Plucked-string synthesis algorithms with tension modulation nonlinearity

Välimäki, Vesa; Tolonen, Tero; Karjalainen, Matti

doi:10.1109/icassp.1999.759860

Cited by 14 publications

(8 citation statements)

References 8 publications

(16 reference statements)

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“…This work was supported by the GETA Graduate School, Helsinki University of Technology, Jenny ja Antti Wihurin rahasto (the Foundation of Jenny and Antti Wihuri), and the Academy of Finland. Preliminary results of this study were reported in [1]. The associate editor coordinating the review of this manuscript and approving it for publication was Dr.-Ing.…”

Section: Introductionmentioning

confidence: 92%

Modeling of tension modulation nonlinearity in plucked strings

Tolonen¹,

Välimäki²,

Karjalainen³

2000

IEEE Trans. Speech Audio Process.

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In this paper, a nonlinear discrete-time model that simulates a vibrating string exhibiting tension modulation nonlinearity is developed. The tension modulation phenomenon is caused by string elongation during transversal vibration. Fundamental frequency variation and coupling of harmonic modes are among the perceptually most important effects of this nonlinearity. The proposed model extends the linear bidirectional digital waveguide model of a string. It is also formulated as a computationally more efficient single-delay-loop structure. A method of reducing the computational load of the string elongation approximation is described, and a technique of obtaining the tension modulation parameter from recorded plucked string instrument tones is presented. The performance of the model is demonstrated with analysis/synthesis experiments and with examples of synthetic tones available at http://www.acoustics.hut.fi/~ttolonen/tmstr_SAP/.

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Section: Introductionmentioning

confidence: 92%

Modeling of tension modulation nonlinearity in plucked strings

Tolonen¹,

Välimäki²,

Karjalainen³

2000

IEEE Trans. Speech Audio Process.

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“…Perhaps the simplest example of nonlinear behavior in the shell model (5) is the pitch glide, a common feature across many percussive instruments. The modeling of pitch glides, for synthesis, has been approached in the case of strings and membranes through a variety of methods [11], [29], [30]. Usually the pitch glide is downward, from the moment of impact excitation, reflecting stiffening behavior of the medium at higher vibration amplitudes (though upward pitch glides are also possible [4]).…”

Section: Pitch Glidesmentioning

confidence: 99%

Percussion Synthesis Based on Models of Nonlinear Shell Vibration

Bilbao

2010

IEEE Trans. Audio Speech Lang. Process.

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The synthesis of sound based on physical models of 2-D percussion instruments is problematic and has been approached only infrequently in the literature. Beyond the computational expense inherent to the simulation of 2-D systems, a deeper difficulty is in dealing with the strong nonlinearity exhibited by thin structures when struck-this nonlinearity leads to phenomena which are not captured, even approximately, by a linear model, and nearly all synthesis work is based on the assumption that the distributed resonating component of a musical instrument is linear. Perceptually, the effects of the vibration of a thin structure at high amplitudes can be heard as crashes, pitch glides, and the slow buildup of high-frequency energy characteristic of gongs. A large family of instruments may be described, approximately, as circular thin shells, of approximately spherical geometry, in which case a tractable PDE description, described here, is available. Time-domain finite-difference schemes, in radial coordinates, are a suitable method for synthesis. Stability conditions, numerical boundary conditions both at the edge and center, and implementation details are discussed, and simulation results are presented, highlighting the various perceptual effects mentioned above.

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“…A different approach to dynamic tension variations in string models has been recently proposed by Välimäki et al [11], [21]. They recast the resampling process induced by tension modulation into delay length modulation of a FIR line controlled by the buffer content.…”

Section: Fig 11mentioning

confidence: 99%

Fractionally addressed delay lines

Rocchesso

2000

IEEE Trans. Speech Audio Process.

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Abstract-While traditional implementations of variablelength digital delay lines are based on a circular buffer accessed by two pointers, we propose an implementation where a single fractional pointer is used both for read and write operations. On modern general-purpose architectures, the proposed method is nearly as efficient as the popular interpolated circular buffer, and it behaves well for delay-length modulations commonly found in digital audio effects. The physical interpretation of the new implementation shows that it is suitable for simulating tension or density modulations in wave-propagating media.

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Plucked-string synthesis algorithms with tension modulation nonlinearity

Cited by 14 publications

References 8 publications

Modeling of tension modulation nonlinearity in plucked strings

Modeling of tension modulation nonlinearity in plucked strings

Percussion Synthesis Based on Models of Nonlinear Shell Vibration

Fractionally addressed delay lines

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