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Dispersive Radon transform.

Kailiang Xu1, Pascal Laugier1, Jean-Gabriel Minonzio1

  • 1Sorbonne Universités, UPMC Univ Paris 06, CNRS, INSERM, Laboratoire d'Imagerie Biomédicale (LIB), 15 rue de l'école de médecine, 75006, Paris, France.

The Journal of the Acoustical Society of America
|June 3, 2018
PubMed
Summary
This summary is machine-generated.

A new dispersive Radon transform (DRT) method enhances signal interpretation by concentrating dispersive wave modes. This technique improves mode separation, noise filtering, and media property estimation for ultrasonic guided waves.

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Area of Science:

  • Physics
  • Engineering
  • Materials Science

Background:

  • Wave packet dispersion limits signal interpretation but offers opportunities for media evaluation.
  • Existing methods struggle with complex dispersive signal analysis.

Purpose of the Study:

  • To introduce an original dispersive Radon transform (DRT) for analyzing dispersive wave phenomena.
  • To develop an efficient method for mode separation, noise filtering, and data reconstruction.

Main Methods:

  • Formulating the DRT as an integration transform along dispersion curves.
  • Utilizing sparse projection and least-square procedures for signal processing.
  • Implementing a high-resolution DRT via iterative reweighting inversion.

Main Results:

  • DRT concentrates multichannel dispersive signals into localized regions.
  • The method effectively separates modes, filters noise, and reconstructs missing data.
  • Application to ultrasonic guided waves in structures and bone specimens demonstrated significant interpretation enhancement.

Conclusions:

  • The proposed DRT offers a powerful tool for analyzing dispersive signals.
  • DRT facilitates inverse problems for estimating waveguide and media properties.
  • This method significantly enhances the interpretation of dispersive wave signals in various applications.