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Low frequency sound spatial encoding within an enclosure using spherical microphone arrays.

Yan Wang1, Kean Chen1

  • 1Department of Environmental Engineering, School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, Shaanxi, China 710072.

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|August 1, 2016
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Summary
This summary is machine-generated.

This study optimizes spatial encoding for sound fields in enclosures at low frequencies. A spherical microphone array with cardioid microphones is found to be optimal for accurately representing cylindrical cavity modes.

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Area of Science:

  • Acoustics
  • Signal Processing
  • Numerical Methods

Background:

  • Interior sound fields are typically described using Fourier-Bessel expansions in spherical coordinates.
  • Spatial encoding, using microphone arrays to determine expansion coefficients, has primarily been studied in free or diffuse fields (plane wave models).
  • Low-frequency spatial encoding in enclosures presents challenges due to array configuration influence and the need for acoustic mode-based models over plane wave models.

Purpose of the Study:

  • To address the challenges of low-frequency spatial encoding within enclosures.
  • To investigate the impact of different array configurations on spatial encoding.
  • To explore the representation of cylindrical cavity modes using spatial encoding techniques.

Main Methods:

  • Comparison of various microphone array configurations for spatial encoding at low frequencies.
  • Investigation of spatial encoding applied to cylindrical cavity modes.
  • Analysis of expansion coefficient representation and sound field reproduction accuracy.

Main Results:

  • A spherical array with cardioid microphones demonstrated optimal performance for spatial encoding when kr<1.
  • Cylindrical cavity modes can be effectively represented by a sparse subset of expansion coefficients.
  • Accurate sound field reproduction was achieved even outside the spherical valid region.

Conclusions:

  • The study presents an effective alternative method for describing cylindrical cavity modes.
  • The proposed spatial encoding approach is efficient and practical for implementation.
  • Optimized array configurations significantly improve low-frequency sound field characterization in enclosures.