VALIMAKI ETAL.PAPERS[23] M. Karjalainen, Ed., "<strong>Modeling</strong> and Synthesis oja, J. Huopaniemi, T. Huotilainen, and M. Karja<strong>of</strong><strong>String</strong> <strong>Instruments</strong>," URL: http://www.hut.fi/HUT/ lainen, "An Integrated System for Virtual Audio Real-Acoustics/stringmodels/(1996). ity," <strong>to</strong> be presented at the 100th Convention <strong>of</strong> the[24] C. R. Sullivan, "Extending theKarplus-Strong Audio Engineering Society, Copenhagen, DenmarkAlgorithm <strong>to</strong> Synthesize Electric Guitar Timbres <strong>with</strong> (1996 May 11-14).Dis<strong>to</strong>rtion and Feedback," Computer MusicJ., vol. 14, [37] M. Karjalainen, J. Huopaniemi, and V. Viilino.3, pp. 26-37 (1990).miiki, "Direction-Dependent <strong>Physical</strong> <strong>Modeling</strong> <strong>of</strong> Mu-[25] T. I. Laakso, V. Viilimiiki, M. Karjalainen, and sical <strong>Instruments</strong>," in Proc. 15th Int. Congr. on Acous-U. K. Laine, "Splitting the Unit Delay--Tools for Frae- tics (Trondheim, Norway, 1995 June 26-30), vol. III,tional Delay Filter Design," IEEE Signal Process. Mag., pp. 451-454.vol. 13, pp. 30-60 (1996 Jan.).[38] S. A. Van Duyne, J. R. Pierce, and J. O. Smith,[26] T. I. Laakso, V. Viilim'aki, M. Karjalainen, and "Traveling Wave Implementation <strong>of</strong> a Lossless Mode-U. K. Laine, "Real-Time Implementation Techniques Coupling Filter and the Wave Digital Hammer," in Proc.for a Continuously Variable Digital Delay in <strong>Modeling</strong> 1994 Int. Computer Music Conf. (Aarhus, Denmark,Musical <strong>Instruments</strong>," in Proc. 1992 Int. ComputerMu- 1994 Sept. 12-17), pp. 411-418.sic Conf. (San Jose, CA, 1992 Oct.), pp. 140-141. [39] L. R. Rabiner, "On the Use <strong>of</strong> Au<strong>to</strong>correlation[27] V. V_ilim'fiki, T. I. Laakso, and J. Mackenzie, Analysis for Pitch Detection," IEEE Trans. Acoust.,"Elimination <strong>of</strong> Transients in Time-varying All-pass Speech, SignalProcess., vol. 25, pp. 24-33 (1977 Feb.).Fractional Delay Filters <strong>with</strong> <strong>Application</strong> <strong>to</strong> Digital [40] L. R. Rabiner, M. R. Sambur, and C. E.Waveguide <strong>Modeling</strong>," in Proc. 1995 Int. Computer Schmidt, "<strong>Application</strong>s <strong>of</strong> a Nonlinear Smoothing Algo-Music Conf. (Banff, Alta., Canada, 1995 Sept. 3-7), rithm <strong>to</strong> Speech Processing," IEEE Trans. Acoust.pp. 327-334. Speech, Signal Process., vol. 23, pp. 552-557 (1975[28] V. V_ilim_iki, "Discrete-Time <strong>Modeling</strong> <strong>of</strong> Dec.).Acoustic Tubes Using Fractional Delay Filters," doc- [41] J. O. Smith and X. Serra, "PARSHL: An Analy<strong>to</strong>ralthesis, Helsinki University <strong>of</strong> Technology, Labora- sis/Synthesis Program for Non-harmonic Sounds Based<strong>to</strong>ry <strong>of</strong> Acoustics and Audio Signal Processing, Espoo, on a Sinusoidal Representation," in Proc. 1987 Int.Finland, Rep. 37 (1995 Dec.). computer Music Conf. (Urbana, IL, 1987 Aug.), pp.[29] A. Paladin and D. Rocchesso, "A Dispersive 290-297.Resona<strong>to</strong>r in Real-Time on MARS Workstation," in [42] X. Serra, "A System for Sound Analysis/Trans-Proc. 1992 Int. Computer Music Conf. (San Jose, CA, form/Synthesis Based on a Deterministic plus S<strong>to</strong>chastic1992 Oct.), pp. 146-149. Decomposition," Ph.D. thesis, CCRMA, Dept. <strong>of</strong> Mu-[30] S. A. Van Duyne and J. O. Smith, "A Simplifed sic, Stanford University, Stanford, CA, Rep. STAN-M-Approach <strong>to</strong> <strong>Modeling</strong> Disperion Caused by Stiffness in 58 (1989 Oct.).