Graduate Program in Architectural Acoustics, School of Architecture, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.
J Acoust Soc Am. 2011 Feb;129(2):741-52. doi: 10.1121/1.3518773.
Due to recent developments in concert hall design, there is an increasing interest in the analysis of sound energy decays consisting of multiple exponential decay rates. It has been considered challenging to estimate parameters associated with double-rate (slope) decay characteristics, and even more challenging when the coupled-volume systems contain more than two decay processes. To meet the need of characterizing energy decays of multiple decay processes, this work investigates coupled-volume systems using acoustic scale-models of three coupled rooms. Two Bayesian formulations are compared using the experimentally measured sound energy decay data. A fully parameterized Bayesian formulation has been found to be capable of characterization of multiple-slope decays beyond the single-slope and double-slope energy decays. Within the Bayesian framework using this fully parameterized formulation, an in-depth analysis of likelihood distributions over multiple-dimensional decay parameter space motivates the use of Bayesian information criterion, an efficient approach to solving Bayesian model selection problems that are suitable for estimating the number of exponential decays. The analysis methods are then applied to a geometric-acoustics simulation of a conceptual concert hall. Sound energy decays more complicated than single-slope and double-slope nature, such as triple-slope decays have been identified and characterized.
由于音乐厅设计的最新发展，人们对分析由多个指数衰减率组成的声能衰减越来越感兴趣。人们认为，估计与双速率（斜率）衰减特性相关的参数具有挑战性，而当耦合体积系统包含两个以上衰减过程时，这一挑战更大。为了满足对多个衰减过程的能量衰减进行特征描述的需求，这项工作使用三个耦合房间的声学比例模型研究了耦合体积系统。使用实验测量的声能衰减数据比较了两种贝叶斯公式。已经发现，完全参数化的贝叶斯公式能够描述单斜率和双斜率能量衰减之外的多斜率衰减。在使用这种完全参数化公式的贝叶斯框架内，对多维衰减参数空间的似然分布进行深入分析，促使使用贝叶斯信息准则，这是一种解决贝叶斯模型选择问题的有效方法，非常适合估计指数衰减的数量。然后，该分析方法被应用于概念性音乐厅的几何声学模拟。已经识别和描述了比单斜率和双斜率性质更复杂的声能衰减，例如三斜率衰减。
