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Related Experiment Video

Updated: Aug 19, 2025

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
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A convolutional plane wave model for sound field reconstruction.

Manuel Hahmann1, Efren Fernandez-Grande1

  • 1Acoustic Technology Group, Department of Electrical and Photonics Engineering, Technical University of Denmark, Building 352, Ørsteds Plads, 2800 Kongens Lyngby, Denmark.

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Summary

This study introduces a new method for spatial sound field interpolation. It reconstructs complex sound fields using fewer measurements by analyzing local subdomains with self-similarity, improving accuracy and flexibility.

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Area of Science:

  • Acoustics
  • Signal Processing
  • Computational Physics

Background:

  • Spatial sound field interpolation requires accurate models for prediction.
  • Complex sound fields, large domains, and mixed wavefronts pose challenges for traditional models.
  • Existing partitioning methods need sufficient measurements per subdomain.

Purpose of the Study:

  • To develop a novel method for spatial sound field interpolation.
  • To address limitations of existing partitioning approaches in complex acoustic environments.
  • To enable accurate sound field reconstruction from reduced measurement sets.

Main Methods:

  • Formulated a convolutional model using plane wave filters.
  • Partitioned the global reconstruction into local subdomain problems.
  • Enforced self-similarity between neighboring partitions by smoothing coefficient magnitudes.
  • Solved the inverse problem using the alternating direction method of multipliers (ADMM).

Main Results:

  • The proposed method effectively interpolates spatial sound fields.
  • It retains the flexibility of local models for complex sound fields.
  • It preserves global structure, allowing reconstruction from fewer measurements.
  • Experiments with simulated and measured data validate the approach.

Conclusions:

  • The joint analysis of local subdomains with enforced self-similarity is a viable approach for sound field interpolation.
  • This method offers a balance between local adaptability and global structural preservation.
  • It advances the capability to reconstruct complex sound fields efficiently and accurately.