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G. Scavone and J. O. Smith, ``Digital waveguide modeling of woodwind toneholes,'' 132nd meeting of the Acoustical Society of America, Honolulu, Dec. 1996.

406

G. Scavone and J. O. Smith, ``Digital waveguide modeling of woodwind toneholes,'' in Proceedings of the 1997 International Computer Music Conference, Greece, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1997.

407

G. Scavone and J. O. Smith, ``Scattering parameters for the Keefe clarinet tonehole model,'' in Proceedings of the International Symposium on Musical Acoustics (ISMA-97), Edinburgh, Scotland, pp. 433-438, Aug. 1997.

408

G. P. Scavone and P. R. Cook, ``Real-time computer modeling of woodwind instruments,'' in Proceedings of the International Symposium on Musical Acoustics (ISMA-98), Leavenworth, Washington, pp. 197-202, July 1998,
https://ccrma.stanford.edu/~jos/tonehole/.

409

G. P. Scavone, An Acoustic Analysis of Single-Reed Woodwind Instruments with an Emphasis on Design and Performance Issues and Digital Waveguide Modeling Techniques,
PhD thesis, CCRMA, Music Dept., Stanford University, Mar. 1997,
https://ccrma.stanford.edu/~gary/.

410

R. W. Schafer and L. R. Rabiner, ``A digital signal processing approach to interpolation,'' Proceedings of the IEEE, vol. 61, pp. 692-702, June 1973.

411

R. W. Schafer and J. D. Markel, eds., Speech Analysis,
New York: IEEE Press, 1979.

412

J. C. Schelleng, ``The violin as a circuit,'' Journal of the Acoustical Society of America, vol. 35, pp. 326-338, 1963.

413

J. C. Schelleng, ``The bowed string and the player,'' Journal of the Acoustical Society of America, vol. 53, pp. 26-41, Jan. 1973.

414

K. M. Schmidt, Prelude for Strings: The Origins of Spectral Theory,
Cardiff University: Cardiff School of Mathematics, 2004,
http://www.cf.ac.uk/maths/diffeq/strings.html.

415

M. R. Schroeder, ``Natural-sounding artificial reverberation,'' Journal of the Audio Engineering Society, vol. 10, no. 3, pp. 219-223, 1962.

416

M. R. Schroeder, ``New method for measuring reverberation time,'' Journal of the Acoustical Society of America, vol. 37, no. 5, pp. 232-235, 1965.

417

M. R. Schroeder, ``Vocoders: Analysis and synthesis of speech (a review of 30 years of applied speech research),'' Proceedings of the IEEE, vol. 54, pp. 720-734, May 1966,
Reprinted in [411, pp. 352-366].

418

M. R. Schroeder, ``Digital simulation of sound transmission in reverberant spaces (part i),'' Journal of the Acoustical Society of America, vol. 47, no. 2, pp. 424-431, 1970.

419

M. R. Schroeder, ``Diffuse sound reflection by maximum-length sequence,'' Journal of the Acoustical Society of America, vol. 57, no. 1, pp. 149-150, 1975.

420

M. R. Schroeder and B. F. Logan, ``Colorless artificial reverberation,'' IRE Transactions on Audio, vol. AU-9, pp. 209-214, Nov-Dec 1961.

421

M. R. Schroeder and B. F. Logan, ``Colorless artificial reverberation,'' Journal of the Audio Engineering Society, vol. 9, pp. 192-197, July 1961.

422

C. Segoufin, B. Fabre, M. P. Verge, A. Hirschberg, and A. P. J. Wijnands, ``Experimental study of the influence of mouth geometry on sound production in a recorder-like instrument: Windway length and chamfers,'' Acta Acustica united with Acustica, vol. 86, pp. 649-661, 2000.

423

S. Serafin, The sound of friction: real-time models, playability and musical applications,
PhD thesis, Music Department, Stanford University, 2004.

424

S. Serafin and D. Young, ``Bowed string physical model validation through use of a bow controller and examination of bow strokes,'' in Proceedings of the Stockholm Musical Acoustics Conference (SMAC-03), http://www.speech.kth.se/smac03/, 2003.

425

S. Serafin, J. O. Smith, and J. Woodhouse, ``An investigation of the impact of torsion waves and friction characteristics on the playability of virtual bowed strings,'' in Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, (New York), IEEE Press, Oct. 1999.

