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arXiv 1302.4382cs.SDphysics.class-ph
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椭圆声道阻抗的双传声器传递函数有限元计算

Finite element computation of elliptical vocal tract impedances using the two-microphone transfer function method

Universitat Ramon Llull(拉蒙·柳利大学)

Marc Arnela, Oriol Guasch

摘要:

将实验双麦克风传递函数法(TMTF)应用于计算椭圆形截面三维声道的辐射阻抗和输入阻抗的数值框架中。在其最简单的版本中,TMTF方法仅需要测量阻抗管道中两点处的声压以及相应传递函数的后处理。然而,在数值环境中使用TMTF方法时,需要考虑一些因素,这构成了本文的主要目标。特别是,包括在阻抗管壁吸收,以避免冗长的数值模拟的重要性进行了讨论和分析复杂的轴向波数为椭圆形管道推导出用于此目的。它还示出了如何的平面波的限制的TMTF方法可以在一定程度上规避通过适当的位置的虚拟麦克风,从而扩展该方法的有效性的频率范围。在此基础上,讨论了虚拟传声器间距的奇异性。数值例子包括元音/a/,/i/和/u/的辐射阻抗和元音/a/的输入阻抗的计算,对于圆形和椭圆形横截面的简化声道。

英文摘要:

The experimental two-microphone transfer function method (TMTF) is adapted to the numerical framework to compute the radiation and input impedances of three-dimensional vocal tracts of elliptical cross section. In its simplest version, the TMTF method only requires measuring the acoustic pressure at two points in an impedance duct and the postprocessing of the corresponding transfer function. However, some considerations are to be taken into account when using the TMTF method in the numerical context, which constitute the main objective of this paper. In particular, the importance of including absorption at the impedance duct walls to avoid lengthy numerical simulations is discussed and analytical complex axial wave numbers for elliptical ducts are derived for this purpose. It is also shown how the plane wave restriction of the TMTF method can be circumvented to some extent by appropriate location of the virtual microphones, thus extending the method frequency range of validity. Virtual microphone spacing is also discussed on the basis of the so called singularity factor. Numerical examples include the computation of the radiation impedance of vowels /a/, /i/ and /u/ and the input impedance of vowel /a/, for simplified vocal tracts of circular and elliptical cross sections.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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