DOA Estimation for Coherent and Incoherent Targets with Co-prime MIMO Array

  • Conference paper
  • First Online:
Wireless and Satellite Systems (WiSATS 2019)

Abstract

In this paper, we consider the problem of DOA estimation for a mix of incoherent and coherent targets by using the monostatic co-prime MIMO array with N sparse transmitting sensors and \(2M-1\) sparse receiving sensors. The co-prime MIMO array generates a non-redundant and uniform sub sum co-array with \({\text {O}}(MN)\) contiguous sensors using only \({\text {O}}(M+N)\) physical sensors. Based on the concept of sum co-array equivalence, we can obtain different configurations of virtual MIMO arrays with \({\text {O}}(MN)\) contiguous virtual sensors, and then construct the corresponding virtual data matrices, which provides different tradeoffs between the number of resolvable targets and the maximum number of mutually coherent targets that can be resolved. On the basis of the virtual data matrix and the conventional DOA estimation approaches such as MUSIC, \({\text {O}}(MN)\) mixed coherent and incoherent targets can be resolved only with \({\text {O}}(M+N)\) physical sensors, namely the number of resovable targets exceeds the limitation of the number of physical sensors. Finally, simulation results demonstrate the effectiveness of the proposed DOA estimation method with the monostatic co-prime MIMO array in the presence of both the coherent and incoherent targets.

Supported by National Natural Science Foundation of China under Grant 61501062, 41574136 and 41304117, and Scientific Research Foundation of the Science and Technology Department of Sichuan Province under Grant 2018GZ0454.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. BouDaher, E., Ahmad, F., Amin, M.G.: Sparsity-based direction finding of coherent and uncorrelated targets using active nonuniform arrays. IEEE Sig. Process. Lett. 22(10), 1628–1632 (2015). https://doi.org/10.1109/LSP.2015.2417807

    Article  Google Scholar 

  2. BouDaher, E., Jia, Y., Ahmad, F., Amin, M.G.: Direction-of-arrival estimation using multi-frequency co-prime arrays. In: 2014 22nd European Signal Processing Conference (EUSIPCO), pp. 1034–1038, September 2014

    Google Scholar 

  3. BouDaher, E., Jia, Y., Ahmad, F., Amin, M.G.: Multi-frequency co-prime arrays for high-resolution direction-of-arrival estimation. IEEE Trans. Sig. Process. 63(14), 3797–3808 (2015). https://doi.org/10.1109/TSP.2015.2432734

    Article  MathSciNet  MATH  Google Scholar 

  4. BouDaher, E., Ahmad, F., Amin, M.G.: Sparse reconstruction for direction-of-arrival estimation using multi-frequency co-prime arrays. EURASIP J. Adv. Sig. Process. 2014(1), 168 (2014). https://doi.org/10.1186/1687-6180-2014-168

    Article  Google Scholar 

  5. BouDaher, E., Ahmad, F., Amin, M.G.: Sparsity-based DOA estimation of coherent and uncorrelated targets using transmit/receive co-prime arrays (2015). https://doi.org/10.1117/12.2177597

  6. Hoctor, R.T., Kassam, S.A.: The unifying role of the coarray in aperture synthesis for coherent and incoherent imaging. Proc. IEEE 78(4), 735–752 (1990). https://doi.org/10.1109/5.54811

    Article  Google Scholar 

  7. Hoctor, R.T., Kassam, S.A.: High resolution coherent source location using transmit/receive arrays. IEEE Trans. Image Process. 1(1), 88–100 (1992). https://doi.org/10.1109/83.128033

    Article  Google Scholar 

  8. Liu, C., Vaidyanathan, P.P.: Remarks on the spatial smoothing step in coarray music. IEEE Sig. Process. Lett. 22(9), 1438–1442 (2015). https://doi.org/10.1109/LSP.2015.2409153

    Article  Google Scholar 

  9. Pal, P., Vaidyanathan, P.P.: Coprime sampling and the music algorithm. In: 2011 Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE), pp. 289–294, January 2011. https://doi.org/10.1109/DSP-SPE.2011.5739227

  10. Qin, S., Zhang, Y.D., Amin, M.G.: Generalized coprime array configurations for direction-of-arrival estimation. IEEE Trans. Sig. Process. 63(6), 1377–1390 (2015). https://doi.org/10.1109/TSP.2015.2393838

    Article  MathSciNet  MATH  Google Scholar 

  11. Qin, S., Zhang, Y.D., Amin, M.G.: Doa estimation of mixed coherent and uncorrelated targets exploiting coprime mimo radar. Digit. Sig. Process. 61, 26–34 (2017). https://doi.org/10.1016/j.dsp.2016.06.006. Special Issue on Coprime Sampling and Arrays

    Article  Google Scholar 

  12. Schmidt, R.: Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas Propag. 34(3), 276–280 (1986). https://doi.org/10.1109/TAP.1986.1143830

    Article  Google Scholar 

  13. Tan, Z., Eldar, Y.C., Nehorai, A.: Direction of arrival estimation using co-prime arrays: a super resolution viewpoint. IEEE Trans. Sig. Process. 62(21), 5565–5576 (2014). https://doi.org/10.1109/TSP.2014.2354316

    Article  MathSciNet  MATH  Google Scholar 

  14. Vaidyanathan, P.P., Pal, P.: Sparse sensing with coprime arrays. In: 2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers, pp. 1405–1409, November 2010. https://doi.org/10.1109/ACSSC.2010.5757766

  15. Vaidyanathan, P.P., Pal, P.: Sparse sensing with co-prime samplers and arrays. IEEE Trans. Sig. Process. 59(2), 573–586 (2011). https://doi.org/10.1109/TSP.2010.2089682

    Article  MathSciNet  MATH  Google Scholar 

  16. Vaidyanathan, P.P., Pal, P.: Theory of sparse coprime sensing in multiple dimensions. IEEE Trans. Sig. Process. 59(8), 3592–3608 (2011). https://doi.org/10.1109/TSP.2011.2135348

    Article  MathSciNet  MATH  Google Scholar 

  17. Wang, X., Wang, W., Liu, J., Li, X., Wang, J.: A sparse representation scheme for angle estimation in monostatic mimo radar. Signal Processing 104, 258–263 (2014). https://doi.org/10.1016/j.sigpro.2014.04.007

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yong Jia .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Jia, Y. et al. (2019). DOA Estimation for Coherent and Incoherent Targets with Co-prime MIMO Array. In: Jia, M., Guo, Q., Meng, W. (eds) Wireless and Satellite Systems. WiSATS 2019. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 281. Springer, Cham. https://doi.org/10.1007/978-3-030-19156-6_56

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-19156-6_56

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-19155-9

  • Online ISBN: 978-3-030-19156-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Navigation