholar 

  11. G.H. Golub, C.F. Van Loan, Matrix Computation, 3rd edn. (The John Hopkins University Press, Baltimore, 1996)

    Google Scholar 

  12. S. Haykin, An Introduction to Analog and Digital Communications (Wiley, New York, 1986)

    Google Scholar 

  13. Z. He, Z. Zhao, Z. Nie, P. Ma, Q.H. Liu, Resolving manifold ambiguities for sparse array using planar substrates. IEEE Trans. Antennas Propag. 60, 2558–2562 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  14. Z. He, Z. Zhao, Z. Nie, P. Tang, J. Wang, Q.H. Liu, Method of solving ambiguity for sparse array via power estimation based on MUSIC algorithm. Signal Process. 92, 542–546 (2012)

    Article  Google Scholar 

  15. P. Hyberg, M. Jansson, B. Ottersten, Array interpolation and DOA MSE reduction. IEEE Trans. Signal Process. 53, 4464–4471 (2005)

    Article  MathSciNet  Google Scholar 

  16. A.N. Lemma, A.J. van der Veen, E.F. Deprettere, Multiresolution ESPRIT algorithm. IEEE Trans. Signal Process. 47, 1722–1726 (1999)

    Article  Google Scholar 

  17. B. Li, B. Xu, Y.S. Yuan, Preestimation-based array interpolation approach to coherent source localization using multiple sparse subarrays. IEEE Signal Process. Lett. 16, 81–84 (2009)

    Article  Google Scholar 

  18. B. Liao, S.C. Chan, Direction-of-arrival estimation in subarrays-based linear sparse arrays with gain/phase uncertainties. IEEE Trans. Aerosp. Electron. Syst. 49, 2268–2280 (2013)

    Article  Google Scholar 

  19. J. Liu, Z. Zhao, Z. He, Z. Nie, Q.H. Liu, Resolving manifold ambiguities for direction-of-arrival estimation of sparse array using semi-circular substrates. IET Microw. Antennas Propag. 7, 1016–1020 (2013)

    Article  Google Scholar 

  20. G. Motti, J.W. Anthony, Array geometry for ambiguity resolution in direction finding. IEEE Trans. Antennas Propag. 44, 889–895 (1996)

    Article  Google Scholar 

  21. J.E. Nilsson, H. Warston, Radar with separated subarray antennas, in Proceedings of IEEE radar conference (Australia, 2003), pp. 194–199

  22. B. Ottersten, M. Viberg, T. Kailath, Performance analysis of the total least squares ESPRIT algorithm. IEEE Trans. Signal Process. 39, 1122–1134 (1991)

    Article  MATH  Google Scholar 

  23. B. Rao, K.V.S. Hari, Performance analysis of ESPRIT and TAM in determining the direction of arrival of plane waves in noise. Trans. Acoust. Speech Signal Process. 37, 1990–1995 (1989)

    Article  Google Scholar 

  24. B. Rao, K.V.S. Hari, Performance analysis of root-music. IEEE Trans. Acoust. Speech Signal Process. 37, 1939–1949 (1989)

    Article  Google Scholar 

  25. M. Rbsamen, A.B. Gershman, Subspace-based direction-of-arrival estimation for more sources than sensors using planar arrays, in IEEE sensor array and multichannel signal processing workshop (SAM), pp. 21–24 (2010)

  26. R.E. Skelton, D.A. Wagie, Minimal root sensitivity in linear systems. J. Guidance 7, 570–574 (1984)

    Article  MATH  Google Scholar 

  27. P. Stoica, A. Nehorai, Performance comparison of subspace rotation and MUSIC methods for direction estimation. IEEE Trans. Signal Process. 39, 446–453 (1991)

    Article  MATH  Google Scholar 

  28. H.L. Sun, H.H. Tao, H.R. Chang, Method of resolving ambiguity for sparse array via modified sparse even array based on MUSIC algorithm, in Second asian-pacific conference synthetic aperture radar, pp. 246–249 (2009)

  29. D.W. Tufts, H. Ge, R. Kumaresan, Resolving ambiguities in estimation spatial frequencies in sparse linear array, in IEEE international conference acoustics, speech, and signal processing, vol 2, pp. 345–348 (1994)

  30. H.L. Van Trees, Detection, Estimation, and Modulation Theory, Part I: Detection, Estimation and Linear Modulation Theory (Wiley, New York, 2002)

    Google Scholar 

  31. H.L. Van Trees, Detection, Estimation, and Modulation Theory, Part IV: Optimum Array Processing (Wiley, New York, 2002)

    Google Scholar 

  32. V.I. Vasylyshyn, Direction of arrival estimation using ESPRIT with sparse arrays, in European radar conference (Rome, Italy, 2009) pp. 246–249

  33. V.I. Vasylyshyn, Unitary ESPRIT-based DOA estimation using sparse linear dual size spatial invariance array, in European radar conference (Paris, France, 2005), pp. 157–160

  34. Q. Wang, R.B. Wu, M.D. Xing, Z. Bao, A new algorithm for sparse aperture interpolation. IEEE Geosci. Remote Sens. Lett. 4, 480–484 (2007)

    Article  Google Scholar 

  35. M.J. Wilson, R. McHugh, Sparse-periodic hybrid array beamformer. IET Radar Sonar Navig. 1, 116–123 (2007)

  36. K.T. Wong, M.D. Zoltowski, Direction-finding with sparse rectangular dual-size spatial invariance array. IEEE Trans. Aerosp. Electron. Syst. 34, 1320–1336 (1998)

  37. G.M. Zheng, B.X. Chen, Unitary dual-resolution ESPRIT for joint DOD and DOA estimation in bistatic MIMO radar. Multidim. Syst. Signal Process. (2013). doi:10.1007/s11045-013-0244-5

  38. G.M. Zheng, B. Wu, Y. Ma, B.X. Chen, Direction of arrival estimation with a sparse uniform array of orthogonally oriented and spatially separated dipole-triads. IET Radar Sonar Navig. 8, 885–894 (2014)

    Article  Google Scholar 

  39. M.D. Zoltowski, K.T. Wong, Closed-form eigenstructure-based direction finding using arbitrary but identical subarrays on a sparse uniform Cartesian array grid. IEEE Trans. Signal Process. 48, 2205–2211 (2000)

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to sincerely thank all the anonymous reviewers, the Associate Editor, and the Editor-in-Chief for their valuable comments and suggestions, which have greatly improved the quality of this paper. This work is supported by National Natural Science Foundation of China( 61101244).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yan Ma.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ma, Y., Chen, B., Yang, M. et al. A Novel ESPRIT-Based Algorithm for DOA Estimation with Distributed Subarray Antenna. Circuits Syst Signal Process 34, 2951–2972 (2015). https://doi.org/10.1007/s00034-015-9987-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-015-9987-6

Keywords

Navigation