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A framework for diffuseness evaluation using a tight-frame microphone-array configuration.

Akira Omoto1

  • 1Faculty of Design, Kyushu University, Fukuoka 815-8540, Japan.

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This study introduces a velocity-only covariance framework for consistent sound diffuseness estimation in various microphone arrays. A novel tight-frame array design offers isotropic sampling and robust performance for sound field measurement systems.

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Area of Science:

  • Acoustics and Signal Processing
  • Array Signal Processing
  • Sound Field Analysis

Background:

  • Diffuseness estimation is crucial for characterizing sound fields.
  • Existing methods often rely on complex preprocessing like mode whitening.
  • Practical microphone array geometries pose challenges for consistent analysis.

Purpose of the Study:

  • To extend theoretical diffuseness estimation to practical microphone arrays.
  • To develop a consistent framework for heterogeneous array geometries.
  • To evaluate a novel tight-frame array configuration.

Main Methods:

  • Formulation of a velocity-only covariance framework.
  • Modeling and comparison of A-format, rigid-sphere, and tight-frame arrays.
  • Simulation and measurement experiments for validation.

Main Results:

  • The velocity-only framework enables consistent diffuseness evaluation without mode whitening.
  • The proposed tight-frame array achieves isotropic sampling.
  • Tight-frame arrays reproduce diffuseness characteristics comparable to higher-order arrays with a compact structure.

Conclusions:

  • The study bridges theoretical diffuseness analysis with practical array implementations.
  • The velocity-only covariance framework is effective for heterogeneous array geometries.
  • The tight-frame array design is a promising solution for robust sound-field measurement.