THE WAVE DIGITAL REED: A PASSIVE FORMULATION

Proceedings of the International Conference on Digital Audio Effects, DAFx

Volumn , Issue , 2003, Pages

  Bilbao, Stefan ^a   Bensa, Julien ^b   Kronland Martinet, Richard ^b  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL FILTERS; NONLINEAR EQUATIONS;

CIRCUIT MODELING; DELAY FREE LOOPS; DIGITAL NETWORKS; EXCITATION MECHANISMS; NONLINEAR ALGEBRAIC EQUATIONS; PROPERTY; SIMPLE++; STABILITY VERIFICATION; WAVE DIGITAL FILTERS;

NUMERICAL METHODS;

EID: 17044400279     PISSN: 24136700     EISSN: 24136689     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. M. O. Van Walstijn, Discrete-Time Modelling of Brass and Reed woodwind Instruments with Application to Musical Sound Synthesis, Ph.D. thesis, Faculty of Music, University of Edinburgh, 2002.
2. J. Kergomard, Elementary Considerations on Reed-instrument Oscillations, Springer, 1995, in Mechanics of Musical Instruments, Lecture notes CISM.
3. B. Gazengel, J. Gilbert, and N. Amir, “Time domain simulation of single reed wind instruments. From the measured impedance to the synthesis signal. Where are the traps?,” Acta Acustica, vol. 3, pp. 445-472, 1995.
4. G. Borin, G. De Poli, and Davide Rochesso, “Elimination of delay-free loops in discrete-time models of nonlinear acoustic systems,” IEEE Trans. Speech Audio Process, vol. 8, pp. 597-606, 2000.
5. A. Fettweis, “Digital filters related to classical structures,” vol. 25, pp. 79-89, 1971.
6. A. Fettweis, “Wave digital filters: Theory and practice,” vol. 74, no. 2, pp. 270-327, 1986.
7. H. D. Fischer, “Wave digital filters for numerical integration,” ntz-Archiv, vol. 6, pp. 37-40, Feb. 1984.
8. T. Felderhoff, “Simulation of nonlinear circuits with period-doubling and chaotic behavior by wave digital filter principles,” vol. 41, no. 7, pp. 485-9, July 1994.
9. J. O. Smith III, “Music applications of digital waveguides,” Tech. Rep. STAN-M-39, Center for Computer Research in Music and Acoustics (CCRMA), Department of Music, Stanford University, 1987.
10. J. O. Smith III, “Efficient simulation of the reed-bore and bow-string mechanisms,” in Proceedings of the International Computer Music Conference, The Hague. p. 275, Computer Music Association.
11. S. Bilbao, J. Bensa, R. Kronland-Martinet, and J. O. Smith III, “The wave digital piano hammer: a passive formulation,” in Proc. of the 144th meeting of the Acoustical Society of America, Cancun, Mexico, 2002.
12. J. Bensa, S. Bilbao, R. Kronland-Martinet, and J. O. Smith III, “A power-normalized non-linear lossy piano hammer,” in Proceedings of the Stockholm Musical Acoustics Conference (SMAC), Stockholm, Sweden, Aug. 2003.
13. V. Belevitch, Classical Network Theory, Holden Day, San Francisco, 1968.
14. L. Weinberg, Network Analysis and Synthesis, McGraw-Hill, New York, 1962.
15. A. Fettweis, “Discrete passive modelling of physical systems described by PDEs,” in SIGNAL PROCESSING VI: Theory and Applications. Proceedings of EUSIPCO-92, Sixth European Signal Processing Conference, Brussels, Belgium, 24-27 Aug. 1992, vol. 1, pp. 55-62, Elsevier Science Publishers.
16. A. Fettweis and K. Meerkötter, “On adaptors for wave digital filters,” vol. ASSP-23, no. 6, pp. 516-25, Dec. 1975.
17. R. Horn and C. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, England, 1985.