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Matching-pursuit-based adaptive wavelet-packet atomic decomposition applied in ultrasonic inspection

  • Acoustic Methods
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Abstract

A novel method of time-frequency analysis, wavelet-packet atomic decomposition based on the matching-pursuit (MP) algorithm, is proposed for improvement of ultrasonic flaw detection during ultrasonic NDT. The MP algorithm is used to decompose a nonlinear and nonstationary signal into given atoms in an overcomplete wavelet-packet dictionary. The wavelet-packet dictionary with Daubechies wavelet functions, which well match the observed ultrasonic flaw echoes, is selected. By means of adaptively selecting the optimum atoms to reconstruct a signal, it is possible to obtain spare approximations of the original signal with less complexity and to efficiently improve a signal corrupted by noise. A distinct SNR enhancement for an ultrasonic echo during flaw detection is verified by computer simulation and experimental results.

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References

  1. Zhang, G., Zhang, S., and Wang, Yu., Application of Adaptive Time-Frequency Decomposition in Ultrasonic NDE of Highly-Scattering Materials, Ultrasonics, 2000, vol. 38, pp. 961–964.

    Article  CAS  Google Scholar 

  2. Mallat, S. and Zhang, Z., Matching Pursuit with Time-Frequency Dictionaries, IEEE Trans. Signal Process., 1993, vol. 41, pp. 3397–3415.

    Article  Google Scholar 

  3. Ruiz-Reyes, N., Vera-Candeas, P., Curpia’n-Alonso, et al., New Matching Pursuit-Based Algorithm for SNR Improvement in Ultrasonic NDT, NDTE Int., 2005, vol. 38, pp. 453–458.

    Article  CAS  Google Scholar 

  4. Hong, J.-Ch., Sun, K.H., and Kim, Y.Y., The Matching Pursuit Approach Based on the Modulated Gaussian Pulse for Efficient Guided-Wave Damage Inspection, Smart Mater. Struct., 2005, vol. 14, pp. 548–560.

    Article  Google Scholar 

  5. Hong J.-Ch., Sun, K.H., and Kim, Y.Y., Waveguide Damage Detection by the Matching Pursuit Approach Employing the Dispersion-Based Chirp Functions, IEEE Trans. Ultrason. Ferroelect., Freq. Control, 2006, vol. 53, no. 3, pp. 592–604.

    Article  Google Scholar 

  6. Demirli, R. and Saniie, J., A High Fidelity Time-Frequency Representation for Ultrasonic Signal Analysis, IEEE Ultrason. Symp., 2003, pp. 1376–1379.

  7. Yang, H., Mathew J., and Ma, L., Fault Diagnosis of Rolling Element Bearing Using Basis Pursit, Mech. Syst. Signal Process., 2005, vol. 19, pp. 341–356.

    Article  Google Scholar 

  8. Vera-Candeasa, P., Ruiz-Reyesa, N., Rosa-Zurerab, M., et al., Fast Implementation of an Improved Parametric Audio Coder Based on a Mixed Dictionary, Signal Process., 2006, vol. 86, pp. 432–443.

    Article  Google Scholar 

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Yang, G., Zhang, Q. & Que, PW. Matching-pursuit-based adaptive wavelet-packet atomic decomposition applied in ultrasonic inspection. Russ J Nondestruct Test 43, 62–68 (2007). https://doi.org/10.1134/S1061830907010093

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  • DOI: https://doi.org/10.1134/S1061830907010093

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