426

S. Serafin, P. Huang, and J. O. Smith, ``The banded digital waveguide mesh,'' in Workshop on Current Research Directions in Computer Music, (Audiovisual Institute, Pompeu Fabra University), Nov. 15-17, 2001.

427

S. Serafin, P. Huang, S. Ystad, C. Chafe, and J. O. Smith, ``Analysis and synthesis of unusual friction-driven musical instruments,'' in Proceedings of the 2002 International Computer Music Conference, Sweden, 2002.

428

X. Serra and J. O. Smith, ``Spectral modeling synthesis: A sound analysis/synthesis system based on a deterministic plus stochastic decomposition,'' Computer Music Journal, vol. 14, no. 4, pp. 12-24, 1990,
Software and recent papers URL: //www.iua.upf.es/~xserra/.

429

D. B. Sharp, Acoustic Pulse Reflectometry for the Measurement of Musical Wind Instruments,
PhD thesis, Dept. of Physics and Astronomy, University of Edinburgh, 1996,
URL originally http://acoustics.open.ac.uk/pdf/thesis.pdf.

430

J. H. Smith and J. Woodhouse, ``The tribology of rosin,'' Journal of Mechanics and Physics of Solids, vol. 48, pp. 1633-1681, Aug. 2000.

431

J. Smith, J. Kuroda, J. Perng, K. V. Heusen, and J. Abel, ``Efficient computational modeling of piano strings for real-time synthesis using mass-spring chains, coupled finite differences, and digital waveguide sections,'' Acoustical Society of America, Program of the 2nd Pan-American/Iberian Meeting on Acoustics (abstract and presentation), Cancun, Mexico, Nov. 15-19, 2010,
invited presentation. Presentation overheads: https://ccrma.stanford.edu/~jos/pdf/ASA-2010-jos.pdf.

432

J. O. Smith, Techniques for Digital Filter Design and System Identification with Application to the Violin,
PhD thesis, Elec. Engineering Dept., Stanford University (CCRMA), June 1983,
CCRMA Technical Report STAN-M-14, https://ccrma.stanford.edu/STANM/STANM/stanm14/.

433

J. O. Smith, ``An allpass approach to digital phasing and flanging,'' in Proceedings of the 1984 International Computer Music Conference, Paris, pp. 103-109, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1984,
CCRMA Technical Report STAN-M-14, https://ccrma.stanford.edu/STANM/STANM/stanm14/.

434

J. O. Smith, ``A new approach to digital reverberation using closed waveguide networks,'' in Proceedings of the 1985 International Computer Music Conference, Vancouver, pp. 47-53, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1985,
also available in [437].

435

J. O. Smith, ``Efficient simulation of the reed-bore and bow-string mechanisms,'' in Proceedings of the 1986 International Computer Music Conference, The Hague, pp. 275-280, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1986,
also available in [437].

436

J. O. Smith, ``Elimination of limit cycles and overflow oscillations in time-varying lattice and ladder digital filters,'' in Proceedings of the IEEE Symposium on Circuits and Systems, San Jose, May 1986,
conference version; full version available in [437].

437

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, https://ccrma.stanford.edu/STANM/stanm39/.

438

J. O. Smith, ``Waveguide filter tutorial,'' in Proceedings of the 1987 International Computer Music Conference, Champaign-Urbana, pp. 9-16, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1987.

439

J. O. Smith, ``Viewpoints on the history of digital synthesis,'' in Proceedings of the 1991 International Computer Music Conference, Montréal, pp. 1-10, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1991,
https://ccrma.stanford.edu/~jos/kna/.

440

J. O. Smith, ``Waveguide simulation of non-cylindrical acoustic tubes,'' in Proceedings of the 1991 International Computer Music Conference, Montréal, pp. 304-307, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1991.

441

J. O. Smith, ``Physical modeling using digital waveguides,'' Computer Music Journal, vol. 16, no. 4, pp. 74-91, 1992,
special issue: Physical Modeling of Musical Instruments, Part I. https://ccrma.stanford.edu/~jos/pmudw/.

442

J. O. Smith, ``The window method for digital filter design,'' Winter 1992,
Mathematica notebook for Music 420 (EE 367A), URL:ftp://ccrma-ftp.stanford.edu/pub/DSP/Tutorials/Kaiser.ma.Z.

443

J. O. Smith, ``Efficient synthesis of stringed musical instruments,'' in Proceedings of the 1993 International Computer Music Conference, Tokyo, pp. 64-71, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1993,
incorporated into this book.

