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- 1
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M. J. Beeson and D. T. Murphy, ``RoomWeaver: A digital waveguide mesh based
room acoustics research tool,'' in Proceedings of the Conference on Digital Audio Effects
(DAFx-04), Naples, Italy, Oct. 2004.
- 2
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J. Bensa, S. Bilbao, R. Kronland-Martinet, and J. O. Smith, ``The simulation of
piano string vibration: from physical models to finite difference schemes and
digital waveguides,'' Journal of the Acoustical Society of America,
vol. 114(2), pp. 1095-1107, 2003.
- 3
-
S. Bilbao, Wave and Scattering Methods for the Numerical Integration of
Partial Differential Equations,
PhD thesis, Stanford University, June 2001,
http:
//ccrma.stanford.edu/~bilbao/.
- 4
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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.
- 5
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A. Chaigne and A. Askenfelt, ``Numerical simulations of piano strings, parts
I and II,'' Journal of the Acoustical Society of America, vol. 95,
pp. 1112-1118, 1631-1640, Feb.-March 1994.
- 6
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J. l. R. d'Alembert, ``Investigation of the curve formed by a vibrating
string, 1747,'' in Acoustics: Historical and Philosophical Development
(R. B. Lindsay, ed.), pp. 119-123, Stroudsburg: Dowden, Hutchinson & Ross,
1973.
- 7
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C. Erkut and M. Karjalainen, ``Finite difference method vs. digital waveguide
method in string instrument modeling and synthesis,'' in Proceedings of the International Symposium on Musical Acoustics (ISMA-02), Mexico City, 2002,
http:
//www.acoustics.hut.fi/~cerkut/publications.html.
- 8
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C. Erkut and M. Karjalainen, ``Virtual strings based on a 1-D FDTD
waveguide model,'' Proceedings of the Audio Engineering Society 22nd International Conference,
Espoo, Finland, pp. 317-323, June 15-17, 2002,
http:
//www.acoustics.hut.fi/~cerkut/publications.html.
- 9
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G. Essl, Jan 13, 2004,
http:
//arxiv.org/abs/physics/0401065v1.
- 10
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B. Fornberg, A Practical Guide to Pseudo-Spectral Methods,
Cambridge University Press, 1998.
- 11
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T. Kailath, Linear Systems,
Englewood Cliffs, NJ: Prentice-Hall, Inc., 1980.
- 12
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M. Karjalainen, ``1-D digital waveguide modeling for improved sound
synthesis,'' in Proceedings of the International Conference on Acoustics, Speech, and Signal
Processing, Orlando, Florida, USA, vol. 2, (New York), pp. 1869-1872,
IEEE Press, May 2002.
- 13
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M. Karjalainen, ``Mixed physical modeling: DWG + FDTD + WDF,'' in Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New
Paltz, NY, (New York), pp. 225-228, IEEE Press, Oct. 2003.
- 14
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M. Karjalainen, ``Time-domain physical modeling and real-time synthesis using
mixed modeling paradigms,'' in Proceedings of the Stockholm Musical Acoustics
Conference (SMAC-03),
http:
//www.speech.kth.se/smac03/, (Stockholm), pp. 393-396, Royal
Swedish Academy of Music, Aug. 2003.
- 15
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M. Karjalainen and C. Erkut, ``Digital waveguides vs. finite difference
schemes: Equivalance and mixed modeling,'' EURASIP Journal on Applied
Signal Processing, vol. 2004, pp. 978-989, June 15, 2004.
- 16
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A. Krishnaswamy and J. O. Smith, ``Methods for simulating string collisions
with rigid spatial objects,'' in Proceedings of the IEEE Workshop on Applications of Signal
Processing to Audio and Acoustics, New Paltz, NY, (New York), IEEE Press,
Oct. 2003.
- 17
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J. D. Markel and A. H. Gray, Linear Prediction of Speech,
New York: Springer Verlag, 1976.
- 18
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P. Moin, Engineering Numerical Analysis,
Cambridge University Press, 2001.
- 19
-
P. M. Morse, Vibration and Sound,
http:
//asa.aip.org/publications.html: American Institute of Physics,
for the Acoustical Society of America, 1948,
1st edition 1936, last author's edition 1948, ASA edition 1981.
- 20
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A. W. Nayor and G. R. Sell, Linear Operator Theory in Engineering and
Science,
New York: Springer Verlag, 1982.
- 21
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R. Pitteroff and J. Woodhouse, ``Mechanics of the contact area between a violin
bow and a string, part ii: Simulating the bowed string,'' Acta
Acustica, vol. 84, pp. 744-757, 1998.
- 22
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R. Pitteroff and J. Woodhouse, ``Mechanics of the contact area between a violin
bow and a string, part iii: Parameter dependence,'' Acta Acustica,
vol. 84, pp. 929-946, 1998.
- 23
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P. M. Ruiz, A Technique for Simulating the Vibrations of Strings with a
Digital Computer,
PhD thesis, Music Master Diss., Univ. Ill., Urbana, 1969.
- 24
-
J. O. Smith, ``Music applications of digital waveguides,'' Tech. Rep.
STAN-M-39, CCRMA, Music Department, Stanford University, 1987,
CCRMA Technical Report
STAN-M-39,
http:
//ccrma.stanford.edu/STANM/stanms/stanm39/.
- 25
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J. O. Smith, ``Physical modeling using digital waveguides,'' Computer Music Journal, vol. 16, pp. 74-91, Winter 1992,
special issue: Physical Modeling of Musical Instruments, Part I.
http:
//ccrma.stanford.edu/~jos/pmudw/.
- 26
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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,
Boston/Dordrecht/London: Kluwer Academic Publishers, 1998.
- 27
-
J. O. Smith, Mathematics of the Discrete Fourier Transform (DFT),
http:
//w3k.org/books/: W3K Publishing, 2003,
http:
//ccrma.stanford.edu/~jos/mdft/.
- 28
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J. O. Smith, Introduction to Digital Filters,
http:
//ccrma.stanford.edu/~jos/filters/, May 2004.
- 29
-
J. O. Smith, Physical Audio Signal Processing: Digital Waveguide Modeling
of Musical Instruments and Audio Effects,
http:
//ccrma.stanford.edu/~jos/pasp/, December 2005.
- 30
-
J. C. Strikwerda, Finite Difference Schemes and Partial Differential
Equations,
Pacific Grove, CA: Wadsworth and Brooks, 1989.
- 31
-
S. A. Van Duyne and J. O. Smith, ``Physical modeling with the 2-D digital
waveguide mesh,'' in Proceedings of the 1993 International Computer Music Conference,
Tokyo, pp. 40-47, Computer Music Association, 1993,
http:
//ccrma.stanford.edu/~jos/pdf/mesh.pdf.
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