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Improving Time Resolution of Ultrasonic Signals with Frequency-Domain Sparse Blind Deconvolution (FSBD) Method

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Abstract

The improvement of time resolution is commonly concerned in ultrasonic testing, while the reference signal significantly influences the decoupling and interpretation of multiple overlapped signals. In this paper, the frequency-domain sparse blind deconvolution (FSBD) method is proposed to enhance the time resolution of ultrasonic signals without using any reference signal. The matching pursuit (MP) algorithm is introduced to remove noise for signal reconstruction. On this basis, homomorphic transformation is applied to the de-noised signal, and the l1 and l2 norm constraints based on sparsity are combined to construct a frequency-domain objective function for improving time resolution. The multilayer specimens and small defect were quantitatively detected using the FSBD method by experiments. The results demonstrate that the to-be-measured object with a size of half-wavelength can be identified by decoupling the multiple overlapped signals. Finally, the FSBD method is compared with minimum entropy deconvolution and homomorphic deconvolution. The relationship between the number of scattered/reflected echoes K and the regularization parameter μ is discussed to solve reasonably the regularization problem.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51905079, 52075078) and the Liaoning Revitalization Talents Program (Grant No. XLYC1902082).

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  1. NDT & E Laboratory, Dalian University of Technology, Dalian, 116024, China

    X. Sun, L. Lin & S. J. Jin

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  1. X. Sun
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Correspondence to S. J. Jin.

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Sun, X., Lin, L. & Jin, S.J. Improving Time Resolution of Ultrasonic Signals with Frequency-Domain Sparse Blind Deconvolution (FSBD) Method. J Nondestruct Eval 41, 37 (2022). https://doi.org/10.1007/s10921-022-00869-y

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