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Main Authors: Chen, Ziqi, Xiang, Ning
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.11020
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author Chen, Ziqi
Xiang, Ning
author_facet Chen, Ziqi
Xiang, Ning
contents This study discusses acoustic dissipation, which contributes to inaccuracies in impedance tube measurements. To improve the accuracy of these measurements, this paper introduces a transfer function model that integrates diverse dissipation prediction models. Bayesian inference is used to estimate the important parameters included in these models, describing dissipation originating from various mechanisms, sound speed, and microphone positions. By using experimental measurements and considering a hypothetical air layer in front of a rigid termination as the material under test, Bayesian parameter estimation allows a substantial enhancement in characterization accuracy by incorporating the dissipation and sound speed estimates. This approach effectively minimizes residual absorption coefficients attributed to both boundary-layer effects and air medium relaxation. Incorporation of dissipation models leads to a substantial reduction (to 1%) in residual absorption coefficients. Moreover, the use of accurately estimated parameters further enhances the accuracy of actual tube measurements of materials using the two-microphone transfer function method.
format Preprint
id arxiv_https___arxiv_org_abs_2401_11020
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bayesian estimation of dissipation and sound speed in tube measurements using a transfer-function model
Chen, Ziqi
Xiang, Ning
Classical Physics
This study discusses acoustic dissipation, which contributes to inaccuracies in impedance tube measurements. To improve the accuracy of these measurements, this paper introduces a transfer function model that integrates diverse dissipation prediction models. Bayesian inference is used to estimate the important parameters included in these models, describing dissipation originating from various mechanisms, sound speed, and microphone positions. By using experimental measurements and considering a hypothetical air layer in front of a rigid termination as the material under test, Bayesian parameter estimation allows a substantial enhancement in characterization accuracy by incorporating the dissipation and sound speed estimates. This approach effectively minimizes residual absorption coefficients attributed to both boundary-layer effects and air medium relaxation. Incorporation of dissipation models leads to a substantial reduction (to 1%) in residual absorption coefficients. Moreover, the use of accurately estimated parameters further enhances the accuracy of actual tube measurements of materials using the two-microphone transfer function method.
title Bayesian estimation of dissipation and sound speed in tube measurements using a transfer-function model
topic Classical Physics
url https://arxiv.org/abs/2401.11020