444

J. O. Smith, ``Physical modeling synthesis update,'' Computer Music Journal, vol. 20, no. 2, pp. 44-56, 1996,
https://ccrma.stanford.edu/~jos/pmupd/.

445

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.

446

J. O. Smith, Introduction to Matlab and Octave,
https://ccrma.stanford.edu/~jos/matlab/, 2003.

447

J. O. Smith, ``On the equivalence of digital waveguide and finite difference time domain schemes,'' July 21, 2004,
http://arxiv.org/abs/physics/0407032/.

448

J. O. Smith, ``Virtual acoustic musical instruments: Review and update,'' Journal of New Music Research, vol. 33, no. 3, pp. 283-304, 2004.

449

J. O. Smith, ``A history of ideas leading to virtual acoustic musical instruments,'' in Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, (New York), IEEE Press, Oct. 2005,
keynote paper.

450

J. O. Smith, Physical Audio Signal Processing: Digital Waveguide Modeling of Musical Instruments and Audio Effects,
https://ccrma.stanford.edu/~jos/pasp/, Dec. 2005.

451

J. O. Smith, Virtual Acoustic Musical Instruments: Review of Models and Selected Research,
https://ccrma.stanford.edu/~jos/Mohonk05/, 2005.

452

J. O. Smith, Introduction to Digital Filters with Audio Applications,
https://ccrma.stanford.edu/~jos/filters/, Sept. 2007,
online book.

453

J. O. Smith, ``Making virtual electric guitars and associated effects using FAUST ,'' Dec. 2007,
https://ccrma.stanford.edu/realsimple/faust_strings/.

454

J. O. Smith, Mathematics of the Discrete Fourier Transform (DFT), with Audio Applications, Second Edition,
https://ccrma.stanford.edu/~jos/mdft/, Apr. 2007,
online book.

455

J. O. Smith, ``Signal processing in FAUST and Pd,'' Nov. 2007,
https://ccrma.stanford.edu/~jos/faust/.

456

J. O. Smith, ``Virtual electric guitars and effects using FAUST and Octave,'' in Proceedings of the 6th International Linux Audio Conference (LAC-08), http://lac.linuxaudio.org/, 2008,
paper: https://ccrma.stanford.edu/realsimple/faust_strings/faust_strings.pdf, presentation overheads: https://ccrma.stanford.edu/~jos/pdf/LAC2008-jos.pdf, supporting website: https://ccrma.stanford.edu/realsimple/faust_strings/.

457

J. O. Smith, ``Audio FFT filter banks,'' in Proceedings of the 12th International Conference on Digital Audio Effects (DAFx-09), Como, Italy, September 1-4, Sept. 2009,
https://ccrma.stanford.edu/~jos/pdf/DAFx09-jos.pdf.

458

J. O. Smith, ``prime_power_delays(),'' Nov. 2010,
function checked into the FAUST master git repository, file effect.lib.

459

J. O. Smith, Spectral Audio Signal Processing,
https://ccrma.stanford.edu/~jos/sasp/, Dec. 2011,
online book.

460

J. O. Smith and J. S. Abel, ``The Bark bilinear transform,'' in Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, (New York), IEEE Press, Oct. 1995,
Session 8, paper 6, 4 pages. https://ccrma.stanford.edu/~jos/gz/bbtmh.tgz.

461

J. O. Smith and J. S. Abel, ``Bark and ERB bilinear transforms,'' IEEE Transactions on Speech and Audio Processing, pp. 697-708, Nov. 1999.

462

J. O. Smith and P. R. Cook, ``The second-order digital waveguide oscillator,'' in Proceedings of the 1992 International Computer Music Conference, San Jose, pp. 150-153, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1992,
https://ccrma.stanford.edu/~jos/wgo/.

463

J. O. Smith and B. Friedlander, ``Adaptive interpolated time-delay estimation,'' IEEE Transactions on Aerospace and Electronic Systems, vol. 21, pp. 180-199, Mar. 1985.

464

J. O. Smith and P. Gossett, ``A flexible sampling-rate conversion method,'' in Proc. 1984 Int. Conf. Acoustics, Speech, and Signal Processing (ICASSP-84), San Diego, vol. 2, (New York), pp. 19.4.1-19.4.2, IEEE Press, Mar. 1984,
expanded tutorial and associated free software available at the Digital Audio Resampling Home Page: https://ccrma.stanford.edu/~jos/resample/.

