Digital waveguides versus finite difference structures: Equivalence and mixed modeling

Eurasip Journal on Applied Signal Processing

Volumn 2004, Issue 7, 2004, Pages 978-989

  Karjalainen, Matti ^a   Erkut, Cumhur ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

Acoustic signal processing; Digital waveguides; Fdtd model structures; Hybrid models; Scattering

Indexed keywords

ACOUSTIC SURFACE WAVE FILTERS; ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVE SCATTERING; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; MUSICAL INSTRUMENTS; VIBRATIONS (MECHANICAL); WAVEGUIDES;

DIGITAL WAVEGUIDES; FDTD MODEL STRUCTURES; HYBRID MODELS; MIXED MODELING;

DIGITAL SIGNAL PROCESSING;

EID: 4344700166     PISSN: 11108657     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1110865704401176     Document Type: Article

References (27)

1. J. L. Kelly and C. C. Lochbaum, "Speech synthesis," in Proc. 4th International Congress on Acoustics, pp. 1-4, Copenhagen, Denmark, September 1962.
2. N. H. Fletcher and T. D. Rossing, The Physics of Musical Instruments, Springer-Verlag, New York, NY, USA, 2nd edition, 1998.
3. J. D. Markel and A. H. Gray, Linear Prediction of Speech, Springer-Verlag, New York, NY, USA, 1976.
4. J. O. Smith, "Physical modeling using digital waveguides," Computer Music Journal, vol. 16, no. 4, pp. 74-91, 1992.
5. J. O. Smith, "Principles of digital waveguide models of musical instruments," in Applications of Digital Signal Processing to Audio and Acoustics, M. Kahrs and K. Brandenburg, Eds., pp. 417-466, Kluwer Academic Publishers, Boston, Mass, USA, 1998.
6. M. Karjalainen, V. Välimäki, and T. Tolonen, "Plucked-string models; From the Karplus-Strong algorithm to digital waveguides and beyond," Computer Music Journal, vol. 22, no. 3, pp. 17-32, 1998.
7. S. A. Van Duyne and J. O. Smith, "Physical modeling with the 2-D digital waveguide mesh," in Proc. International Computer Music Conference, pp. 40-47, Tokyo, Japan, September 1993.
8. L. Savioja, T. J. Rinne, and T. Takala, "Simulation of room acoustics with a 3-D finite difference mesh," in Proc. International Computer Music Conference, pp. 463-466, Aarhus, Denmark, September 1994.
9. L. Savioja, Modeling techniques for virtual acoustics, Ph.D. thesis, Helsinki University of Technology, Espoo, Finland, 1999.
10. S. D. Bilbao, Wave and scattering methods for the numerical integration of partial differential equations, Ph.D. thesis, Stanford University, Stanford, Calif, USA, May 2001.
11. J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations, Wadsworth and Brooks/Cole, Pacific Grove, Calif, USA, 1989.
12. L. Hiller and P. Ruiz, "Synthesizing musical sounds by solving the wave equation for vibrating objects: Part 1," Journal of the Audio Engineering Society, vol. 19, no. 6, pp. 462-470, 1971.
13. L. Hiller and P. Ruiz, "Synthesizing musical sounds by solving the wave equation for vibrating objects: Part 2," Journal of the Audio Engineering Society, vol. 19, no. 7, pp. 542-551, 1971.
14. A. Chaigne, "On the use of finite differences for musical synthesis. Application to plucked stringed instruments," Journal d'Acoustique, vol. 5, no. 2, pp. 181-211, 1992.
15. M. Karjalainen, "1-D digital waveguide modeling for improved sound synthesis," in Proc. IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 2, pp. 1869-1872, Orlando, Fla, USA, May 2002.
16. C. Erkut and M. Karjalainen, "Virtual strings based on a 1-D FDTD waveguide model: Stability, losses, and traveling waves," in Proc. Audio Engineering Society 22nd International Conference on Virtual, Synthetic and Entertainment Audio, pp. 317-323, Espoo, Finland, June 2002.
17. C. Erkut and M. Karjalainen, "Finite difference method vs. digital waveguide method in string instrument modeling and synthesis," in Proc. International Symposium on Musical Acoustics, Mexico City, Mexico, December 2002.
18. M. Karjalainen, C. Erkut, and L. Savioja, "Compilation of unified physical models for efficient sound synthesis," in Proc. IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 5, pp. 433-436, Hong Kong, China, April 2003.
19. A. Fettweis, "Wave digital filters: Theory and practice," Proc. IEEE, vol. 74, no. 2, pp. 270-327, 1986.
20. M. Karjalainen, "BlockCompiler: Efficient simulation of acoustic and audio systems," in Proc. 114th Audio Engineering Society Convention, Amsterdam, Netherlands, March 2003, preprint 5756.
21. M. Karjalainen, "Time-domain physical modeling and real-time synthesis using mixed modeling paradigms," in Proc. Stockholm Music Acoustics Conference, vol. 1, pp. 393-396, Stockholm, Sweden, August 2003.
22. T. I. Laakso, V. Välimäki, M. Karjalainen, and U. K. Laine, "Splitting the unit delay-tools for fractional delay filter design," IEEE Signal Processing Magazine, vol. 13, no. 1, pp. 30-60, 1996.
23. J. R. Pierce and S. A. Van Duyne, "A passive nonlinear digital filter design which facilitates physics-based sound synthesis of highly nonlinear musical instruments," Journal of the Acoustical Society of America, vol. 101, no. 2, pp. 1120-1126, 1997.
24. R. Msallam, S. Dequidt, S. Tassart, and R. Causse, "Physical model of the trombone including nonlinear propagation effects," in Proc. International Symposium on Musical Acoustics, vol. 2, pp. 419-424, Edinburgh, Scotland, UK, August 1997.
25. T. Ilmonen, "Mustajuuri - an application and toolkit for interactive audio processing," in Proc. International Conference on Auditory Display, pp. 284-285, Espoo, Finland, July 2001.
26. M. Puckette, "Pure data," in Proc. International Computer Music Conference, pp. 224-227, Thessaloniki, Greece, September 1997.
27. J. E. Brittain, "Thevenin's theorem," IEEE Spectrum, vol. 27, no. 3, pp. 42, 1990.