Abstract
A mathematical speech production model is considered that describes acoustic oscillation propagation in a vocal tract with mobile walls. The wave field function satisfies the Helmholtz equation with boundary conditions of the third kind (impedance type). The impedance mode corresponds to a threeparameter pendulum oscillation model. The experimental research demonstrates the nonlinear character of how the mobility of the vocal tract walls influence the spectral envelope of a speech signal.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. L. F. Helmholtz, Die Lehre von den Tonempfindungen als physiologische Grundlage fur die Theorie der Musik (Vieweg, Braunschweig, 1863).
G. Fant, Acoustic Theory of Speech Production (Mouton, The Hague, Netherlands; Nauka, Moscow, 1964).
L. R. Rabiner and R. B. Shafer, Digital Processing of Speech Signals (Prentice Hall, 1978; Radio I Svyaz’, Moscow, 1981).
N. Morgan and B. Gold, Speech and Audio Signal Processing: Processing and Perception of Speech and Music (Wiley, New York, 2000).
V. N. Sorokin, Speech Processes (Narodn. Obraz., Moscow, 2012) [in Russian].
I. S. Makarov, Acoust. Phys. 55, 261 (2009).
V. N. Sorokin, Theory of Speech Production (Radio i Svyaz’, Moscow, 1985) [in Russian].
P. S. Landa and O. V. Rudenko, Akust. Zh. 35, 855 (1989).
J. L. Kelly and C. C. Lochbaum, Proc. 4th Int. Congress on Acoustics, Copenhagen. 1962, pp. 1–4.
J. Mullen, Physical modeling of the vocal tract with the 2D digital waveguide mesh. PhD Thesis, (Univ. of York, 2006).
M. D. A. Speed, Voice synthesis using the three-dimensional digital waveguide mesh. PhD Thesis, (Univ. of York, 2012).
M. Karjalainen and M. Erkut, EURASIP J. Appl. Signal Proc., No. 7, 978 (2004).
T. Kako and T. Kano, Proc. 11th Int. Conf. on Domain Decomposition Methods, Bergen. 1999, pp. 268–273.
A. Hannukainen, T. Lukkari, J. Malinen, and P. Palo, J. Acoust. Soc. Am. 122, EL1 (2007).
E. J. Brambley, Proc. Acoustics-012, Nantes, 2012.
M. Atig, J.-P. Dalmont, and J. Gilbert, Comptes Rendus de l’Acad. des Sci. Ser. IIB–Mechanics, 1 (2004).
Ph. Morse, Vibration and Sound (MacGraw-Hill, 1948; Gos. Izd. Tekhn.-Teor. Lit., Moscow, 1949).
G. Fant, J. Phonet., No. 14, 393 (1986).
A. N. Tikhonov and A. A. Samarskii, Mathematical Physics Equations (Mos. Gos. Univ., Moscow, 1999) [in Russian].
D. Colton and R. Kress, Integral Equation Methods in Scattering Theory (Wiley, New York, 1984; Mir, Moscow, 1987).
P. M. Juhl, The boundary element method for sound field calculations. PhD Thesis Tech. Univ. of Denmark (1993).
N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel’kov, Digital Methods (Binom. Labor. Znanii, Moscow, 2003) [in Russian].
G. Fant, L. Nord, and P. Branderud, J. STL-QPSR 17, 13 (1976).
G. Fant, J. STL-QPSR 2, 121 (1995).
G. Fant, J. Speech Commun., No. 22, 125 (1997).
J. O. Smith, Spectral Audio Signal Processing (CCRMA, Stanford, 2010).
V. N. Sorokin, The Synthesis of Speech (Nauka, Moscow, 1992) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © N.A. Lyubimov, E.V. Zakharov, 2016, published in Akusticheskii Zhurnal, 2016, Vol. 62, No. 2, pp. 227–236.
Rights and permissions
About this article
Cite this article
Lyubimov, N.A., Zakharov, E.V. Mathematical model of acoustic speech production with mobile walls of the vocal tract. Acoust. Phys. 62, 225–234 (2016). https://doi.org/10.1134/S1063771016020093
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063771016020093