465

J. O. Smith and D. Rocchesso, ``Connections between feedback delay networks and waveguide networks for digital reverberation,'' in Proceedings of the 1994 International Computer Music Conference, Århus, pp. 376-377, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1995.

466

J. O. Smith and D. Rocchesso, ``Aspects of digital waveguide networks for acoustic modeling applications,'' http: //ccrma.stanford.edu/~jos/wgj/, December 19, 1997.

467

J. O. Smith and G. Scavone, ``The one-filter Keefe clarinet tonehole,'' in Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, (New York), IEEE Press, Oct. 1997.

468

J. O. Smith and X. Serra, ``PARSHL: A program for the analysis/synthesis of inharmonic sounds based on a sinusoidal representation,'' in Proceedings of the 1987 International Computer Music Conference, Champaign-Urbana, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1987,
Also available as Stanford Music Department Technical Report STAN-M-43. Expanded version available on-line at https://ccrma.stanford.edu/~jos/parshl/.

469

J. O. Smith and S. A. Van Duyne, ``Commuted piano synthesis,'' in Proceedings of the 1995 International Computer Music Conference, Banff, pp. 319-326, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1995,
https://ccrma.stanford.edu/~jos/pdf/svd95.pdf.

470

J. O. Smith, S. Serafin, J. Abel, and D. Berners, ``Doppler simulation and the leslie,'' in Proceedings of the COST-G6 Conference on Digital Audio Effects (DAFx-02), Hamburg, Germany, pp. 13-20, September 26 2002,
https://ccrma.stanford.edu/~jos/doppler/.

471

J. O. Smith III, ``Audio signal processing in FAUST,'' 2012-2023,
https://ccrma.stanford.edu/~jos/aspf/.

472

T. Smyth, J. S. Abel, and J. O. Smith, ``The estimation of birdsong control parameters using maximum likelihood and minimum action,'' in Proceedings of the Stockholm Musical Acoustics Conference (SMAC-03), http://www.speech.kth.se/smac03/, (Stockholm), Royal Swedish Academy of Music, Aug. 2003.

473

T. Smyth, J. S. Abel, and J. O. Smith, ``The feathered clarinet reed,'' in Proceedings of the Conference on Digital Audio Effects (DAFx-04), Naples, Italy, Oct. 2004.

474

Sondius Development Team, ``Sondius sound examples,'' 1993-1996,
http://ccrma.stanford.edu/~jos/pasp/Sound_Examples.html.

475

A. Spanias, T. Painter, and V. Atti, Audio Signal Processing and Coding,
New York: John Wiley and Sons, Inc., 2007.

476

J. Stautner and M. Puckette, ``Designing multichannel reverberators,'' Computer Music Journal, vol. 6, no. 1, pp. 52-65, 1982.

477

K. Steiglitz, A Digital Signal Processing Primer with Applications to Audio and Computer Music,
Reading MA: Addison-Wesley, 1996.

478

S. S. Stevens and H. Davis, Hearing: Its Psychology and Physiology,
American Inst. of Physics, for the Acoustical Society of America, 1983,
copy of original 1938 edition, http://asa.aip.org/publications.html.

479

T. Stilson, ``Forward-going wave extraction in acoustic tubes,'' in Proceedings of the 1995 International Computer Music Conference, Banff, pp. 517-520, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1995.

480

T. Stilson, Efficiently Variable Algorithms in Virtual-Analog Music Synthesis--A Root-Locus Perspective,
PhD thesis, Elec. Engineering Dept., Stanford University (CCRMA), June 2006,
https://ccrma.stanford.edu/~stilti/, https://www.amazon.com/dp/B0BZFPFW1W.

481

T. Stilson and J. O. Smith, ``Alias-free synthesis of classic analog waveforms,'' in Proceedings of the 1996 International Computer Music Conference, Hong Kong, pp. 332-335, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1996,
https://ccrma.stanford.edu/~stilti/.

482

T. Stilson and J. O. Smith, ``Analyzing the Moog VCF with considerations for digital implementation,'' in Proceedings of the 1996 International Computer Music Conference, Hong Kong, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1996,
https://ccrma.stanford.edu/~stilti/.

483

G. Strang and G. J. Fix, An Analysis of the Finite Element Method,
Englewood Cliffs, NJ: Prentice-Hall, 1973.

484

J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations,
Pacific Grove, CA: Wadsworth and Brooks, 1989.

