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Physically Inspired Models for the Synthesis of Stiff Strings with Dispersive Waveguides
Dipartimento di Scienze Fisiche,, Università di Napoli, Italy.
Dipartimento di Scienze Fisiche, Università di Napoli, Italy. (Sound and Video Technology)
Dipartimento di Scienze Fisiche, Università di Napoli, Italy.
2004 (English)In: EURASIP Journal on Advances in Signal Processing, ISSN 1687-6172, E-ISSN 1687-6180, Vol. 2004, no 7, 964-977 p.Article in journal (Refereed) Published
Abstract [en]

We review the derivation and design of digital waveguides from physical models of stiff systems, useful for the synthesis of sounds from strings, rods, and similar objects. A transform method approach is proposed to solve the classic fourth-order equations of stiff systems in order to reduce it to two second-order equations. By introducing scattering boundary matrices, the eigenfrequencies are determined and their n2 dependency is discussed for the clamped, hinged, and intermediate cases. On the basis of the frequency-domain physical model, the numerical discretization is carried out, showing how the insertion of an all-pass delay line generalizes the Karplus-Strong algorithm for the synthesis of ideally flexible vibrating strings. Knowing the physical parameters, the synthesis can proceed using the generalized structure. Another point of view is offered by Laguerre expansions and frequency warping, which are introduced in order to show that a stiff system can be treated as a nonstiff one, provided that the solutions are warped. A method to compute the all-pass chain coefficients and the optimum warping curves from sound samples is discussed. Once the optimum warping characteristic is found, the length of the dispersive delay line to be employed in the simulation is simply determined from the requirement of matching the desired fundamental frequency. The regularization of the dispersion curves by means of optimum unwarping is experimentally evaluated.

Place, publisher, year, edition, pages
Springer, 2004. Vol. 2004, no 7, 964-977 p.
Keyword [en]
physical models ; dispersive waveguides ; frequency warping
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-59415DOI: 10.1155/S1110865704402200OAI: oai:DiVA.org:liu-59415DiVA: diva2:351521
Note

special issue on Model-Based Sound Synthesis

Available from: 2010-09-14 Created: 2010-09-14 Last updated: 2017-12-12Bibliographically approved

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Evangelista, Gianpaolo

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  • apa
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