Department of Energetic, Nuclear and Environmental Control Engineering (DIENCA), University of Bologna, Viale Risorgimento, 2, 40136, Bologna, Italy.
J Acoust Soc Am. 2011 Oct;130(4):1954-61. doi: 10.1121/1.3624818.
The "effective duration" of the autocorrelation function (ACF), τ(e), is an important factor in architectural and musical acoustics. For a general application, an accurate evaluation of τ(e) is relevant. This paper is focused to the methods for the extraction of τ(e) values from the ACF. Various methods have been proposed in literature for the extraction of the τ(e) from a given signal, but these methods are not unambiguously defined or may not work properly in case of particular signals. Therefore, the general use of these methods may sometimes give rise to questionable results. In the present work, the methods existing in literature for extracting τ(e) are analyzed, their advantages and drawbacks are summarized, and finally an alternative method is proposed. The proposed algorithm is compared to those found in previous literature, applying them on the same sound signals (classic literature references and other ones publicly available on the Internet). It is shown that the results obtained with the proposed method are consistent with the results of the previous literature; moreover the proposed method may overcome some of the limitations of the existing methods.
自相关函数 (ACF) 的“有效持续时间”τ(e)是建筑和音乐声学中的一个重要因素。对于一般应用，τ(e)的准确评估是相关的。本文重点介绍了从 ACF 中提取 τ(e)值的方法。文献中提出了各种从给定信号中提取 τ(e)的方法，但这些方法的定义不明确，或者在特定信号的情况下可能无法正常工作。因此，这些方法的一般使用有时可能会产生有问题的结果。在本工作中，分析了文献中存在的用于提取 τ(e)的方法，总结了它们的优点和缺点，最后提出了一种替代方法。将所提出的算法与以前文献中发现的算法进行了比较，将它们应用于相同的声音信号（经典文献参考资料和其他在互联网上公开的资料）。结果表明，所提出方法得到的结果与以前文献中的结果一致；此外，所提出的方法可能克服了现有方法的一些局限性。