485

H. W. Strube, ``Linear prediction on a warped frequency scale,'' Journal of the Acoustical Society of America, vol. 68, no. 4, pp. 1071-1076, 1980.

486

H. W. Strube, ``How to make an all-pass filter with a desired impulse response,'' IEEE Transactions on Acoustics, Speech, Signal Processing, vol. 30, no. 2, pp. 326-327, 1982.

487

H. W. Strube, ``Time-varying wave digital filters for modeling analog systems,'' IEEE Transactions on Acoustics, Speech, Signal Processing, vol. 30, no. 6, pp. 864-868, 1982.

488

R. D. Strum and D. E. Kirk, First Principles of Discrete Systems and Digital Signal Processing,
Reading MA: Addison-Wesley, 1988.

489

A. Stulov, ``Hysteretic model of the grand piano hammer felt,'' Journal of the Acoustical Society of America, vol. 97, pp. 2577-2585, Apr. 1995.

490

A. Stulov, ``Experimental and theoretical studies of piano hammer,'' in Proceedings of the Stockholm Musical Acoustics Conference (SMAC-03), http://www.speech.kth.se/smac03/, vol. I, pp. 175-178, 2003.

491

A. Stulov, ``Experimental and computational studies of piano hammers,'' Acta Acustica united with Acustica, vol. 91(6), pp. 1086-1097, 2005.

492

C. R. Sullivan, ``Extending the Karplus-Strong algorithm to synthesize electric guitar timbres with distortion and feedback,'' Computer Music Journal, vol. 14, no. 3, pp. 26-37, 1990.

493

J. Sundberg, ``Synthesis of singing by rule,'' in Current Directions in Computer Music Research (M. V. Mathews and J. R. Pierce, eds.), pp. 45-55, Cambridge, MA: MIT Press, 1989.

494

J. Sundberg, ``Synthesizing singing,'' in Representations of Musical Signals (G. De Poli, A. Picialli, and C. Roads, eds.), pp. 299-320, Cambridge, MA: MIT Press, 1991.

495

J. Sundberg, The Science of the Singing Voice,
Dekalb, Illinois: Northern Illinois University Press, 1987.

496

H. Suzuki, ``Model analysis of a hammer-string interaction,'' Journal of the Acoustical Society of America, vol. 82, pp. 1145-1151, Oct. 1987.

497

J. P. Thiran, ``Recursive digital filters with maximally flat group delay,'' IEEE Transactions on Circuit Theory, vol. 18, no. 6, pp. 4659-664, 1971.

498

T. Tolonen, ``Model-based analysis and resynthesis of acoustic guitar tones,'' Master's thesis, Helsinki University of Technology, Espoo, Finland, Jan. 1998,
Report 46, Laboratory of Acoustics and Audio Signal Processing.

499

T. Tolonen, V. Välimäki, and M. Karjalainen, ``Modeling of tension modulation nonlinearity in plucked strings,'' IEEE Transactions on Speech and Audio Processing, vol. SAP-8, pp. 300-310, May 2000.

500

C. Traube and J. O. Smith, ``Estimating the plucking point on a guitar string,'' in Proceedings of the International Conference on Digital Audio Effects (DAFx-00), Verona, Italy, Dec. 2000,
http://www.dafx.de/.

501

C. Traube and J. O. Smith, ``Estimating the fingering and the plucking points on a guitar string from a recording,'' in Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, (New York), IEEE Press, Oct. 2001.

502

L. Trautmann, B. Bank, V. Välimäki, and R. Rabenstein, ``Combining Digital Waveguide and Functional Transformation Methods for Physical Modeling of Musical Instruments,'' in the AES 22nd International Conference on Virtual, Synthetic and Entertainment Audio, (Espoo, Finland), pp. 307-316, June 15-17 2002.

503

L. Trautmann and R. Rabenstein, ``Stable systems for nonlinear discrete sound synthesis with the functional transformation method,'' in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, Orlando, Florida, USA, (New York), IEEE Press, May 2002.

504

P. P. Vaidyanathan, Multirate Systems and Filter Banks,
Prentice-Hall, 1993.

505

V. Välimäki, M. Laurson, and C. Erkut, ``Commuted waveguide synthesis of the clavichord,'' Computer Music Journal, vol. 27, pp. 71-82, Spring 2003.

