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Area of Science:

  • Acoustics
  • Signal Processing
  • Spatial Audio

Background:

  • Ambisonics utilizes spherical harmonics for spatial sound field capture and reproduction.
  • Existing ambisonics frameworks are primarily designed for spherical microphone arrays.

Purpose of the Study:

  • To propose spheroidal ambisonics, a generalization of ambisonics for spheroidal microphone arrays.
  • To ensure compatibility between spheroidal and spherical ambisonics.
  • To enhance spatial sound field recording accuracy.

Main Methods:

  • Derivation of analytical conversions between spheroidal and spherical ambisonics.
  • Implementation of spheroidal ambisonics encoding and transcoding.
  • Numerical experiments for verification of the proposed methods.

Main Results:

  • Successful analytical conversion from spheroidal to spherical ambisonics.
  • Verification of encoding and transcoding processes for spatial sound field recording.
  • Demonstration of an extended zone of accurate sound field reconstruction along the prolate spheroidal array's long axis.

Conclusions:

  • Spheroidal ambisonics provides a viable framework for spatial audio capture with spheroidal microphone arrays.
  • The derived conversions ensure seamless integration with the current ambisonics ecosystem.
  • This generalization extends the applicability and accuracy of spatial audio technologies.