Vowel formants from the wave equation.

This article describes modal analysis of acoustic waves in the human vocal tract while the subject is pronouncing [o]. The model used is the wave equation in three dimensions, together with physically relevant boundary conditions. The geometry is reconstructed from anatomical MRI data obtained by other researchers. The computations are carried out using the finite element method. The model is validated by comparing the computed modes with measured data.

[1]  Ritu Sharma.  Speech Synthesis , 2019, The SAGE Encyclopedia of Human Communication Sciences and Disorders.

[2]  Gunnar Fant,et al.  Acoustic Theory Of Speech Production , 1960 .

[3]  Pierre Badin,et al.  Development of the transmission line matrix method in acoustics applications to higher modes in the vocal tract and other complex ducts , 1998 .

[4]  T. Chiba.  The vowel, its nature and structure , 1958 .

[5]  Takayoshi Nakai,et al.  Finite element simulation of sound transmission in vocal tract , 1993 .

[6]  Pierre Badin,et al.  Vocal tract acoustics using the transmission line matrix (TLM) method , 1996, Proceeding of Fourth International Conference on Spoken Language Processing. ICSLP '96.

[7]  Claes Johnson.  Numerical solution of partial differential equations by the finite element method , 1988 .

[8]  T. Lukkari,et al.  Formants and vowel sounds by the Finite Element Method , 2006 .

[9]  J. Malinen,et al.  Impedance Passive and Conservative Boundary Control Systems , 2007 .

[10]  Masafumi Matsumura,et al.  Frequency dependence of vocal-tract length , 2002, INTERSPEECH.

[11]  Olof J. Staffans,et al.  Conservative boundary control systems , 2006 .

[12]  M M Sondhi.  Resonances of a bent vocal tract. , 1986, The Journal of the Acoustical Society of America.

[13]  C. Foias,et al.  The commutant lifting approach to interpolation problems , 1990 .

[14]  Nobuhiro Miki,et al.  FEM analysis based on 3-d time-varying vocal tract shape , 2003, INTERSPEECH.

[15]  Alex Acero,et al.  Spoken Language Processing , 2001 .

[16]  Unto K. Laine.  Modelling of LIP radiation impedance in Z-domain , 1982, ICASSP.

[17]  D. Sorensen.  Numerical methods for large eigenvalue problems , 2002, Acta Numerica.

[18]  Jaromír Horácek,et al.  Numerical modelling of effect of tonsillectomy on production of Czech vowels /a/ and /i/ , 2005, MAVEBA.

[19]  Lennart Ljung,et al.  On the estimation of transfer functions , 1985, Autom..

[20]  David M. Howard,et al.  Waveguide physical modeling of vocal tract acoustics: flexible formant bandwidth control from increased model dimensionality , 2006, IEEE Transactions on Audio, Speech, and Language Processing.

[21]  Jaromír Horá,et al.  Numerical Modelling of Production of Czech Vowel /a/ based on FE Model of the Vocal Tract , 2004 .

[22]  Olof J. Staffans,et al.  When is a linear system conservative , 2006 .

[23]  Pierre Badin,et al.  Collecting and analysing two- and three- dimensional MRI data for Swedish , 1999 .

[24]  H. K. Dunn.  The Calculation of Vowel Resonances, and an Electrical Vocal Tract , 1950 .