Technical Note: Remark on the Formal Identity of Two Statistical-Acoustics Models of Coupled Rooms

Author:

Summers Jason E.1

Affiliation:

1. Program in Architectural Acoustics, Rensselaer Polytechnic Institute, Troy, NY 12180 U.S.A.

Abstract

Confusion can result because the two best-known statistical-acoustics models of energy decay in coupled rooms give variant predictions, despite being derived from identical base assumptions. It is shown here that the model given by Cremer and Müller is formally identical to the model given by Kuttruff and that differences between the models arise only if Cremer and Müller's approximate solution method is followed. An exact formulation of Cremer and Müller's model is given explicitly and its predictions are shown to agree with those of Kuttruff's model.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Acoustics and Ultrasonics,Building and Construction

Reference7 articles.

1. VI. Reverberation equations for two adjacent rooms connected by an incompletely soundproof partition

2. Cremer L., and Müller H. A. (1982) Principles and Applications of Room Acoustics, vol. 1, trans. Schultz T. J., Applied Science Publishers, New York, pp. 261–283.

3. Kuttruff H. (2000) Room Acoustics, 4th Ed., Spon Press, New York, pp. 142–145.

4. Boyce W. E., and DiPrima R. C. (1997) Elementary Differential Equations and Boundary Value Problems, 6th Ed., John Wiley & Sons, New York, Chap. 7, pp. 335–413.

5. Statistical-acoustics models of energy decay in systems of coupled rooms and their relation to geometrical acoustics

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