Stochastic reverberation model for uniform and non-diffuse acoustic fields

Roland Badeau 1, 2
2 S2A - Signal, Statistique et Apprentissage
LTCI - Laboratoire Traitement et Communication de l'Information
Abstract : In a recent research report, we introduced a general stochastic reverberation model that aims to represent the statistical properties of reverberation in a broad variety of acoustic environments. A simplified version of this model, dedicated to the particular case of diffuse (i.e. uniform and isotropic) acoustic fields, omnidirectional sources and microphones, and constant attenuation w.r.t frequency, has been investigated both mathematically and experimentally in a recent research paper. We showed that this model provides a common mathematical framework that unifies several well-known results regarding the statistical properties of reverberation in the space, time and frequency domains. In this research report, we aim to extend this mathematical analysis to uniform and non-diffuse acoustic fields, and directive sources and microphones. We show that the predictions of the general stochastic model experimentally match the observations, based on both synthetic and real room impulse responses, measured in various acoustic environments.
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Submitted on : Monday, May 13, 2019 - 5:10:23 PM
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Roland Badeau. Stochastic reverberation model for uniform and non-diffuse acoustic fields. [Research Report] Télécom ParisTech. 2019. ⟨hal-02127799⟩

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