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On time delay interpolation for improved acoustic reflector localization.

Hannes Rosseel1, Toon van Waterschoot1

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Accurate acoustic reflector localization uses time delay estimation (TDE) interpolation. Sinc and Whittaker-Shannon interpolation methods significantly improve subsample TDE accuracy, outperforming others in simulations and real-world tests.

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Area of Science:

  • Acoustics
  • Signal Processing
  • Computational Physics

Background:

  • Acoustic reflector localization is crucial for applications like room acoustics and sound source localization.
  • Traditional time delay estimation (TDE) methods lack the necessary time resolution for precise localization.
  • Subsample TDE accuracy is required, leading to the development of various interpolation techniques.

Purpose of the Study:

  • To comprehensively study time delay interpolation for achieving subsample accuracy in acoustic reflector localization.
  • To derive and evaluate the Whittaker-Shannon interpolation formula in the context of short-time windowed TDE.
  • To compare the performance of sinc and Whittaker-Shannon interpolation against existing methods.

Main Methods:

  • Derivation of the Whittaker-Shannon interpolation formula from sinc interpolation for short-time windowed TDE.
  • Simulations to evaluate time delay error and positional error for critically sampled and band-limited reflections.
  • Performance evaluation using real-world measurements from the MYRiAD dataset.

Main Results:

  • Sinc and Whittaker-Shannon interpolation methods demonstrated superior performance compared to existing techniques.
  • These methods achieved lower time delay error and positional error in simulations.
  • Consistent and reliable performance was observed in real-world acoustic environments across various configurations.

Conclusions:

  • Sinc and Whittaker-Shannon interpolation significantly enhance subsample TDE accuracy for acoustic reflector localization.
  • These advanced interpolation techniques improve the precision of localization systems in reverberant conditions.
  • The findings are vital for advancing applications in room acoustics, sound source localization, and acoustic scene analysis.