Abstract
The basic concepts of the discrete wavelet analysis are outlined. Examples of using the dyadic wavelet transform for processing the information concerning the ultrasonic field structure detected by a laser interferometer are considered.
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REFERENCES
Pereberin, A.V., Systematization of Wavelet Transforms, Vychislitel'nye Metody i Programmirovanie, 2001, vol. 2, pp. 15-40.
Astaf'eva, N.M., Wavelet Analysis: Fundamentals of Theory and Examples of Applications, Usp. Fiz. Nauk, 1996, vol. 166, no. 11, pp. 1145-1170.
Perov, D.V. and Rinkevich, A.B., Using Wavelets for Analyzing Ultrasonic Fields Detected by a Laser Interferometer. Basic Concepts of the Wavelet Analysis, Defektoskopiya, 2001, no. 12, pp. 55-66.
Perov, D.V., Rinkevich, A.B., Smorodinskii, Ya.G., and Keler, B. Using Wavelets for Analyzing Ultrasonic Fields Detected by a Laser Interferometer. Flaw Detection and Localization in an Aluminum single crystal, Defektoskopiya, 2001, no. 12, pp. 55-66.
Dremin, I.M., Ivanov, O.V., and Nechitailo, V.A., Wavelets and their Use, Usp. Fiz. Nauk, 2001, vol. 171, no. 5, pp. 465-501.
Novikov, L.V., Spectral Analysis of Signals in a Wavelet Basis, Nauchnoe Priborostroenie, 2000, vol. 10, no. 3, pp. 57-64.
Franks, L., Theory of Signals. Translated into Russian under the title Teoriya signalov, Moscow: Sov. Radio, 1974.
Gonorovskii, I.S. and Demin, M.P., Radiotekhnicheskie tsepi i signaly (Radio Circuits and Signals), Moscow: Radio i Svyaz', 1994.
Daubechies, I. Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 61, Philadelphia: SIAM, 1992. Translated into Russian under the title Desyat' lektsii po veivletam, Izhevsk: NITs “Regulyarnaya i Khaoticheskaya Dinamika”, 2001.
Wavelets and Their Applications, Coifman, R., Ed., Boston: Jones and Barlett Publ., 1992.
Donoho, D.L. and Johnstone, I.M., Ideal Spatial Adaptation by Wavelet Shrinkage, Biometrika, 1994, vol. 81, pp. 425-455.
Donoho, D.L., Denoising via Soft Thresholding, IEEE Trans. Inf. Theory, 1995, vol. 41, no. 5, pp. 613-627.
Birgé, L. and Massarat, P., From Model Selection to Adaptive Estimation, in: Festchrift for L. Le Cam, Polland, D., ed., Springer, 1997, pp. 55-88.
Rinkevich, A.B., Smorodinskii, Ya.G., Burkhanov, A.M., Krivonosova, A.S., and Keler, B., Analysis of Ultrasonic Fields and Flaw Detection in Aluminum Single Crystals Using the Laser Detection Technique, Defektoskopiya, 2000, no. 11, pp. 64-73.
Rinkevich, A.B., Burkhanov, A.M., Rodionov, D.P., Khlebnikov, Yu.V., and Keler, B., Acoustic Fields in a Steel Single Crystal in the Austenitic and Martensitic States, Fiz. Met. Metalloved., 2001, vol. 92, no. 3, pp. 33-43.
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Perov, D.V., Rinkevich, A.B. Dyadic-Wavelet-Transform Filtering of Ultrasonic Signals Detected by a Laser Interferometer. Russian Journal of Nondestructive Testing 38, 288–305 (2002). https://doi.org/10.1023/A:1020969706759
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DOI: https://doi.org/10.1023/A:1020969706759