Skip to main content
SpringerLink
Log in

Superdirective Acoustic Imaging with the Use of Flexible Microphone Arrays

  • Published:
Radiophysics and Quantum Electronics Aims and scope

We consider the problem of spatial localization of a set of sound sources using flexible microphone antenna arrays. At the beginning, the problem of determining the coordinates of microphones through the use of calibration sources is solved. For this, we use optimization of the objective function, which is the norm of the difference between the measured and estimated delays in the arrival of calibration signals from sources to microphones, by unknown coordinates of the calibration sources and microphones. The results of simulation and experiment are presented, which show an acceptable efficiency of the proposed calibration technique. For acoustic imaging, MUSIC and the maximum likelihood signal classification method (MLSIC) were employed. The first method is widely known and was previously used to estimate the direction of arrival of plane waves. The second method was recently proposed and is based on the interference model, which includes M sources of a coherent field. The results of localization of acoustic sources were obtained using numerical simulation, as well as by an experiment in an anechoic chamber. It was shown that the MLSIC method has a better spatial resolution than the MUSIC method.

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

Similar content being viewed by others

References

  1. M. Goseki, M.Ding, H.Takemura, and H. Mizoguchi, in: Proc. IEEE Int. Conf. Systems, Man and Cybernetics, October 9–12, 2011, Anchorage, USA, 139–143. https://doi.org/10.1109/ICSMC.2011.6083656

  2. G. Heilmann and A. Meyer, in: Proc. Berlin Beamforming Conference, February 19–20, 2008, Berlin, Germany, Art. No. 4.

  3. T. Padois and A. Berry, J. Acoust. Soc. Am., 141, No. 2, 134–139 (2017). https://doi.org/10.1121/1.4976138

    Article  ADS  Google Scholar 

  4. H. Siller, M. Drescher, G. Saueressig, and R. Lange, in: Proc. Berlin Beamforming Conference, February 21–24, 2010, Berlin, Germany, Art. No. 13.

  5. P. Stoica, P. Handel, and T. Soderstrom, Circuits, Systems, Signal Proc., 14, No. 6, 749–770 (1995). https://doi.org/10.1007/BF01204683

    Article  Google Scholar 

  6. P. Stoica and A. Nehorai, IEEE Trans. Acoust. Speech, Signal Proc., 37, No. 5, 720–741 (1989). https://doi.org/10.1109/29.17564

    Article  Google Scholar 

  7. H. Ammari, P. Calmon, and E. Iakovleva, SIAM J. Imaging Sci., 1, No. 2, 169–187 (2008). https://doi.org/10.1137/070696076

    Article  MathSciNet  Google Scholar 

  8. F. Shahbazi, A. Ziehe, and G. Nolte, in: IEEE Int. Conf. Acoustics, Speech Signal Proc. (ICASSP), May 22–27, 2011, Prague, Czech. Republic, 2744–2747. https://doi.org/10.1109/ICASSP.2011.5947053

  9. R. Song, X. Chen, and Y. Zhong, J. Acoust. Soc. Am., 132, No. 4, 2420–2426 (2012). https://doi.org/10.1121/1.4747000

    Article  ADS  Google Scholar 

  10. F. S. Avarvand, A. Ziehe, and G. Nolte, in: Proc. Berlin Beamforming Conference, March 2–3, 2012, Berlin, Germany, Art. No. 22.

  11. A. A. Rodionov and V. I. Turchin, Radiophys. Quantum Electron., 60, No. 1, 54–64 (2017). https://doi.org/10.1007/s11141-017-9776-0

    Article  ADS  Google Scholar 

  12. J.S.Abel, N. J. Bryan, T. Skare, et al., in: 127th Audio Engineering Soc. Convention, October 9–12, 2009, New York, USA, 826–836.

  13. D. Dobler, G. Heilmann, and M. Ohm, in: Proc. Berlin Beamforming Conference, February 24–25, 2010, Berlin, Germany, Art. No. 15.

  14. S. T. Birchfield and A. Subramanya, IEEE Trans. Speech Audio Proc., 13, No. 5, 1025–1034 (2005). https://doi.org/10.1109/TSA.2005.851893

    Article  Google Scholar 

  15. V. C. Raykar and R. Duraiswami, in: IEEE Int. Conf. Acoustics, Speech, Signal Proc. May 17–21, 2004, Montreal, Canada, 4, pp. 69–72. https://doi.org/10.1109/ICASSP.2004.1326765

  16. V. M. Verzhbitsky, Fundamentals of Numerical Methods [in Russian], Vysshaya Shkola, Moscow (2002).

  17. J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, SIAM J. Optimization, 9, No. 1, 112–147 (1998). https://doi.org/10.1137/S1052623496303470

    Article  Google Scholar 

  18. L. Han and M. Neumann, Optimization Methods and Software, 21, No. 1, 1–16 (2006). https://doi.org/10.1080/10556780512331318290

    Article  ADS  MathSciNet  Google Scholar 

  19. P. Yang, K. Tang, and X. Yao, IEEE Trans. Evol. Comput., 22, No. 1, 143–156 (2018). https://doi.org/10.1109/TEVC.2017.2672689

    Article  Google Scholar 

  20. J. C. Bezdek, et al., J. Optim. Theory Appl., 54, No. 3, 471–477 (1987). https://doi.org/10.1007/BF00940196

    Article  MathSciNet  Google Scholar 

  21. M. Blondel, K. Seki, and K. Uehara, Mach. Learn., 93, No. 1, 31–52 (2013). https://doi.org/10.1007/s10994-013-5367-2

    Article  MathSciNet  Google Scholar 

  22. H. L. Van Trees, Detection, Estimation, and Modulation Theory, Part I, Optimum Array Processing, Wiley, New York (1968).

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

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia

    A. S. Ivanenkov, A. A. Rodionov & N.V. Savel’yev

Authors
  1. A. S. Ivanenkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Rodionov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N.V. Savel’yev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. S. Ivanenkov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 64, No. 7, pp. 522–534, July 2021. Russian DOI: https://doi.org/10.52452/00213462_2021_64_07_522

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ivanenkov, A.S., Rodionov, A.A. & Savel’yev, N. Superdirective Acoustic Imaging with the Use of Flexible Microphone Arrays. Radiophys Quantum El 64, 471–481 (2021). https://doi.org/10.1007/s11141-022-10148-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11141-022-10148-5

Search

Navigation