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Related Concept Videos

Aliasing01:18

Aliasing

Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...

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Related Experiment Video

Updated: May 18, 2026

Three-dimensional Optical-resolution Photoacoustic Microscopy
08:31

Three-dimensional Optical-resolution Photoacoustic Microscopy

Published on: May 3, 2011

Near-field acoustic holography using sparse regularization and compressive sampling principles.

Gilles Chardon1, Laurent Daudet, Antoine Peillot

  • 1Institut Langevin, ESPCI ParisTech, Univ. Paris Diderot, UPMC Univ Paris 06, CNRS UMR 7587, 10 rue Vauquelin, F-75005 Paris, France. gilles.chardon@espci.fr

The Journal of the Acoustical Society of America
|September 18, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces novel sparsity-based regularization for near-field acoustic holography (NAH) to identify vibrating sources. These methods improve accuracy, especially with velocity field discontinuities, and reduce required measurements using compressive sampling.

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Area of Science:

  • Acoustics
  • Vibration Analysis
  • Signal Processing

Background:

  • Near-field acoustic holography (NAH) faces challenges in inverse problem regularization for source identification.
  • Standard techniques struggle with velocity field discontinuities at boundaries.

Purpose of the Study:

  • To develop alternative regularization schemes for NAH using sparsity.
  • To leverage compressive sampling for reduced measurements in NAH.
  • To compare sparsity-based methods with Tikhonov regularization.

Main Methods:

  • Developing regularization schemes based on the sparsity of normal velocity in a designed basis.
  • Utilizing compressive sampling with random microphone arrays.
  • Numerical and experimental validation on two plate geometries.

Main Results:

  • Sparsity-based regularization effectively handles velocity field discontinuities.
  • Reduced number of measurements required through compressive sampling.
  • Demonstrated tractability of the optimization problem with standard software.

Conclusions:

  • Sparsity-based regularization offers an advantageous alternative to Tikhonov for NAH.
  • The proposed framework enhances source identification accuracy and measurement efficiency.
  • Further research can explore broader applications of these techniques.