Systematic methods for the implementation of nonlinear wave-digital structures

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 56, Issue 2, 2009, Pages 460-472

  Sarti, Augusto ^a   De Sanctis, Giovanni ^b  

^a POLITECNICO DI MILANO   (Italy)

^b QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

Physical modeling; Sound synthesis; Wave digital filters (WDFs)

Indexed keywords

BINARY TREES; DIGITAL FILTERS; EQUATIONS OF STATE; FORESTRY; TOPOLOGY;

NON-LINEAR PHYSICAL MODELS; PHYSICAL MODEL; SOUND SYNTHESIS; STATE SPACE EQUATION; STRUCTURAL INSPECTIONS; SYMBOLIC DESCRIPTION; TOPOLOGICAL REPRESENTATION; WAVE DIGITAL FILTERS;

ACOUSTICS;

EID: 61349147301     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2008.2001801     Document Type: Article

References (25)

1. A. Fettweis, "Wave digital filters: Theory and practice," Proc. IEEE, vol. 74, no. 2, pp. 327-270, Feb. 1986.
2. G. Borin, G. De Poli, and A. Sarti,, C. Roads, S. T. Pope, A. Piccialli, and G. De Poli, Eds., "Musical signal processing," in Musical Signal Synthesis. Lisse, The Netherlands: Swets and Zeitlinger, 1997, pp. 5-30.
3. J. O. Smith,, M. Kahrs and K. Brandenburg, Eds., "Principles of digital waveguide models of musical instruments," in Applications of Digital Signal Processing to Audio and Acoustics. Norwell, MA: Kluwer, 1998, pp. 417-466.
4. F. Pedersini, A. Sarti, and S. Tubaro, "Object-based sound synthesis for virtual environments," IEEE Signal Process. Mag., vol. 17, no. 6, pp. 37-51, Nov. 2000.
5. S. Bilbao, J. O. Smith, J. Bensa, and R. Kronland-Martinet, "A power-normalized wave digital piano hammer," in Proc. Program 144th Meeting J. Acoust. Soc. Amer., Cancun, Mexico, Dec. 2-6, 2002.
6. R. Rabenstein and L. Trautmann, "Digital sound synthesis of string instruments with the functional transformation method," Signal Process., vol. 83, no. 8, pp. 1673-1688, Aug. 2003.
7. S. Petrausch and R. Rabenstein, "Interconnection of state space structures and wave digital filters," IEEE Trans. Circuits Systems II, Exp. Briefs, vol. 52, no. 2, pp. 90-93, Feb. 2004.
8. V. Välimäki, J. Pakarinen, C. Erkut, and M. Karjalainen, "Discretetime modeling of musical instruments," Rep. Prog. Phys. vol. 69, no. 1, pp. 1-78, 2006.
9. T. Felderhoff, "Simulation of nonlinear circuits with period doubling and chaotic behavior by wave digital principles," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 41, no. 7, pp. 485-491, Jul. 1994.
10. T. Felderhoff, "A new wave description for nonlinear elements," in Proc. IEEE Int. Symp. Circuits Syst., Atlanta, GA, May 12-15, 1996, pp. 221-224.
11. F. Pedersini, A. Sarti, and S. Tubaro, "Block-wise physical model synthesis for musical acoustics," Electron. Lett., vol. 35, no. 17, pp. 1418-1419, Aug. 1999.
12. A. Hirschberg, J. Kergomard, and G. Weinreich, Mechanics of Musical Instruments. Berlin, Germany: Springer-Verlag, 1995.
13. A. H. Benade, Fundamentals of Musical Acoustics. New York: Dover, 1990, Reprint edition.
14. A. Sarti and G. De Poli, "Toward nonlinear wave digital filters," IEEE Trans. Signal Process., vol. 47, no. 6, pp. 1654-1668, Jun. 1999.
15. K. Meerkötter and R. Scholz, "Digital simulation of nonlinear circuits by wave digital filter principles," in Proc. IEEE Int. Symp. Circuits Syst., Portland, OR, May 8-11, 1989, vol. 1, pp. 720-723.
16. A. Sarti and G. De Poli, "Generalized adaptors with memory for nonlinear wave digital structures," in Proc. 8th EUSIP CO, Trieste, Italy, Sep. 1996, vol. 3, no. 10-13, pp. 1941-1944.
17. A. Fettweis e and K. Meerkötter, "On adaptors for wave digital filters," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-23, no. 6, pp. 516-525, Dec. 1975.
18. A. Sarti and G. De Sanctis, "Structural equivalences in wave digital systems based on dynamic scattering cells," in Proc. 14th EUSIPCO Florence, Italy, Sep. 4-8, 2006.
19. A. Sarti and G. De Sanctis, "Memory extraction from dynamic scattering junctions in wave digital structures," IEEE Signal Process. Lett. vol. 13, no. 12, pp. 729-732, Dec. 2006.
20. Algorithms for the Modeling of Acoustic Interactions [Online]. Available: http://www-dsp.elet.polimi.it/alma/IST-2001-33059ALMA Project
21. V. Belevitch, Classical Network Theory. San Francisco, CA: Holden Day, 1968.
22. D. Franken and J. Ochs, "Generation of wave digital structures for networks containing multiport elements," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 3, pp. 586-596, Mar. 2005.
23. A. Fettweis, "Multidimensional wave digital principles: From filtering to numerical integration," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Adelaide, Australia, Apr. 19-22, 1994, vol. 6, pp. 173-181.
24. S. Bilbao, Wave and Scattering Methods for Numerical Simulation. Chichester, U.K.: Wiley, 2004.
25. S. Petraush and R. Rabenstein, "Wave digital filters with multiple nonlinearities," in Proc. 12th EUSIPCO, Vienna, Austria, Sep. 10, 2004.