Abstract
Situations may occur in ultrasonic testing in which the values of recorded echo-signals exceed the dynamic range of the receiving amplifier and defectoscope’s analog-to-digital converter. As a result, high-amplitude signals are subjected to a cutoff (clipping) operation and drop in amplitude, thus introducing error in the estimation of reflector dimensions. A declipping method that is based on the Papoulis–Gerchberg algorithm has been suggested and compared against a declipping technique that uses least squares. In numerical and model experiments, the Papoulis–Gerchberg algorithm has demonstrated more stable operation than the least squares for noisy signals and in the case of coarse signal sampling interval.
Similar content being viewed by others
References
Janssen, A., Veldhuis, R., and Vries, L., Adaptive interpolation of discrete-time signals that can be modeled as autoregressive processes, IEEE Trans. Acoust. Speech Signal Process., 1986, no. 4, p. 317.
Miura, S., Nakajima, H., Miyabe, S., Makino, S., Yamada, T., and Nakadai, K., Restoration of clipped audio signal using recursive vector projection, TENCON, 2011, no. 11, pp. 394–397.
Kitic, S., Jacques, L., Madhu, N., Hopwood, M., Spriet, A., and De Vleeschouwer, C., Consistent iterative hard thresholding for signal declipping, IEEE Int. Conf. Acoust. Speech Signal Process., 2013, no. 5.
Adler, A., Emiya, V., Jafari, M., Elad, M., Gribonval, R., and Plumbley, M., Audio inpainting, IEEE Trans. Acoust. Speech Signal Process., 2012, no. 4, pp. 922–932.
Defraene, B., Mansour, N., De Hertogh, S., van Waterschoot, T., Diehl, M., and Moonen, M., Declipping of audio signals using perceptual compressed sensing, IEEE Trans. Audio Speech Lang. Process., 2013, vol. 21, no. 12, pp. 2627–2637.
Selesnick, I., http://cnx.org/content/ m46131/1.1/. Cited December 29, 2016.
Bottcher, A. and Grudsky, S.M., Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis, Birkhauser, 2000, p. 121.
Harvilla, M.J. and Stern, R.M., http://www.cs.cmu.edu/~mharvill/papers/rbar_paper_final.pdf. Cited December 29, 2016.
Aleshin, N.P., Belyi, V.E., Vopilkin, A.Kh., Voshchanov, A.K., Ermolov, I.N., and Gurvich, A.K., Metody akusticheskogo kontrolya metallov (Methods of Acoustic Testing of Metals), Moscow: Mashinostroenie, 1989.
Vasilenko, G.I. and Taratorin, A.M., Vosstanovlenie izobrazhenii (Image Reconstruction), Moscow: Radio i svyaz', 1986.
Bazulin, E.G., Improving longitudinal resolution in acoustic systems for imaging of inhomogeneities when extrapolating echo-pulse spectra, Akust. Zh., 1993, vol. 39, no. 1, pp. 19–24.
http://www.extende.com/. Cited December 29, 2016.
Bazulin, E.G., Vopilkin, A.Kh., and Tikhonov, D.S., Improving the reliability of ultrasonic testing. Part 1. Determining the type of an inhomogeneity when running ultrasonic testing with antenna arrays, Kontrol’ Diagn., 2015, no. 8, pp. 7–22.
Samarskii, A.A. and Gulin, A.V., Chislennye metody. Ucheb. posobie dlya vuzov (Numerical Methods. A Handbook for Universities), Moscow: Nauka, 1989.
PAA-Defectoscope X-32. http://www.harfang.ru/content/x-32.html. Cited December 29, 2016.
Bazulin, A.E. and Bazulin, E.G., Application of antenna arrays and organosilicon polymers as an immersion medium for ultrasonic testing of objects with rough surfaces, Russ. J. Nondestr. Test., 2014, vol. 50, no. 7, pp. 377–384.
http://www.nvidia.ru/object/cuda-parallel-computing-ru.html. Cited December 29, 2016.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.G. Bazulin, 2017, published in Defektoskopiya, 2017, No. 10, pp. 12–25.
Rights and permissions
About this article
Cite this article
Bazulin, E.G. Eliminating saturation-type distortions in ultrasonic signals by the least-squares and Papoulis–Gerchberg algorithms. Russ J Nondestruct Test 53, 686–699 (2017). https://doi.org/10.1134/S1061830917100023
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1061830917100023