Digital Modeling of Bridge Driving-Point Admittances from Measurements on Violin-Family Instruments

TitleDigital Modeling of Bridge Driving-Point Admittances from Measurements on Violin-Family Instruments
Publication TypeConference Paper
Year of Publication2013
Conference NameStockholm Music Acoustics Conference 2013 & Sound and Music Computing Conference 2013
AuthorsMaestre, E., Scavone G., & Smith J.
AbstractWe present a methodology for digital modeling of D-dimensional driving-point bridge admittances from vibration measurements on instruments of the violin family. Our study, centered around the two-dimensional case for violin, viola, and cello, is based on using the modal framework to construct an admittance formulation providing physically meaningful and effective control over model parameters. In a first stage, mode frequencies and bandwidths are estimated in the frequency domain via solving a non-convex, constrained optimization problem. Then, mode amplitudes are estimated via semidefinite programming while enforcing passivity. We obtain accurate, low-order digital admittance models suited for real-time sound synthesis via physical models.
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