<strong>String</strong> and Plates," in Proc. 1994 Int. Computer Music [43] J. O. Smith, personal communication (Espoo,Conf. (Aarhus, Denmark, 1994 Sept. 12-17), pp. Finland, 1993 Aug.).407-410. [44] K. A. Legge and N. H. Fletcher, "Nonlinear[31] J. O. Smith and S. Van Duyne, "Commuted Pi- Generation <strong>of</strong> Missing Modes on a Vibrating <strong>String</strong>," J.ano Synthesis," in Proc. 1995 Int. Computer Music Acoust. Soc. Am., vol. 76, pp. 5-12 (1984 July).Conf. (Banff, Alta., Canada, 1995 Sept. 3-7), pp. [45] K. Bradley, M. Cheng, and V. L. S<strong>to</strong>nick, "Au-335-342. <strong>to</strong>mated Analysis and Computationally Efficient Synthe-[32] S. Van Duyne and J. O. Smith, "Developments sis <strong>of</strong> Acoustic Guitar <strong>String</strong>s and Body," in Proc. 1995for the Commuted Piano," in Proc. 1995 Int. Computer IEEE ASSP Workshop on <strong>Application</strong>s <strong>of</strong> Signal Pro-Music Conf. (Banff, Alta., Canada, 1995 Sept. 3-7), cessing <strong>to</strong> Audio and Acoustics (New Paltz, NY, 1995pp.319-326.Oct.).[33] A. Chaigne, A. Askenfelt, and E. Jansson, [46] J. Huopaniemi, Ed., "HUT Acoustics Labora-"Time Domain Simulations <strong>of</strong> <strong>String</strong> <strong>Instruments</strong>. A <strong>to</strong>ry Sound Examples," URL: http://www.hut.fi/HUT/Link between <strong>Physical</strong> <strong>Modeling</strong> and Musical Percep- Acoustics/sounddemos/(1996).tion," J. Phys. IV, Coll. C1, Suppl. <strong>to</strong> J Phys. III, vol. [47] M. Karjalainen, "Object-Oriented Programming2, pp. C1-51-C1-54 (1992 Apr.). <strong>of</strong> DSP Processors: A Case Study <strong>of</strong> QuickC30," in[34] J. Huopaniemi, M. Karjalainen, V. Vfilim_iki, Proc. 1992 IEEE Int. Conf. on Acoustics, Speech, andand T. Huotilainen, "Virtual <strong>Instruments</strong> in Virtual Signal Processing (ICASSP'92) (San Francisco, CA,Rooms--A Real-Time Binaural Room Simulation Envi- 1992 Mar. 23-26), vol. V, pp. 601-604.ronment for <strong>Physical</strong> Models <strong>of</strong> Musical <strong>Instruments</strong>," [48] J. O. Smith, "Digital Waveguide <strong>Modeling</strong> <strong>of</strong>in Proc. 1994 Int. C.omputerMusic Conf. (Aarhus, Den- Musical <strong>Instruments</strong>," CCRMA, Stanford Universitymark, 1994 Sept. 12-17), pp. 455-462. (Stanford, CA, 1993 July 24), unpublished.[35] M. Karjalainen and J. O. Smith, "Body Model- [49] Z. Ifinosy, M. Karjalainen, and V. V_ilim'fiki,ing Techniques for <strong>String</strong> Instrument Synthesis," <strong>to</strong> be "Intelligent Synthesis Control <strong>with</strong> <strong>Application</strong>s <strong>to</strong> apresented at the 1996 Int. Computer Music Conf., Hong <strong>Physical</strong> Model <strong>of</strong> the Acoustic Guitar," in Proc. 1994Kong (1996 Aug. 19-24). Int. Computer Music Conf. (Aarhus, Denmark, 1994[36] T. Takala, R. H_inninen, V. V_ilim_iki, L. Savi- Sept. 12-17), pp. 402-406.352 J.AudioEng.Soc.,Vol.44,No.5,1996May
PAPERSPHYSICALMODELINGOFPLUCKEDSTRINGINSTRUMENTSTHE AUTHORS!V. Viilim'fiki J. Huopaniemi M. Karjalainen Z. JlinosyVesa Viilimiiki was born 1968 May 12 in Kuorevesi, ber <strong>of</strong> the IEEE, the ICMA, the Acoustical Society <strong>of</strong>Finland. He studied acoustics and digital signal pro- Finland, and the Polar Bear Club Finland.cessing and received the degrees <strong>of</strong> M.Sc. (1992), Licentiatein Technology (1994), and Doc<strong>to</strong>r <strong>of</strong> Technol- ·ogy (1995) from the Helsinki University <strong>of</strong> Technology, Matti Karjalainen was born in Hankasalmi, Finland,Espoo, Finland. He was <strong>with</strong> the