Skip to main content
Log in

Pulsed eddy current signal denoising based on singular value decomposition

  • Published:
Journal of Shanghai Jiaotong University (Science) Aims and scope Submit manuscript

Abstract

The noise as an undesired phenomenon often appears in the pulsed eddy current testing (PECT) signal, and it is difficult to recognize the character of the testing signal. One of the most common noises presented in the PECT signal is the Gaussian noise, since it is caused by the testing environment. A new denoising approach based on singular value decomposition (SVD) is proposed in this paper to reduce the Gaussian noise of PECT signal. The approach first discusses the relationship between signal to noise ratio (SNR) and negentropy of PECT signal. Then the Hankel matrix of PECT signal is constructed for noise reduction, and the matrix is divided into noise subspace and signal subspace by a singular valve threshold. Based on the theory of negentropy, the optimal matrix dimension and threshold are chosen to improve the performance of denoising. The denoised signal Hankel matrix is reconstructed by the singular values of signal subspace, and the denoised signal is finally extracted from this matrix. Experiment is performed to verify the feasibility of the proposed approach, and the results indicate that the proposed approach can reduce the Gaussian noise of PECT signal more effectively compared with other existing approaches.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. XU Z Y, WU X J, LI J, et al. Assessment of wall thinning in insulated ferromagnetic pipes using the time to-peak of differential pulsed eddy current testing signals [J]. NDT & E International, 2012, 51: 24–29.

    Article  MathSciNet  Google Scholar 

  2. ALAMIN M, TIAN G Y, ANDREWS A, et al. Principal component analysis of pulsed eddy current response from corrosion in mild steel [J]. IEEE Sensors Journal, 2012, 12(8): 2548–2553.

    Article  Google Scholar 

  3. ANGANI C S, PARK D G, KIM C G, et al. The pulsed eddy current differential probe to detect a thickness variation in an insulated stainless steel [J]. Journal of Nondestructive Evaluation, 2010, 29: 248–252.

    Article  Google Scholar 

  4. CHENG W Y. Pulsed eddy current testing of carbon steel pipes wall-thinning through insulation and cladding [J]. Journal of Nondestructive Evaluation, 2012, 31: 215–224.

    Article  Google Scholar 

  5. MUKRIZ I, TIAN G Y, LI Y. 3D transient magnetic field mapping for angular slots in aluminium [J]. Insight, 2009, 51(1): 21–24.

    Article  Google Scholar 

  6. KIWA T, HAYASHI T, KAWASAKI Y, et al. Magnetic thickness gauge using a Fourier transformed eddy current technique [J]. NDT & E International, 2009, 42: 606–609.

    Article  Google Scholar 

  7. HE Y Z, LUO F L, PAN M C. Defect characterization based on pulsed eddy current imaging technique [J]. Sensors and Actuators A, 2010, 164: 1–7.

    Article  Google Scholar 

  8. HOSSEINI S, LAKIS A A. Application of time frequency analysis for automatic hidden corrosion detection in a multilayer aluminum structure using pulsed eddy current [J]. NDT & E International, 2012, 47: 70–79.

    Article  Google Scholar 

  9. THEODOULIDIS T, WANG H T, TIAN G Y. Extension of a model for eddy current inspection of cracks to pulsed excitations [J]. NDT & E International, 2012, 47: 144–149.

    Article  Google Scholar 

  10. FAN M B, HUANG P J, YE B, et al. Analytical modeling for transient probe response in pulsed eddy current testing [J]. NDT & E International, 2009, 42: 376–383.

    Article  Google Scholar 

  11. HUANG C, WU X J, XU Z Y, et al. Pulsed eddy current signal processing method for signal denoising in ferromagnetic plate testing [J]. NDT & E International, 2010, 43: 648–653.

    Article  Google Scholar 

  12. RENINGER P A, MARTELET G, DEPARIS J, et al. Singular value decomposition as a denoising tool for airborne time domain electromagnetic data [J]. Journal of Applied Geophysics, 2011, 75: 264–276.

    Article  Google Scholar 

  13. RAJWADE A, RANGARAJAN A, BANERJEE A. Image denoising using the higher order singular value decomposition [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2013, 35(4): 849–862.

    Article  Google Scholar 

  14. ZHAO X Z, YE B Y. Similarity of signal processing effect between Hankel matrix based SVD and wavelet transform and its mechanism analysis [J]. Mechanical Systems and Signal Processing, 2009, 23: 1062–1075.

    Article  Google Scholar 

  15. ZHANG L Z. Surface defects inspection for continuous casting slab by pulsed eddy current [D]. Chongqing, China: College of Material Science and Engineering, Chongqing University, 2011 (in Chinese).

    Google Scholar 

  16. HASSANPOUR H, ZEHTABIAN A, SADATI S J. Time domain signal enhancement based on an optimized singular vector denoising algorithm [J]. Digital Signal Processing, 2012, 22: 786–794.

    Article  MathSciNet  Google Scholar 

  17. SHIH Y T, CHIEN C S, CHUANG C Y. An adaptive parameterized block based singular value decomposition for image denoising and compression [J]. Applied Mathematics and Computation, 2012, 218: 10370–10385.

    Article  MathSciNet  MATH  Google Scholar 

  18. LAGO-FERNÁNDEZ L F, SÁNCHEZMONTA Ñ ÉS M, CORBACHO F. The effect of low number of points in clustering validation via the negentropy increment [J]. Neurocomputing, 2011, 74: 2657–2664.

    Article  Google Scholar 

  19. TIAN G Y, HE Y Z, ABEWALE I, et al. Research on spectral response of pulsed eddy current and NDE applications [J]. Sensors and Actuators A, 2013, 189: 313–320.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Changlong Wang  (王长龙).

Additional information

Foundation item: the Twelve-Five Pre-Research Project (No. 51325010602)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhu, H., Wang, C., Chen, H. et al. Pulsed eddy current signal denoising based on singular value decomposition. J. Shanghai Jiaotong Univ. (Sci.) 21, 121–128 (2016). https://doi.org/10.1007/s12204-015-1691-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12204-015-1691-y

Keywords

CLC number

Navigation