Visualization of vehicle interior sound field using Nearfield Acoustical Holography based on the Helmholtz-Equation Least-Squares (HELS) method

Noise Control Engineering Journal

Volumn 53, Issue 4, 2005, Pages 145-154

  Moondra, Manmohan S ^a   Wu, Sean F ^a  

^a Wayne State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD (BEM); HELMHOLTZ-EQUATION LEAST-SQUARES (HELS) METHOD; ORTHOGONAL BASIS FUNCTIONS; VEHICLE INTERIOR SOUND FIELD;

ACOUSTIC HOLOGRAPHY; DATA MINING; DIFFERENTIAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; RESONANCE; VEHICLES;

ACOUSTIC FIELDS;

EID: 29444445369     PISSN: 07362501     EISSN: None     Source Type: Journal    
DOI: 10.3397/1.2839253     Document Type: Article

References (17)

1. Earl G. Williams, J. D. Maynard, and Eugen Skudrzyk, "Sound source reconstruction using a microphone array," J. Acoust. Soc. Am. 68(1), 340-344 (1980).
2. Earl G. Williams, Fourier Acoustics, Sound Radiation and Nearfield Acoustical Holography (Academic Press, San Diego, California, 1999).
3. 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).
4. W. A. Veronesi and J. D. Maynard, "Nearfield acoustic holography (NAH): II. Holographic reconstruction and computer implementation," J. Acoust. Soc. Am. 81(5), 1307-1322 (1987).
5. W. A. Veronesi and J. D. Maynard, "Digital holographic reconstruction of sources with arbitrarily shaped surfaces," J. Acoust. Soc. Am. 85(2), 588-598 (1989).
6. Zhaoxi Wang and Sean F. Wu, "Helmholtz equation-least-squares method for reconstructing the acoustic pressure field," J. Acoust. Soc. Am. 102(4), 2020-2032 (1997).
7. Scan Ḟ. Wu and Jingyou Yu, "Reconstructing interior acoustic pressure fields via Helmholtz equation-least-squares method," J. Acoust. Soc. Am. 104(4), 2054-2060 (1998).
8. Sean F. Wu, "On reconstruction of acoustic pressure fields using the Helmholtz equation-least-squares method," J. Acoust. Soc. Am. 107(5), 2511-2522 (2000).
9. Nassif Rayess and Sean F. Wu, "Experimental validations of the HELS method for reconstructing acoustic radiation from a complex vibrating structure," J. Acoust. Soc. Am. 107(6), 2955-2964 (2000).
10. Sean F. Wu and Xiang Zhao, "Combined Helmholtz equation-least- squares method for reconstructing acoustic radiation from arbitrarily shaped objects," J. Acoust. Soc. Am. 112(1), 179-188 (2002).
11. P. J. Davis and P. Rabinowitz, Advances in Computers, edited by F. L. Alt, 2, 55-133 (Advances in ortho-normalizing computation, 1961).
12. V. Isakov and S. F. Wu, "On theory and applications of the HELS method in inverse acoustics," Inverse Problem, 18, 1147-1159 (2002).
13. P. M. Morse and K. U. Ingard, Theoretical Acoustics (Princeton University Press, 1986).
14. A. N. Tikhonov and V. Y. Arsenin, Solutions of Ill-Posed Problems (Wiley, New York, 1977).
15. P. C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems (SIAM, Philadelphia, Pennsylvania, 1998).
16. Byoung-Duk Lim and Sean F. Wu, "Determination of the optimal number of expansion terms in the HELS method," J. Acoust. Soc. Am. 108(5), 2505 (2000).
17. J. W. Demmel, Applied Numerical Linear Algebra (University of California, SIAM Publishing Co., 1997).