Interpolated Rectangular 3-D Digital Waveguide Mesh Algorithms with Frequency Warping

IEEE Transactions on Speech and Audio Processing

Volumn 11, Issue 6, 2003, Pages 783-790

  Savioja, Lauri ^a   Välimäki, Vesa ^a,b  

^a AALTO UNIVERSITY   (Finland)

^b TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Acoustic propagation; Acoustic signal processing; FDTD methods; Interpolation; Multidimensional systems

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; INTERPOLATION; SIGNAL PROCESSING; WAVE PROPAGATION; WAVEGUIDES;

DIGITAL WAVEGUIDES;

SPEECH PROCESSING;

EID: 0347337995     PISSN: 10636676     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSA.2003.818028     Document Type: Article

References (24)

1. L. Savioja and V. Välimäki, "Interpolated 3-D digital waveguide mesh with frequency warping," in Proc. Int. Conf. Acoust., Speech, Signal Processing, vol. 5, Salt Lake City, UT, May 15-19, 2001, pp. 3345-3348.
2. L. Savioja, T. Rinne, and T. Takala, "Simulation of room acoustics with a 3-D finite difference mesh," in Proc. Int. Computer Music Conf., Aarhus, Denmark, Sept. 12-17, 1994, pp. 463-466.
3. S. Van Duyne and J. O. Smith, "The 2-D digital waveguide mesh, " Proc. IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, Oct. 1993.
4. A. Craggs, "Acoustic modeling: Finite element method," in Encyclopedia of Acoustics, M. J. Crocker, Ed. New York: Wiley, 1997, vol. 1, ch. 14, pp. 165-172.
5. A. F. Seybert and T. W. Wu, "Acoustic modeling: Boundary element methods," in Encyclopedia of Acoustics, M. J. Crocker, Ed. New York: Wiley, 1997, vol. 1, ch. 15, pp. 173-183.
6. S. Van Duyne and J. O. Smith, "The tetrahedral digital waveguide mesh," Proc. IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, Oct. 1995.
7. L. Savioja, "Improving the three-dimensional digital waveguide mesh by interpolation," in Proc. Nordic Acoustical Meeting, Stockholm, Sweden, Sept. 7-9, 1998, pp. 265-268.
8. L. Savioja and V. Välimäki, "Improved discrete-time modeling of multidimensional wave propagation using the interpolated digital waveguide mesh," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, vol. 1, Munich, Germany, Apr. 19-24, 1997, pp. 459-462.
9. _, "Reducing the dispersion error in the digital waveguide mesh using interpolation and frequency-warping techniques," IEEE Trans. Speech Audio Processing, vol. 8, pp. 184-194, Mar. 2000.
10. S. Van Duyne and J. O. Smith, "The 3D tetrahedral digital waveguide mesh with musical applications," in Proc. Int. Computer Music Conf., Hong Kong, Aug. 19-24, 1996, pp. 9-16.
11. 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. Boston, MA: Kluwer, 1997, ch. 10, pp. 417-466.
12. J. Strikwerda, Finite Difference Schemes and Partial Differential Equations. New York: Chapman & Hall, 1989.
13. Wave and Scattering Methods for the Numerical Integration of Partial Differential Equations, S. Bilbao. (2001). [Online]. Available: http://ccrma-www.stanford.edu/̃bilbao/
14. L. Savioja and V. Välimäki, "Reduction of the dispersion error in the triangular digital waveguide mesh using frequency warping," IEEE Signal Processing Lett., vol. 6, pp. 58-60, Mar. 1999.
15. G. Campos and D. Howard. A parallel 3D digital waveguide mesh model with tetrahedral topology for room acoustic simulation, presented at COST G-6 Conf. Digital Audio Effects. [Online], Available: http://profs.sci.univr.it/̃dafx/DAFx-final-papers.html
16. Modeling Techniques for Virtual Acoustics, L. Savioja. (1999). [Online]. Available: http://www.tml.hut.fi/̃las/publications
17. A. Oppenheim, D. Johnson, and K. Steiglitz, "Computation of spectra with unequal resolution using the fast Fourier transform," Proc. IEEE, vol. 59, pp. 299-301, Feb. 1971.
18. V. Välimäki and L. Savioja. Interpolated and warped 2-D digital waveguide mesh algorithms. presented at COST G-6 Conf. Digital Audio Effects. [Online]. Available: http://profs.sci.univr.it/̃dafx/DAFx-final-papers.html
19. L. Savioja and V. Välimäki, "Multiwarping for enhancing the frequency accuracy of digital waveguide mesh simulations," IEEE Signal Processing Lett., vol. 8, pp. 134-136, May 2001.
20. F. Fontana and D. Rocchesso, "Online correction of dispersion error in 2D waveguide meshes," in Proc. Int. Computer Music Conf., Berlin, Germany, Aug. 2000, pp. 78-81.
21. S. Stoffels. Full mesh warping techniques. presented at COST G-6 Conf. Digital Audio Effects. [Online]. Available: http://profs.sci.univr.it/̃dafx/DAFx-final-papers.html
22. J. O. Smith, "Techniques for Digital Filter Design and System Identification with Application to the Violin," Ph.D. Thesis, Elect. Eng. Dept., Stanford University, Stanford, CA, June 1983.
23. J.-M. Jot, V. Larcher, and O. Warusfel, "Digital signal processing issues in the context of binaural and transaural stereophony," in The 98th Audio Engineering Society (AES) Convention, Preprint 3980, Paris, France, Feb. 1995.
24. F. Fontana and D. Rocchesso, "Signal-theoretic characterization of waveguide mesh geometries for models of two-dimensional wave propagation in elastic media," IEEE Trans. Speech Audio Processing, vol. 9, pp. 152-161, Feb. 2001.