506

V. Välimäki, Discrete-Time Modeling of Acoustic Tubes Using Fractional Delay Filters,
PhD thesis, Report no. 37, Helsinki University of Technology, Faculty of Electrical Engineering, Laboratory of Acoustic and Audio Signal Processing, Espoo, Finland, Dec. 1995,
http://www.acoustics.hut.fi/~vpv/publications/vesa_phd.html.

507

V. Välimäki, ``Discrete-time synthesis of the sawtooth waveform with reduced aliasing,'' IEEE Signal Processing Letters, vol. 12, no. 3, pp. 214-217, 2005.

508

V. Välimäki and A. Huovilainen, ``Antialiasing oscillators in subtractive synthesis,'' IEEE Signal Processing Magazine, vol. 24, pp. 116-125, Mar. 2007.

509

V. Välimäki and A. Huovilainen, ``Oscillator and filter algorithms for virtual analog synthesis,'' Computer Music Journal, vol. 30, pp. 19-31, summer 2007.

510

V. Välimäki and M. Karjalainen, ``Digital waveguide modeling of wind instrument bores constructed of truncated cones,'' in Proceedings of the 1994 International Computer Music Conference, Århus, pp. 423-430, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1994.

511

V. Välimäki and M. Karjalainen, ``Improving the Kelly-Lochbaum vocal tract model using conical tube sections and fractional delay filtering techniques,'' in Proc. 1994 International Conference on Spoken Language Processing (ICSLP-94), vol. 2, (Yokohama, Japan), pp. 615-618, IEEE Press, Sept. 18-22 1994.

512

V. Välimäki and T. Tolonen, ``Development and calibration of a guitar synthesizer,'' Journal of the Audio Engineering Society, vol. 46, Sept. 1998,
Proceedings of the 103rd Convention of the Audio Engineering Society, New York, Sept. 1997.

513

V. Välimäki, M. Karjalainen, and T. I. Laakso, ``Modeling of woodwind bores with finger holes,'' in Proceedings of the 1993 International Computer Music Conference, Tokyo, pp. 32-39, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1993.

514

V. Välimäki, T. I. Laakso, and J. Mackenzie, ``Elimination of transients in time-varying allpass fractional delay filters with application to digital waveguide modeling,'' in Proceedings of the 1995 International Computer Music Conference, Banff, pp. 327-334, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1995.

515

V. Välimäki, J. Huopaniemi, M. Karjalainen, and Z. Jánosy, ``Physical modeling of plucked string instruments with application to real-time sound synthesis,'' Journal of the Audio Engineering Society, vol. 44, pp. 331-353, May 1996.

516

V. Välimäki, T. Tolonen, and M. Karjalainen, ``Signal-dependent nonlinearities for physical models using time-varying fractional delay filters,'' in Proceedings of the 1998 International Computer Music Conference, Michigan, pp. 264-267, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1998.

517

V. Välimäki, M. Karjalainen, T. Tolonen, and C. Erkhut, ``Nonlinear modeling and synthesis of the kantele--a traditional finnish string instrument,'' in Proceedings of the 1999 International Computer Music Conference, Beijing, 1999.

518

V. Välimäki, H. Penttinen, J. Knif, M. Laurson, and C. Erkut, ``Sound synthesis of the harpsichord using a computationally efficient physical model,'' EURASIP Journal on Applied Signal Processing, vol. 7, pp. 934-948, 2004,
special issue on Model-Based Sound Synthesis.

519

V. Välimäki, J. Pakarinen, C. Erkhut, and M. Karjalainen, ``Discrete-time modelling of musical instruments,'' Reports on Progress in Physics, vol. 69, no. 1, 2005.

520

V. Välimäki, J. Nam, J. O. Smith, and J. S. Abel, ``Alias-suppressed oscillators based on differentiated polynomial waveforms,'' IEEE Transactions on Audio, Speech, and Language Processing, vol. 18, pp. 786-798, May 2010.

521

C. Vallette, ``The mechanics of vibrating strings,'' in Hirschberg et al. [198], pp. 115-183.

522

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, searchable at http://quod.lib.umich.edu/i/icmc/, 1993,
https://ccrma.stanford.edu/~jos/pdf/mesh.pdf.

523

S. A. Van Duyne and J. O. Smith, ``Developments for the commuted piano,'' in Proceedings of the 1995 International Computer Music Conference, Banff, pp. 335-343, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1995,
https://ccrma.stanford.edu/~jos/pdf/vds95.pdf.

