Titze Ingo R, Palaparthi Anil, Smith Simeon L
National Center for Voice and Speech, 136 South Main Street, Suite 320, Salt Lake City, Utah 84101.
J Acoust Soc Am. 2014 Dec;136(6):3249. doi: 10.1121/1.4900563.
Time-domain computer simulation of sound production in airways is a widely used tool, both for research and synthetic speech production technology. Speed of computation is generally the rationale for one-dimensional approaches to sound propagation and radiation. Transmission line and wave-reflection (scattering) algorithms are used to produce formant frequencies and bandwidths for arbitrarily shaped airways. Some benchmark graphs and tables are provided for formant frequencies and bandwidth calculations based on specific mathematical terms in the one-dimensional Navier-Stokes equation. Some rules are provided here for temporal and spatial discretization in terms of desired accuracy and stability of the solution. Kinetic losses, which have been difficult to quantify in frequency-domain simulations, are quantified here on the basis of the measurements of Scherer, Torkaman, Kucinschi, and Afjeh [(2010). J. Acoust. Soc. Am. 128(2), 828-838].
气道中声音产生的时域计算机模拟是一种广泛应用于研究和合成语音生成技术的工具。计算速度通常是采用一维方法进行声音传播和辐射研究的依据。传输线和波反射(散射)算法用于生成任意形状气道的共振峰频率和带宽。基于一维纳维-斯托克斯方程中的特定数学术语,提供了一些用于共振峰频率和带宽计算的基准图表。这里给出了一些关于时间和空间离散化的规则,以确保所需的解的精度和稳定性。在频域模拟中难以量化的动能损失,在此根据谢勒、托尔卡曼、库钦斯基和阿夫杰赫(2010年,《美国声学学会杂志》128(2),828 - 838)的测量结果进行了量化。