Spatial resolution limits for the reconstruction of acoustic source strength by inverse methods

Journal of Sound and Vibration

Volumn 265, Issue 3, 2003, Pages 583-608

  Kim, Y ^a   Nelson, P A ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; ESTIMATION; FOURIER TRANSFORMS; GRAPH THEORY; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; VECTORS;

ACOUSTIC SOURCE STRENGTH; GENERALIZED CROSS-VALIDATION; SPATIAL RESOLUTION; TIKHONOV REGULARIZATION;

ACOUSTIC HOLOGRAPHY;

EID: 0042697372     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01452-9     Document Type: Article

References (22)

1. P.A. Nelson, S.H. Yoon, Estimation of acoustic source strength by inverse methods: Part I, conditioning of the inverse problem, Journal of Sound and Vibration 233 (4) (2000) 643-668.
2. P.A. Nelson, A review of some inverse problems in acoustics, International Journal of Acoustics and Vibration 6 (3) (2001) 118-134.
3. S.H. Yoon, P.A. Nelson, Estimation of acoustic source strength by inverse methods: Part II, experimental investigation of methods for choosing regularization parameters, Journal of Sound and Vibration 233 (4) (2000) 665-701.
4. Y. Kim, P.A. Nelson, Regularization methods for acoustic source reconstruction, Proceedings of InterNoise 2000 1 (2000) 128-132.
5. J.L. Harris, Diffraction and resolving power, Journal of the Optical Society of America 54 (1964) 931-936.
6. L. Rayleigh, On the theory of optical images, with special reference to the microscope, Philosophical Magazine 42 (1896) 167.
7. K.R. Castleman, Digital Image Processing, Prentice-Hall, Englewood Cliffs, NJ, 1996.
8. H.C. Andrew, H.R. Hunt, Digital Image Restoration, Prentice-Hall, Englewood Cliffs, NJ, 1997.
9. J.M. Varah, A practical examination of some numerical methods for linear discrete ill-posed problems, SIAM Review 21 (1979) 100-111.
10. P.C. Hansen, The discrete Picard condition for discrete ill-posed problems, BIT 30 (1990) 658-672.
11. A.N. Tikhonov, Solution of incorrectly formulated problems and the regularization method, Soviet Mathematics DOKL 4 (1963) 1035-1038.
12. G.H. Goulb, M. Health, G. Wahba, Generalized cross-validation as a method for choosing a good ridge parameter, Technometrices 21 (1979) 215-223.
13. G. Wahba, Spline Models for Observation Data: CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, 1990, pp. 45-65.
14. E.G. Williams, J.D. Maynard, Holographic imaging without the wavelength resolution limit, Physics Review Letters 45 (1980) 554-557.
15. J.D. Maynard, E.G. Williams, Y. Lee, Nearfield acoustic holography: I. Theory of generalized holography and the development of NAH, Journal of the Acoustical Society of America 78 (1985) 1395-1413.
16. A.B. Porter, On the diffraction theory of optical images, Philosophical Magazine 1 (1906) 154.
17. A. Vanderlugt, Optical Signal Processing, Wiley, New York, 1992, pp. 105-110.
18. P.A. Nelson, Y. Kim, Optical conditioning of inverse problems in acoustic radiation, 17th International Congress on Acoustics (Book of Abstracts), Vol. 94, 2001.
19. A.P. Dowling, J.E. Ffowcs-Williams, Sound and Sources of Sound, Ellis Horwood, Chichester, 1983.
20. P.A. Nelson, S.J. Elliott, Active Control of Sound, Academic Press, San Diego, 1992, pp. 61-67.
21. S. Barnett, Matrices: Methods and Applications, Oxford University Press, Oxford, 1990, pp. 342-384.
22. B.R. Hunt, The application of constrained least squares estimation to image restoration by digital computer, IEEE Transactions on Computers C-22 (9) (1973) 805-812.