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# Evaluation of decay times in coupled spaces: Bayesian decay model selection

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This paper applies Bayesian probability theory to determination of the decay times in coupled spaces. A previous paper [N. Xiang and P. M. Goggans, J. Acoust. Soc. Am. 110, 1415–1424 (2001)] discussed determination of the decay times in coupled spaces from Schroeder’s decay functions using Bayesian parameter estimation. To this end, the previous paper described the extension of an existing decay model [N. Xiang, J. Acoust. Soc. Am. 98, 2112–2121 (1995)] to incorporate one or more decay modes for use with Bayesian inference. Bayesian decay time estimation will obtain reasonable results only when it employs an appropriate decay model with the correct number of decay modes. However, in architectural acoustics practice, the number of decay modes may not be known when evaluating Schroeder’s decay functions. The present paper continues the endeavor of the previous paper to apply Bayesian probability inference for comparison and selection of an appropriate decay model based upon measured data. Following a summary of Bayesian model comparison and selection, it discusses selection of a decay model in terms of experimentally measured Schroeder’s decay functions. The present paper, along with the Bayesian decay time estimation described previously, suggests that Bayesian probability inference presents a suitable approach to the evaluation of decay times in coupled spaces.

Acoustical Society of America (ASA)

Title: Evaluation of decay times in coupled spaces: Bayesian decay model selection

Description:

This paper applies Bayesian probability theory to determination of the decay times in coupled spaces.

A previous paper [N.

Xiang and P.

M.

Goggans, J.

Acoust.

Soc.

Am.

110, 1415–1424 (2001)] discussed determination of the decay times in coupled spaces from Schroeder’s decay functions using Bayesian parameter estimation.

To this end, the previous paper described the extension of an existing decay model [N.

Xiang, J.

Acoust.

Soc.

Am.

98, 2112–2121 (1995)] to incorporate one or more decay modes for use with Bayesian inference.

Bayesian decay time estimation will obtain reasonable results only when it employs an appropriate decay model with the correct number of decay modes.

However, in architectural acoustics practice, the number of decay modes may not be known when evaluating Schroeder’s decay functions.

The present paper continues the endeavor of the previous paper to apply Bayesian probability inference for comparison and selection of an appropriate decay model based upon measured data.

Following a summary of Bayesian model comparison and selection, it discusses selection of a decay model in terms of experimentally measured Schroeder’s decay functions.

The present paper, along with the Bayesian decay time estimation described previously, suggests that Bayesian probability inference presents a suitable approach to the evaluation of decay times in coupled spaces.

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