524

S. A. Van Duyne and J. O. Smith, ``The tetrahedral waveguide mesh: Multiply-free computation of wave propagation in free space,'' in Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, (New York), pp. 9a.6.1-4, IEEE Press, Oct. 1995.

525

S. A. Van Duyne and J. O. Smith, ``The 3D tetrahedral digital waveguide mesh with musical applications,'' in Proceedings of the 1996 International Computer Music Conference, Hong Kong, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1996.

526

S. A. Van Duyne and J. O. Smith, ``The 3D tetrahedral digital waveguide mesh with musical applications,'' in Proceedings of the International Computer Music Conference, (Hong Kong), pp. 9-16, Aug. 1996.

527

S. A. Van Duyne, J. R. Pierce, and J. O. Smith, ``Traveling-wave implementation of a lossless mode-coupling filter and the wave digital hammer,'' in Proceedings of the 1994 International Computer Music Conference, Århus, pp. 411-418, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1994,
Also presented at the conference of the Acoustical Society of America, Nov., 1994.

528

M. E. Van Valkenburg, Introduction to Modern Network Synthesis,
New York: John Wiley and Sons, Inc., 1960.

529

M. O. Van Walstijn and D. Campbell, ``Discrete-time modelling of woodwind instrument bores using wave variables,'' Journal of the Acoustical Society of America, vol. 113, pp. 575-585, 2003.

530

M. van Walstijn and G. de Bruin, ``Conical waveguide filters,'' in Proceedings of the International Conference on Acoustics and Musical Research, (Ferrara, Italy), pp. 47-54, CIARM, May 1995.

531

M. van Walstijn and G. Scavone, ``The wave digital tonehole,'' in Proceedings of the 2000 International Computer Music Conference, Berlin, pp. 465-468, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 2000,
https://ccrma.stanford.edu/~jos/wdth/.

532

M. van Walstijn and J. O. Smith, ``Use of truncated infinite impulse response (TIIR) filters in implementing efficient digital waveguide models of flared horns and piecewise conical bores with unstable one-pole filters elements,'' in Proc. Int. Symp. Musical Acoustics (ISMA-98), Leavenworth, Washington, pp. 309-314, Acoustical Society of America, June 28 1998,
https://ccrma.stanford.edu/~jos/tiirts/.

533

M. O. van Walstijn, Discrete-Time Modelling of Brass and Reed woodwind Instruments with Application to Musical Sound Synthesis,
PhD thesis, Department of Physics and Astronomy, University of Edinburgh, 2002.

534

M. P. Verge, Aeroacoustics of Confined Jets with Applications to the Physical Modeling of Recorder-Like Instruments,
PhD thesis, Eindhoven University, 1995.

535

M. P. Verge and A. Hirschberg, ``Turbulence noise in flue instruments,'' in Proceedings of the International Symposium on Musical Acoustics (ISMA-95), Dourdan, France, (France), pp. 93-99, Société Français d'Acoustique, July 1995.

536

M. P. Verge, R. Caussé, and A. Hirschberg, ``A physical model of recorder-like instruments,'' in Proceedings of the 1995 International Computer Music Conference, Banff, pp. 37-44, Computer Music Association, searchable at http://quod.lib.umich.edu/i/icmc/, 1995.

537

C. Vergez and X. Rodet, ``Model of the trumpet functioning: Real time simulation and experiments with an artificial mouth,'' in Proceedings of the International Symposium on Musical Acoustics (ISMA-97), Edinburgh, Scotland, pp. 425-432, Aug. 1997.

538

C. Vergez and X. Rodet, ``Experiments with an artificial mouth for trumpet,'' Proceedings of the International Symposium on Musical Acoustics (ISMA-98), Leavenworth, Washington, 1998.

539

C. Vergez and X. Rodet, ``Dynamic systems and physical models of trumpet-like instruments analytical study and asymptotical properties,'' Acta Acustica, 2000.

540

C. Vergez and X. Rodet, ``New algorithm for nonlinear propagation of a sound wave application to a physical model of a trumpet,'' Journal of Signal Processing, 2000.

541

H. L. F. von Helmholtz, Die Lehre von den Tonempfindungen als Physiologische Grundlage für die Theorie der Musik,
Braunschweig: F. Vieweg und Sohn, 1863.

