Guided Waves Direction of Arrival Estimation Based on Calibrated Multiresolution Wavelet Analysis

  • Michelangelo Maria MalatestaEmail author
  • Nicola Testoni
  • Alessandro Marzani
  • Luca De Marchi
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 627)


Damages produced by impacts can compromise structural integrity. Precise localization of the damage is fundamental to improve structural monitoring systems accuracy and reliability. A method based on the estimation of elastic waves Direction of Arrival (DoA) in plate-like structures by means of a DFT-Based Continuous Wavelet Transform (CWT) decomposition is proposed. To tackle the dispersive behaviour of guided waves, simultaneous multiband signal filtering in the Wavelet domain is performed. Subsequently, the cross-correlation method is applied to each computed scale to evaluate the Difference Time of Arrival (DToA). Finally, DoA is extracted applying an averaging procedure across scales to the arc-tangent of the ratio between the DToA among specific active areas of the sensors. This approach has been experimentally validated through measurements on an aluminum plate, after a calibration stage was performed.


Guided waves Localization algorithm Lamb waves Continuous wavelet transform PZT transducers Calibration 



This research has been funded by INAIL within the framework BRIC/2016 ID = 15, SMARTBENCH project.


  1. 1.
    Ebrahimkhanlou A, Dubuc B, Salamone S (2016) Damage localization in metallic plate structures using edge-reflected lamb waves. Smart Mater Struct 25(8):085035ADSCrossRefGoogle Scholar
  2. 2.
    De Marchi L, Marzani A, Speciale N, Viola E (2011) A passive monitoring technique based on dispersion compensation to locate impacts in plate-like structures. Smart Mater Struct 20(3):035021ADSCrossRefGoogle Scholar
  3. 3.
    Kundu T, Das S, Jata K (2009) Detection of the point of impact on a stiffened plate by the acoustic emission technique. Smart Mater Struct 18(3):035006Google Scholar
  4. 4.
    Garofalo A, Testoni N, Marzani A, De Marchi L (2016) Wavelet-based Lamb waves direction of arrival estimation in passive monitoring techniques. In: IEEE international ultrasonics symposium (IUS). IEEE Press, Tours (FR), pp 1–4Google Scholar
  5. 5.
    Garofalo A, Testoni N, Marzani A, De Marchi L (2017) Multiresolution wavelet analysis to estimate Lamb waves direction of arrival in passive monitoring techniques. In: IEEE workshop on environmental, energy, and structural monitoring systems (EESMS). IEEE Press, Milan (IT), pp 1–6Google Scholar
  6. 6.
    Kundu T, Nakatani H, Takeda N (2012) Acoustic source localization in anisotropic plates. Ultrasonics 52(6):740–746CrossRefGoogle Scholar
  7. 7.
    Marsdem M (1974) Cubic spline interpolation of continuous functions. J Approx Theory 10:103–111MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Michelangelo Maria Malatesta
    • 1
    Email author
  • Nicola Testoni
    • 1
  • Alessandro Marzani
    • 1
  • Luca De Marchi
    • 1
  1. 1.Adevanced Research Center on Electronic Systems (ARCES)BolognaItaly

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