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IEEE Transactions on Audio, Speech and Language Processing

dc.contributor.authorBilbao, Stefan
dc.date.accessioned2010-09-13T13:52:55Z
dc.date.available2010-09-13T13:52:55Z
dc.date.issued2010-05
dc.identifier.issn1063-6676en
dc.identifier.urihttp://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5208257en
dc.identifier.urihttp://hdl.handle.net/1842/3720
dc.description.abstractThe 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.en
dc.language.isoenen
dc.publisherIEEE Signal Processing Societyen
dc.subjectsound synthesisen
dc.subjectphysical modelingen
dc.subjectpercussionen
dc.subjectnonlinear distributed systemsen
dc.subjectmusical acousticsen
dc.subjectgongsen
dc.subjectfinite-difference schemesen
dc.subjectcymbalsen
dc.titlePercussion synthesis based on models of nonlinear shell vibrationen
dc.typeArticleen
dc.identifier.doi10.1109/TASL.2009.2029710en
rps.issue4en
rps.volume18en
rps.titleIEEE Transactions on Audio, Speech and Language Processingen
dc.extent.pageNumbers872-880en
dc.date.updated2010-09-13T13:52:56Z
dc.identifier.eIssn1558-7916en


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