This work presents an analysis of the effect of some uncertainties encountered when measuring absorption or scattering coefficients in the reverberation chamber according to International Organization for Standardization/American Society for Testing and Materials standards. This especially relates to the uncertainty due to spatial fluctuations of the sound field. By analyzing the mathematical definition of the respective coefficient, a relationship between the properties of the chamber and the test specimen and the uncertainty in the measured quantity is determined and analyzed. The validation of the established equations is presented through comparisons with measurement data. This study analytically explains the main sources of error and provides a method to obtain the product of the necessary minimum number of measurement positions and the band center frequency to achieve a given maximum uncertainty in the desired quantity. It is shown that this number depends on the ratio of room volume to sample surface area and the reverberation time of the empty chamber.
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January 2015
January 01 2015
Uncertainty analysis of standardized measurements of random-incidence absorption and scattering coefficients
Markus Müller-Trapet;
Markus Müller-Trapet
a)
Institute of Technical Acoustics,
RWTH Aachen University
, Kopernikusstrasse 5, 52074 Aachen, Germany
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Michael Vorländer
Michael Vorländer
Institute of Technical Acoustics,
RWTH Aachen University
, Kopernikusstrasse 5, 52074 Aachen, Germany
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a)
Author to whom correspondence should be addressed. Electronic mail: mmt@akustik.rwth-aachen.de
J. Acoust. Soc. Am. 137, 63–74 (2015)
Article history
Received:
February 22 2014
Accepted:
November 12 2014
Citation
Markus Müller-Trapet, Michael Vorländer; Uncertainty analysis of standardized measurements of random-incidence absorption and scattering coefficients. J. Acoust. Soc. Am. 1 January 2015; 137 (1): 63–74. https://doi.org/10.1121/1.4904512
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