Skip to main content

Implementation of the HELS-Based NAH

  • Chapter
  • First Online:
The Helmholtz Equation Least Squares Method

Part of the book series: Modern Acoustics and Signal Processing ((MASP))

  • 1823 Accesses

Abstract

In this chapter we present the general guidelines for setting up measurement to get the desired accuracy and spatial resolution for the HELS-based NAH. There are several parameters that may influence the reconstruction results such as the number of measurement points, standoff distance, measurement aperture size versus source surface area, microphone spacing, and SNR. These parameters are generic for all NAH applications. The strategies for setting up the optimal measurement scheme are basically the same.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. B.P. Hildebrand, B.B. Brenden, An Introduction to Acoustical Holography (Plenum, New York, 1974)

    Book  Google Scholar 

  2. E.G. Williams, J.D. Maynard, Holographic imaging without the wavelength resolution limit”. Phys. Rev. Lett. 45, 554–557 (1980)

    Article  Google Scholar 

  3. V. Isakov, S.F. Wu, On theory and applications of the HELS method in inverse acoustics. Inverse Probl. 18, 1147–1159 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  4. The MathWorks, Inc., MATLAB Documentation: MATLAB Function Reference, (The MathWorks, Inc., MATLAB R2007b, 2007)

    Google Scholar 

  5. National Instruments Corporation, LabVIEW Help: VI and Function Reference, (National Instruments Corporation, LabVIEW 8.6, 2008)

    Google Scholar 

  6. H. Lu, Reconstruction of vibroacoustic responses using Helmholtz equation least squares method, Ph.D. dissertation, Wayne State University, Detroit, Michigan, 2007

    Google Scholar 

  7. S. F. Wu, Noise Diagnostics Using Nearfield Acoustical Holography Seminar (Society for Automobile Engineering International, Short Course ID# C0607, 2007)

    Google Scholar 

  8. H. Lu, S.F. Wu, Reconstruction of vibroacoustic responses of a highly nonspherical structure using Helmholtz equation least-squares method. J. Acoust. Soc. Am. 125, 1538–1548 (2009)

    Article  Google Scholar 

  9. C. E. Shannon, Communication in the presence of noise. Proc. Inst. Radio. Eng. 37, 10–21 (1949). Reprint as classic paper in Proceedings of IEEE, vol. 86, February 1998. pii: S 0018-9219(98)01299-7

    Google Scholar 

  10. S.M. Pandit, Modal and Spectrum Analysis: Data Dependent Systems in State Space (Wiley, New York, 1991)

    MATH  Google Scholar 

  11. P. Mohanty, D.J. Rixen, Operational modal analysis in the presence of harmonic excitation. J. Sound Vib. 270, 93–109 (2004)

    Article  Google Scholar 

  12. H. Lord, W.S. Gatley, H.A. Evensen, Noise Control for Engineers (Krieger Publishing Company, Malabar, 1987)

    Google Scholar 

  13. E.G. Williams, H.D. Dardy, K.B. Washburn, Generalized nearfield acoustical holography for cylindrical geometry: theory and experiment. J. Acoust. Soc. Am. 81, 389–407 (1987)

    Article  Google Scholar 

  14. E.G. Williams, H.D. Dardy, K.B. Washburn, Generalized nearfield acoustical holography for cylindrical geometry: theory and experiment. J. Acoust. Soc. Am. 81, 389–407 (1987)

    Article  Google Scholar 

  15. E.G. Williams, H.D. Dardy, K.B. Washburn, Generalized nearfield acoustical holography for cylindrical geometry: theory and experiment. J. Acoust. Soc. Am. 81, 389–407 (1987)

    Article  Google Scholar 

  16. E.G. Williams, H.D. Dardy, K.B. Washburn, Generalized nearfield acoustical holography for cylindrical geometry: theory and experiment. J. Acoust. Soc. Am. 81, 389–407 (1987)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer Science+Business Media New York

About this chapter

Cite this chapter

Wu, S.F. (2015). Implementation of the HELS-Based NAH. In: The Helmholtz Equation Least Squares Method. Modern Acoustics and Signal Processing. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1640-5_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4939-1640-5_5

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4939-1639-9

  • Online ISBN: 978-1-4939-1640-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics