Simulation of Plucked Strings Exhibiting Tension Modeling Driving Force

Recently, a nonlinear discrete-time model that simulates a vibrating string exhibiting tension modulation has been presented. This paper elaborates the previous model by taking into account two phenomena: 1) coupling of the tension modulation force to the instrument body and 2) feedback of the tension modulation force to the vibrating string. The two phenomena are investigated by analysis of plucked string instrument tones. Sound synthesis examples are available at www.acoustics.hut.fi/ ttolonen/icmc99/ including tones by the proposed model, and by a linear model and a previous nonlinear model. The examples show that tension modulation coupling phenomena are important for the quality of synthesized tones and that the tones by the presented model are more natural than with the previous models.

[1]  Matti Karjalainen,et al.  Plucked-string synthesis algorithms with tension modulation nonlinearity , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[2]  Matti Karjalainen,et al.  Signal-dependent Nonlinearities for Physical Models Using Time-varying Fractional Delay Filters , 1998, ICMC.

[3]  Vesa Välimäki,et al.  Physical Modeling of Plucked String Instruments with Application to Real-Time Sound Synthesis , 1996 .

[4]  Matti Karjalainen,et al.  Analysis, modeling, and real-time sound synthesis of the kantele, a traditional Finnish string instrument , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  Julius O. Smith,et al.  Extensions of the Karplus-Strong Plucked-String Algorithm , 1983 .

[6]  Unto K. Laine,et al.  Splitting the Unit Delay - Tools for fractional delay filter design , 1996 .

[7]  John R. Pierce,et al.  A passive nonlinear digital filter design which facilitates physics-based sound synthesis of highly nonlinear musical instruments , 1995 .

[8]  Matti Karjalainen,et al.  Nonlinear Modeling and Synthesis of the Kantele - a Traditional Finnish String Instrument , 1999, ICMC.

[9]  Matti Karjalainen,et al.  Modeling of tension modulation nonlinearity in plucked strings , 2000, IEEE Trans. Speech Audio Process..

[10]  Neville H Fletcher,et al.  Nonlinear generation of missing modes on a vibrating string , 1984 .

[11]  Matti Karjalainen,et al.  Plucked-string models: From the Karplus-Strong algorithm to digital waveguides and beyond , 1998 .