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Interaural cross correlation in a sound field represented by spherical harmonics.

Boaz Rafaely1, Amir Avni

  • 1Department of Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel. br@ee.bgu.ac.il

The Journal of the Acoustical Society of America
|February 9, 2010
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Summary

This study introduces a new method to calculate the interaural cross-correlation (IACC) using spherical microphone arrays. It analyzes how limited data from these arrays affects spatial impression accuracy in concert halls.

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Area of Science:

  • Acoustics
  • Psychoacoustics
  • Signal Processing

Background:

  • Spatial impression is a key acoustic characteristic of concert halls.
  • The interaural cross-correlation (IACC) coefficient is a standard objective measure for spatial impression.
  • Spherical microphone arrays are increasingly used in acoustics and music recording.

Purpose of the Study:

  • To develop a theoretical framework for computing IACC using spherical-harmonics representations from spherical microphone array data.
  • To investigate the impact of limited spherical-harmonics order on IACC approximation accuracy.
  • To assess the influence of incomplete spatial information on the perception of sound fields.

Main Methods:

  • Formulating IACC computation using spherical-harmonics representations of sound fields measured by microphone arrays.
  • Utilizing spherical-harmonics representations of head-related transfer functions (HRTFs) from databases.
  • Analyzing the accuracy of IACC approximation with finite spherical-harmonics orders using simulated and measured data.

Main Results:

  • A theoretical method for calculating IACC from spherical microphone array data was established.
  • The study quantified the effect of limited spherical-harmonics order on IACC approximation accuracy.
  • Simulated and measured data confirmed the findings regarding the impact of data limitations.

Conclusions:

  • The proposed method enables IACC computation from spherical microphone array measurements.
  • Understanding the effect of limited spatial information is crucial for accurate IACC approximation.
  • This research provides a foundation for further studies on spatial sound perception with incomplete data.