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Planar nearfield acoustical holography (NAH) is a powerful experimental tool for studying and diagnosing noise radiation problems [1–11]. Based on measurements of typically sound pressure over a plane near the source, all sound field parameters can be calculated in any plane parallel with the measurement plane. In particular, the sound field can be mapped closer to the source than the measurement plane, which can provide very high spatial resolution of the source distribution. Since the calculation plane cannot in theory approach the source further than the nearest point on the source, planar NAH works best for but is not restricted to sources with a planar geometry.

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References

  1. J.D. Maynard, E.G. Williams and Y. Lee, “Nearfield acoustic holography: I. Theory of generalized holography and the development of NAH”, J. Acoust. Soc. Am., 78(4), 1395–1413 (1985).

    Article  ADS  Google Scholar 

  2. W.A. Veronesi and J.D. Maynard, “Nearfield acoustic holography (NAH) II. Holographic reconstruction algorithms and computer implementation”, J. Acoust. Soc. Am., 81(5), 1307–1322 (1987).

    Article  ADS  Google Scholar 

  3. E.G. Williams, Fourier Acoustics – Sound Radiation and Nearfield Acoustical Holography, Academic Press, (1999).

    Google Scholar 

  4. M.J. Crocker (editor), Handbook of Noise and Vibration Control, Chap. 48 by E.G. Wiliams, Wiley, New York (2005).

    Google Scholar 

  5. E.G. Williams, “Regularization methods for near-field acoustical holography”, J. Acoust. Soc. Am., 110(4), 1976–1988 (2001).

    Article  ADS  Google Scholar 

  6. E.G. Williams, B.H. Houston and P.C. Herdic, “Fast Fourier transform and singular value decomposition formulations for patch nearfield acoustical holography”, J. Acoust. Soc. Am., 114(3), 1322–1333 (2003).

    Article  ADS  Google Scholar 

  7. R. Steiner and J. Hald, “Near-field acoustical holography without the errors and limitations caused by the use of spatial DFT”, Proceedings of ICSV6 (1999).

    Google Scholar 

  8. J. Hald, “Patch near-field acoustical holography using a new statistically optimal method”, Proceedings of Inter-Noise (2003).

    Google Scholar 

  9. J. Hald, “STSF – a unique technique for scan-based near-field acoustic holography without restrictions on coherence”, B&K Technical Review, No. 1 (1989).

    Google Scholar 

  10. H.-S. Kwon, Y.-J. Kim and J.S. Bolton, “Compensation for source nonstationarity in multireference, scan-based nearfield acoustical holography”, J. Acoust. Soc. Am., 113(1), 360–368 (2003).

    Article  ADS  Google Scholar 

  11. J. Hald, “Time domain acoustical holography and its applications”, Sound Vibr., 16–25 (February 2001).

    Google Scholar 

  12. D.H. Johnson and D.E. Dudgeon, Array Signal Processing: Concepts and Techniques, Prentice Hall, New Jersey (1993).

    MATH  Google Scholar 

  13. J.J. Christensen and J. Hald, “Beamforming”, B&K Technical Review, No. 1 (2004).

    Google Scholar 

  14. J. Hald, “Combined NAH and Beamforming Using the Same Microphone Array”, Sound Vibr., 18–27 (December 2004).

    Google Scholar 

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Hald, J. (2008). Beamforming and Wavenumber Processing. In: Havelock, D., Kuwano, S., Vorländer, M. (eds) Handbook of Signal Processing in Acoustics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-30441-0_9

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