Labora<strong>to</strong>ry <strong>of</strong> Acous- in 1946. He received the M.Sc. and the Dr. Tech. deticsand Audio Signal Processing <strong>of</strong> the university from grees in electrical engineering from the Tampere Uni-1990 <strong>to</strong> 1995 working first as a research assistant and versity <strong>of</strong> Technology in 1970 and 1978, respectively.later as a research scientist. His research activities in- His doc<strong>to</strong>ral thesis dealt <strong>with</strong> speech synthesis by rulecluded sound synthesis using physical models and digital in Finnish.filter design. From 1980 he was an associate pr<strong>of</strong>essor and from 1986Dr. Viilimfiki is currently a postdoc<strong>to</strong>ral research fel- he has been a pr<strong>of</strong>essor in acoustics at the Helsinki Univerlowat the School <strong>of</strong> Electronic and Manufacturing Sys- sity <strong>of</strong> Technology in the faculty <strong>of</strong> Electrical Engineering.terns Engineering, University <strong>of</strong> Westminster, London, His research activities have covered speech synthesis,UK, where he is developing signal processing algo- analysis, and recognition, audi<strong>to</strong>ry modeling, DSP hardrithmsthat employ nonuniform sampling and fractional ware, s<strong>of</strong>tware, and programming environments, as wellsample delays. He is a member <strong>of</strong> the Audio Engineering as acoustics and modeling <strong>of</strong> musical instruments.Society, the Institute <strong>of</strong> Electrical and Electronics Engi- Pr<strong>of</strong>essor Karjalainen is a member <strong>of</strong> the IEEE, theneers (IEEE), the International Computer Music Associ- ASA, the AES, the ICMA, the Acoustical Society <strong>of</strong>ation (ICMA), the Acoustical Society <strong>of</strong> Finland, and Finland, and the Polar Bear Club Finland.the Polar Bear Club Finland.· Zoltfin Jfinosy was born in Budapest, Hungary, inJyri Huopaniemi was born in Helsinki, Finland, in 1967. He received his M.Sc. degree in electrical engi-1968. He received an M.Sc. degree in electrical engi- neering from the Technical University <strong>of</strong> Budapest inneering from the Helsinki University <strong>of</strong> Technology 1992. His thesis dealt <strong>with</strong> computer processing <strong>of</strong> re-(HUT) in 1995. He is currently a Ph.D. student at the producing piano rolls.HUT majoring in acoustics, audio signal processing, From 1992 <strong>to</strong> 1995 he has been a Ph.D. student atand digital media. Mr. Huopaniemi has worked as a the Technical University <strong>of</strong> Budapest, working on intelresearchassistant and a research scientist at the Labora- ligent control <strong>of</strong> physical model based sound synthesis.<strong>to</strong>ry <strong>of</strong> Acoustics and Audio Signal Processing <strong>of</strong> the His main areas <strong>of</strong> interest are digital audio signal pro-HUT since 1993. His research activities include model- cessing, sound synthesis, and stereo pho<strong>to</strong>graphy.based sound synthesis and analysis techniques, spatial From 1996 Mr. J_inosy has been <strong>with</strong> Novotrade S<strong>of</strong>thearingand auralization (3-D sound), and room acous- ware Ltd. He is involved in 3-D computer graphics andtics modeling,game programming.He is a member<strong>of</strong> the AES andMr. Huopaniemi is a member <strong>of</strong> the AES and the the IEEE Computer Society Technical Committee onsecretary <strong>of</strong> the AES Finnish Section. He is also a mem- Computer Generated Music.J. AudioEng.Soc.,Vol.44, No.5, 1996May 353