Xiang Ning, Goggans Paul M, Jasa Tomsilav, Kleiner Mendel
School of Architecture and Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.
J Acoust Soc Am. 2005 Jun;117(6):3707-15. doi: 10.1121/1.1903845.
This paper discusses quantitative tools to evaluate the reliability of "decay time estimates" and inter-relationships between multiple decay times for estimates made within a Bayesian framework. Previous works [Xiang and Goggans, J. Acoust. Soc. Am. 110, 1415-1424 (2001); 113, 2685-2697 (2003)] have applied Bayesian framework to cope with the demanding tasks in estimating multiple decay times from Schroeder decay functions measured in acoustically coupled spaces. A parametric model of Schroeder decay function [Xiang, J. Acoust. Soc. Am. 98, 2112-2121 (1995)] has been used for the Bayesian model-based analysis. The relevance of this work is that architectural acousticians need to know how well determined are the estimated decay times calculated within Bayesian framework using Schroeder decay function data. This paper will first address the estimation of global variance of the residual errors between the Schroeder function data and its model. Moreover, this paper discusses how the "landscape" shape of the posterior probability density function over the decay parameter space influences the individual decay time estimates, their associated variances, and their inter-relationships. This paper uses experimental results from measured room impulse responses in real halls to describe a model-based sampling method for an efficient estimation of decay times, and their individual variances. These parameters along with decay times are relevant decay parameters for evaluation and understanding of acoustically coupled spaces.
本文讨论了用于评估“衰减时间估计值”可靠性的定量工具，以及在贝叶斯框架内进行估计时多个衰减时间之间的相互关系。先前的研究[Xiang和Goggans，《美国声学学会杂志》110, 1415 - 1424 (2001); 113, 2685 - 2697 (2003)]已应用贝叶斯框架来处理从声学耦合空间中测量的施罗德衰减函数估计多个衰减时间这一艰巨任务。施罗德衰减函数的参数模型[Xiang，《美国声学学会杂志》98, 2112 - 2121 (1995)]已用于基于贝叶斯模型的分析。这项工作的意义在于，建筑声学专家需要了解在贝叶斯框架内使用施罗德衰减函数数据计算出的估计衰减时间的确定程度。本文将首先探讨施罗德函数数据与其模型之间残余误差的全局方差估计。此外，本文还讨论了衰减参数空间上后验概率密度函数的“景观”形状如何影响各个衰减时间估计值、它们的相关方差以及它们之间的相互关系。本文使用在实际大厅中测量的房间脉冲响应的实验结果，来描述一种基于模型的采样方法，用于高效估计衰减时间及其各自的方差。这些参数连同衰减时间是评估和理解声学耦合空间的相关衰减参数。
