Purpose <p>Near-field acoustic holography (NAH) has emerged as a significant research focus, driving the advancement of algorithms such as Spatial Fourier Transform (SFT), Boundary Element Methods (BEM), Equivalent Sources Model (ESM), and Statistically Optimal Nearfield Acoustic Holography (SONAH). However, experimental evaluations comparing reconstruction accuracy, particularly across full octave bands and sound intensity fields, remain limited.</p> Methods <p>This study experimentally assessed the SFT and SONAH algorithms by reconstructing sound intensity distributions based on measurements performed in a fully anechoic chamber. Tests were conducted across multiple octave bands while systematically varying measurement distances, array apertures, and microphone spacings. The reconstructed fields were quantitatively compared to directly measured reference fields.</p> Results <p>Experimental findings reveal that SFT reconstruction accuracy is inadequate at low frequencies but improves with increasing frequency. In contrast, SONAH demonstrates relatively stable reconstruction accuracy across all octave bands and exhibits reduced sensitivity to variations in aperture sizes and microphone spacings. However, SONAH's accuracy diminishes at excessively large measurement distances, and it requires longer computation times compared to SFT.</p> Conclusion <p>The SONAH algorithm shows superior overall accuracy and robustness compared to SFT, making it a more practical and effective method for experimental near-field acoustic holography, especially in the reconstruction of complex sound fields and intensity-based analysis.</p>

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Comparative Accuracy Analyses of Reconstruction Parameters of Near Field Acoustic Holography Methods Based on Spatial Fourier Transform and Statistical Optimization

  • Yang Zhang,
  • Hongwei Wang,
  • Yiyang Wu,
  • Guangyao Zhang

摘要

Purpose

Near-field acoustic holography (NAH) has emerged as a significant research focus, driving the advancement of algorithms such as Spatial Fourier Transform (SFT), Boundary Element Methods (BEM), Equivalent Sources Model (ESM), and Statistically Optimal Nearfield Acoustic Holography (SONAH). However, experimental evaluations comparing reconstruction accuracy, particularly across full octave bands and sound intensity fields, remain limited.

Methods

This study experimentally assessed the SFT and SONAH algorithms by reconstructing sound intensity distributions based on measurements performed in a fully anechoic chamber. Tests were conducted across multiple octave bands while systematically varying measurement distances, array apertures, and microphone spacings. The reconstructed fields were quantitatively compared to directly measured reference fields.

Results

Experimental findings reveal that SFT reconstruction accuracy is inadequate at low frequencies but improves with increasing frequency. In contrast, SONAH demonstrates relatively stable reconstruction accuracy across all octave bands and exhibits reduced sensitivity to variations in aperture sizes and microphone spacings. However, SONAH's accuracy diminishes at excessively large measurement distances, and it requires longer computation times compared to SFT.

Conclusion

The SONAH algorithm shows superior overall accuracy and robustness compared to SFT, making it a more practical and effective method for experimental near-field acoustic holography, especially in the reconstruction of complex sound fields and intensity-based analysis.