A method for simulation of acoustical bores, useful in the context of sound synthesis by physical modeling of woodwind instruments, is presented. As with previously developed methods, such as digital waveguide modeling (DWM) [Smith, Comput. Music J. 16, pp 74-91 (1992)] and the multi convolution algorithm (MCA) [Martinez et al., J. Acoust. Soc. Am. 84, pp 1620-1627 (1988)], the approach is based on a one-dimensional model of wave propagation in the bore. Both the DWM method and the MCA explicitly compute the transmission and reflection of wave variables that represent actual traveling pressure waves. The method presented in this report, the wave digital modeling (WDM) method, avoids the typical limitations associated with these methods by using a more general definition of the wave variables. An efficient and spatially modular discrete-time model is constructed from the digital representations of elemental bore units such as cylindrical sections, conical sections, and toneholes. Frequency-dependent phenomena, such as boundary losses, are approximated with digital filters. The stability of a simulation of a complete acoustic bore is investigated empirically. Results of the simulation of a full clarinet show that a very good concordance with classic transmission-line theory is obtained.
展开▼
机译：提出了一种用于模拟声孔的方法，该方法可用于通过木管乐器的物理建模进行声音合成。与以前开发的方法一样，例如数字波导建模（DWM）[Smith，Comput。 Music J.16，第74-91页（1992）]和多重卷积算法（MCA）[Martinez等，J.Acoust。 Soc。上午。 84，pp 1620-1627（1988）]，该方法基于孔中波传播的一维模型。 DWM方法和MCA都明确计算了代表实际行进压力波的波变量的透射率和反射率。本报告中介绍的方法，即波浪数字建模（WDM）方法，通过使用更通用的波浪变量定义，避免了与这些方法相关的典型限制。利用基本的孔单元（例如圆柱截面，圆锥截面和音孔）的数字表示，可以构建有效的空间模块化离散时间模型。用数字滤波器可以估算出与频率有关的现象，例如边界损耗。经验性地研究了完整的声腔模拟的稳定性。一个完整的单簧管的模拟结果表明，它与经典的传输线理论非常吻合。
展开▼
