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Ultrasonography is an imaging technique that uses high-frequency sound waves to visualize the body's internal structures. It is a non-invasive and safe procedure that does not involve the use of ionizing radiation, making it widely used in various medical fields. Ultrasonography is used to study heart function, blood flow in the neck or extremities, certain conditions such as gallbladder disease, and fetal growth and development.
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Updated: Jun 4, 2025

Wideband Optical Detector of Ultrasound for Medical Imaging Applications
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Fractional Fourier Transform-Based Signal Separation for Ultrasonic Guided Wave Inspection of Plates.

Chengxiang Peng1, Paul Annus2, Marek Rist2

  • 1Department of Civil Engineering and Architecture, Tallinn University of Technology, 19086 Tallinn, Estonia.

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|December 17, 2024
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Summary

The Fractional Fourier Transform (FrFT) effectively separates overlapping ultrasonic signals in guided wave inspections. This method enhances inspection efficiency by reducing data acquisition time with array transducers.

Keywords:
array transducerfractional Fourier transformsignal separationtime efficiencyultrasonic guided waves

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Area of Science:

  • Materials Science and Engineering
  • Non-Destructive Testing (NDT)
  • Signal Processing

Background:

  • Defect detection in plates is critical for industrial safety.
  • Ultrasonic bulk waves provide limited coverage; guided waves offer rapid, large-area inspection.
  • Array transducers improve coverage but conventional methods face time-delay limitations and signal overlap issues.

Purpose of the Study:

  • To investigate the application of the Fractional Fourier Transform (FrFT) for separating overlapping ultrasonic signals.
  • To enhance time efficiency in guided wave inspections using array transducers by optimizing data acquisition.

Main Methods:

  • Utilized the Fractional Fourier Transform (FrFT) for signal separation, exploiting its ability to distinguish signals overlapping in time and frequency.
  • Conducted numerical simulations and experimental validation of FrFT performance in guided wave inspections with array transducers.
  • Analyzed the impact of time delays, signal bandwidth (chirp signals), and signal dispersion on separation effectiveness.

Main Results:

  • Reduced time delays between array elements exacerbated signal separation challenges.
  • Employing chirp signals with broader bandwidth significantly improved separation for fixed-duration signals.
  • Signal dispersion had a minimal impact on the effectiveness of FrFT-based separation.

Conclusions:

  • The Fractional Fourier Transform (FrFT) is a powerful tool for effectively separating overlapping ultrasonic signals.
  • FrFT application enhances time efficiency in guided wave inspections utilizing array transducers.
  • This technique addresses limitations of conventional frequency and time-domain filtering methods for complex signal overlaps.