Real-Time numerical solution of webster's equation on a nonuniform grid

IEEE Transactions on Audio, Speech and Language Processing

Volumn 16, Issue 6, 2008, Pages 1163-1172

  Van Den Doel, K ^a   Ascher, U M ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AREA FUNCTION; AUDIO SYNTHESIS; DYNAMICAL MODEL; EXCITATION MODELS; LINEARIZED ACOUSTICS; LIP RADIATION; NON-UNIFORM GRIDS; NUMERICAL SCHEME; NUMERICAL SOLUTION; REAL-TIME SOLUTIONS; SECOND-ORDER ACCURACY; TEMPORAL DISCRETIZATION; TUBE LENGTH; VARYING CROSS SECTION; WALL MODEL;

SPEECH SYNTHESIS;

ACOUSTICS;

EID: 66149093840     PISSN: 15587916     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASL.2008.2001107     Document Type: Article

References (31)

1. K. L. Kelly and C. C. Lochbaum, "Speech synthesis," in Proc. 4th Int. Congr. Acoust., Paper G42, Copenhagen, Denamrk, 1962, pp. 1-4.
2. H. Y. Wu, P. Badin, and Y. M. Cheng, "Continuous variation of the vocal tract length in a Kelly-Lochbaum type speech production model," in Proc. Int. Congr. Phonetic Sciences (Xllh ICPhS), Tallin, Estonia, 1987, pp. 340-243.
3. G. T. H. Wright and F. J. Owens, "An optimized multirate sampling technique for the dynamic variation of the vocal tract length in the kelly-lochbaum speech synthesis model," IEEE Trans. Speech Audio Process., vol. 1, no. 1, pp. 109-113, Jan. 1993.
4. H. W. Strube, "Sampled-data representation of a non-uniformlossless tube of continuously variable length," J. Acoust. Soc. Amer., vol. 57, no. 1, pp. 256-257, 1975
5. U. K. Laine, "Digital modeling of a variable-length acoustic tube," in Proc. Nordic Acoust. Meeting, Tampere, Finland, Jun. 15-17,1988, pp. 163-168.
6. V. Välimäki and M. Karjalainen, "Improving the Kelly-Lochbaum vocal tract model using conical tube sections and fractional delay filtering techniques," in Proc. Int. Conf. Spoken Lang. Process. (ICSLP), Yokohama/Japan, Sep. 18-22, 1994, pp. 615-618.
7. S. Mathur, "Variable-length vocal tract modeling for speech synthesis," Ph.D. dissertation, Dept. Elect. Comput. Eng., Univ. of Arizona, Tucson, 2003.
8. C. C. Goodyear, "Incorporating lip protrusion and larynx lowering into a time domain model for articulatory speech synthesis," Comput. Speech Lang., vol. 14, no. 3, pp. 211-226, 2000.
9. J. Mullen, D..M. Howard, and D. T. Murphy, "Real-time dynamic articulations in the 2-D waveguide mesh vocal tract model," IEEE Trans. Audio, Speech, Lang. Process., vol. 15, no. 2, pp. 577-585, Feb. 2007.
10. K. Ishizaka and J. L. Flanagan, "Synthesis of voiced sounds from a two-mass model of the vocal cords," Bell Syst. Tech. J., vol. 51, pp. 1233-1268, 1972.
11. P. Birkholz and D. Jackel, "Influence of temporal discretization schemes on formant frequencies and bandwidths in time domain simulations of the vocal tract system," in Interspeech' 04, 8th Int. Conf. Spoken Lang. Process."2004, pp. 1125-1128.
12. P. Birkholz, "3D-Artikulatorische Sprachsynthese," Ph.D. dissertation, Universitat Rostock, Rostock, Germany, 2005.
13. R. J. Leveque, Finite Volume Methods for Hyperbolic Problems. Cambridge, U.K.: Cambridge Univ. Press, 2002.
14. P. Birkholz, [Online]. Available: http://www.vocaltractlib.de, 2008.
15. S. Temkin, Elements of Acoustics. New York: Wiley, 1981.
16. H. W. Strube, "The meaning of the Kelly-Lochbaum acoustic-tube model," J. Acoust. Soc. Amer., vol. 108, no. 4, pp. 1850-1855, 2000.
17. K. W. Morton and D. F. Mayers, Numerical Solution of Partial Differential Equations, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 2005.
18. U. M. Ascher and R. I. McLachlan, "On symplectic and multisym-plectic schemes for the KdV equation," J. Sci. Comput., vol. 25, pp. 83-104, 2005.
19. T. J. Bridges and S. Reich, "Numerical methods for Hamiltonian PDEs," J. Phys. A: Math. Gen., vol. 39, pp. 5287-5320, 2006.
20. S. Li and L. Vu-Quoc, "Finite-difference-calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation," SIAM J. Numer. Anal, vol. 32, no. 6, pp. 1839-1875, 1995.
21. R. Courant, K. O. Friedrichs, and H. Lewy, "Uber die partiellen dif-ferenzengleichungen der mathematischen physik," Mathematische An-nalen, vol. 100, pp. 32-74, 1928.
22. S. Fels, F. Vogt, K. van den Doel, J. E. Lloyd, and O. Guenther, "Ar-tisynth: An extensible, cross-platform 3D articulatory speech synthesizer," in Proc. Audio Visual Speech Process. (AVSP), Tigh-Na-Mara, BC, Canada, 2005, pp. 119-124
23. S. Fels, F. Vogt, K. van den Doel, J. Lloyd, I. Stavness, and E. Vatiki-otis-Bateson, "Developing Physically-Based, Dynamic Vocal Tract Models using ArtiSynth," in Proc. Int. Seminar Speech Production, Ubatuba, Brazil, 2006, pp. 419-426.
24. K. van den Doel, F. Vogt, R. E. English, and S. Fels, 'Towards articulatory speech synthesis with a dynamic 3D finite element tongue model," in Proc. Int. Seminar Speech Production, Ubatuba, Brazil, 2006, pp. 59-66
25. A. E. Rosenberg, "Effect of glottal pulse shape on the quality of natural vowels," J. Acoust. Soc. Amer., vol. 49, pp. 583-590, 1971.
26. J. L. Flanagan, Speech Analysis, Synthesis, and Perception. New York: Academic, 1965.
27. K. van den Doel and D. K. Pai, "JASS: A Java audio synthesis system for programmers," in Proc 1CAD, 2001, pp. 150-154.
28. U. M. Ascher, Numerical Methods for Evolutionary Differential Equations. Philadelphia, PA: SIAM, 2008
29. G. Fant, Speech Sounds and Features. Cambridge, U.K.: Cambridge Univ. Press, 1973.
30. M. M. Sondhi and J. Schroeter, "A hybrid time-frequency domain articulatory speech synthesizer," IEEE Trans. Acoust., Speech, Signal, Process., vol. ASSP-35, no. 7, pp. 955-967, Jul. 1987. (Pubitemid 17106129)
31. K. van den Doel, Online Demo [Online]. Available: http://www.es. ubc.ca/-kvdoel/ieee08, 2008.