542

H. L. F. von Helmholtz, On the Sensations of Tone as a Physiological Basis for the Theory of Music,
New York: Dover, 1954,
English translation of 1863 (German) edition.

543

J. von Neumann, Mathematical Foundations of Quantum Mechanics,
Princeton University Press, 1932.

544

A. Wang and J. O. Smith, ``On fast FIR filters implemented as tail-canceling IIR filters,'' IEEE Transactions on Signal Processing, vol. 45, pp. 1415-1427, June 1997.

545

G. N. Watson, A Treatise on the Theory of Bessel Functions,
Cambridge University Press, 2 ed., 1944.

546

J. Wawrzynek, ``VLSI models for sound synthesis,'' in Current Directions in Computer Music Research (M. V. Mathews and J. R. Pierce, eds.), pp. 113-148, Cambridge, MA: MIT Press, 1989.

547

G. Weinreich, ``Coupled piano strings,'' Journal of the Acoustical Society of America, vol. 62, pp. 1474-1484, Dec 1977,
see also [18] and Scientific American, vol. 240, p. 94, 1979.

548

D. A. Wells, Lagrangian Dynamics,
New York: McGraw-Hill, 1967,
Schaum's Outline series.

549

E. M. Wenzel, ``Localization in virtual acoustic displays,'' Presence, vol. 1, pp. 80-107, Summer 1992.

550

R. E. Williamson, R. H. Crowell, and H. F. Trotter, Calculus of Vector Functions,
Englewood Cliffs, NJ: Prentice-Hall, 1972.

551

J. D. Wise, J. R. Caprio, and T. W. Parks, ``Maximum likelihood pitch estimation,'' IEEE Transactions on Acoustics, Speech, Signal Processing, vol. ASSP-24, pp. 418-423, Oct. 1976.

552

J. Woodhouse, ``On the playability of violins. Part I: Reflection functions. Part II: Minimum bow force and transients,'' Acustica, vol. 78, pp. 125-136,137-153, 1993.

553

J. Woodhouse, ``Bowed string simulation using a thermal friction model,'' Acta Acustica united with Acustica, vol. 89, pp. 355-368, 2003.

554

K. S. Yee, ``Numerical solution of initial boundary value problems involving Maxwell's equations,'' IEEE Trans. Antennas and Propagation, vol. 14, pp. 302-307, 1966.

555

B. Yegnanarayana, ``Design of recursive group-delay filters by autoregressive modeling,'' IEEE Transactions on Acoustics, Speech, Signal Processing, vol. 30, pp. 632-637, Aug. 1982.

556

D. Yeh and J. O. Smith III, ``Discretization of the '59 Fender Bassman tone stack,'' Proceedings of the Conference on Digital Audio Effects (DAFx-06), Montréal, Canada, Sept. 2006,
http://www.dafx.de/.

557

D. Yeh, J. S. Abel, A. Vladimirescu, and J. O. Smith, ``Numerical methods for simulation of guitar distortion circuits,'' Computer Music Journal, 2008,
http://www.mitpressjournals.org/toc/comj/32/2.

558

D. T. Yeh, Digital Implementation of Musical Distortion Circuits by Analysis and Simulation,
PhD thesis, CCRMA, Elec. Engineering Dept., Stanford University (CCRMA), June 2009,
https://ccrma.stanford.edu/~dtyeh/.

559

D. T. Yeh and J. O. Smith, ``Simulating guitar distortion circuits using wave digital and nonlinear state-space formulations,'' Proceedings of the Conference on Digital Audio Effects (DAFx-08), Helsinki University of Technology, Espoo, Finland, Sept. 1-4 2008,
http://www.dafx.de/.

560

D. Yeh, J. Abel, and J. Smith, ``Automated physical modeling of nonlinear audio circuits for real-time audio effects--part i: Theoretical development,'' Audio, Speech, and Language Processing, IEEE Transactions on, vol. 18, pp. 728 -737, may 2010.

561

M. M. J. Yekta, ``Equivalence of the Lagrange interpolator for uniformly sampled signals and the scaled binomially windowed shifted sinc function,'' Digital Signal Processing, vol. 19, pp. 838-842, Sept. 2009.

562

L. A. Zadeh and C. A. Desoer, Linear System Theory: The State Space Approach,
New York: McGraw-Hill, 1963,
reprinted by Krieger, 1979.

563

U. Zölzer, Digital Audio Signal Processing,
New York: John Wiley and Sons, Inc., 1999.