Browse > Article

Enhancing Nearfield Acoustic Holography using Wavelet Transform  

Ko, ByeongSik (Director, Korea simulation technology Inc.)
Publication Information
Journal of Mechanical Science and Technology / v.18, no.10, 2004 , pp. 1738-1746 More about this Journal
Abstract
When there are low signal to noise relationships or low coherences between measured pressure and a reference sensor, a pressure field measured and estimated by NAH (Nearfield Acoustic Holography) becomes noisy on the hologram and source planes. This paper proposes a method to obtain the high coherent de-noised pressure signals from low coherent noisy ones by combining a wavelet algorithm with NAH. The proposed method obtains the de-noised field from acoustic fields on a noise source plane reconstructed through backward propagation of NAH. Thus this method does not need high coherent pressure signals on the hologram surface while the conventional nearfield acoustic holography requires high-coherent signals. The proposed method was verified by numerical simulation using noisy signals, composed of original signals and imposed noises distributed on the hologram surface.
Keywords
Wavelet; Holography; Denoising; Acoustics;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Verosi, W. D. and Maynard, J. D., 1987, 'Nearfield Acoustic Holography : II. Holographic Reconstruction Algorithms and Computer Algorithms,' J. Acoust. Soc. Am. Vol. 81, No. 5, pp. 1307-1322   DOI
2 Wang, Z. and Wu, S. F., 1997, 'Helmholtz Equation-Least-Squares Method for Reconstructing the Acoustic Pressure Field,' J. Acoust. Soc. Am., Vol. 102, No. 4, pp. 2020-2032   DOI   ScienceOn
3 Morlet, J., 1983, 'Sampling Theory and Wave Propagation,' in NATO ASI Series, Vol. 1, Issues in Acoustic signal/Image processing and recognition, C. H. Chen, ed. Springer-Verlag, Berlin, pp. 233-261
4 A. Said, W. A. Pearlman, 'A new, fast, and efficient image codec based on set partitioning in hierarchical trees', Circuits and Systems for Video Technology, IEEE Trans. on , Vol. 6Issue: 3, June 1996, pp. 243-250   DOI   ScienceOn
5 Shao, X. and Cherkassky, V., 1998, 'Model Selection for Wavelet-Based Signal Estimation,' Proc. IEEE Intl. Joint Conf. on Neural Networks, Vol. 2, pp. 843-848   DOI
6 J. M. Shapiro, 'Embedded image coding using zerotrees of wavelet coefficients', Signal Processing, IEEE Trans. on [see also Acoustics, Speech, and Signal Processing, IEEE Transactions on], Vol. 41 Issue: 12, pp. 3445-3462, Dec. 1993   DOI   ScienceOn
7 Simoncelli, E. P., 1999, 'Bayesian De-noising of Visual Images in the Wavelet Domain,' in Bayesian Inference in Wavelet Based Models, Muller and Vidakovic (eds.), Springer Verlag
8 Donoho, D. L. and Johnstone, I. M., 1994, 'Ideal Spatial Adaptation Via Wavelet Thresholding,' Biometrika, Vol. 81, pp. 425-455   DOI   ScienceOn
9 Donoho D.L., 'De-Noising by soft-thresholding', IEEE, Vol.41, pp.613-627, 1995   DOI   ScienceOn
10 Dumbacher, S. M., Brown, D. L., Blough, J. R. and Bono, R. W., 2000, 'Practical Aspects of Making NAH Measurements,' SAE Transaction, Vol. 108, No. 6, Part 2., pp. 3081-3090
11 Goodman, W., 1968, Introduction to Fourier Optics, McGraw-HilI
12 Haar, A., 1910, 'Zur Theorie Der Orthogonalen Funktionen-Systeme,' Math. Ann., Vol. 69, pp. 331-371   DOI
13 Maynard, J. D., Williams, E. G. and Lee Y., 1985, 'Nearfield Acoustic Holography : I. Theory of Generalized Holography and the Development of NAH,' J. Acoust. Soc. Am. Vol. 78, No. 4, pp. 1395-1413   DOI
14 Meyer, Y., 1993, Wavelets: Algorithms and Applications, SIAM
15 A. Chambolle, R. A. Devore, N. Lee and B. J. Lucier, 'Nonlinear wavelet image processing variational problems, compression, and noise removal through wavelet shrinkage', IEEE Trans. on Image Processing, vol. 7, no. 3, pp. 319-335, March 1998   DOI   ScienceOn
16 Chang, S. G. and Vetterli, M., 1997, 'Spatial Adaptive Wavelet Thresholding for Image Denoising,' Proc of IEEE Intl Conf on Image Processing, pp. 374-377   DOI
17 Coifman, R. R. and Donoho, D. L., 1995, Ideal Translation Invariant De-noising, Springer Verlag
18 Donoho, D. L., 1992, 'Wavelet Thresholding and W. V. D. : A 10-minute Tour,' Intl. Conf. on Wavelets and Applications, Toulouse, France, June
19 Donoho, D. L. and Johnstone, I. M., 1993, 'Adaptating to Unknown Smoothness by Wavelet Shrinkage,' Technical Report, Department of Statistics, Stanford University
20 Borgiotti, G., Sarkissian, A., Williams, E. G. and Schuetz, L., 1990, 'Conformal Generalized Near-Field Acoustic Holography for Axisymmetric Geometries,' J. Acoust. Soc. Am. Vol. 88, pp. 199-209   DOI