A model for the temporal evolution of the spatial coherence in decaying reverberant sound fields
This work addresses the need for accurate spatial coherence models in acoustics for applications like audio signal processing, but it is incremental as it builds on existing isotropic models.
The authors tackled the problem of modeling spatial coherence in decaying reverberant sound fields, which are not perfectly isotropic, by developing a model for rectangular rooms that depends on room dimensions, surface reflectivity, and sensor orientation, and includes diffuse and cylindrically isotropic models as special cases.
Reverberant sound fields are often modeled as isotropic. However, it has been observed that spatial properties change during the decay of the sound field energy, due to non-isotropic attenuation in non-ideal rooms. In this letter, a model for the spatial coherence between two sensors in a decaying reverberant sound field is developed for rectangular rooms. The modeled coherence function depends on room dimensions, surface reflectivity and orientation of the sensor pair, but is independent of the position of source and sensors in the room. The model includes the spherically isotropic (diffuse) and cylindrically isotropic sound field models as special cases.