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Analyse et synthèse de sons de piano par modèles physiques et de signaux

Abstract : We have designed a piano sound synthesis model using both physical and signal models. Our model accurately reproduces the tone of the instrument by simulating the main physical phenomena involved in the sound production. We first made a set of measurements on an experimental setup and on a real grand piano. For each note and several dynamic levels, we measured the hammer velocity and recorded both the bridge acceleration and the string displacement. Several synthesis models simulating the propagation of transverse waves in the piano string and using the hammer string interaction have been compared. We have first studied the physical model frames in term of a partial differential equation (PDE). However the sound synthesis realized using such models lacks realism. To improve it, we used optimization techniques, calculating the values of each of the parameters to be adjusted so that the synthesized sound perceptually matches the recorded sound as closely as possible. An improvement of the quality has been obtained, although it is not totally satisfying. We have further studied « digital waveguide models ». Those models accurately and efficiently simulate propagation of waves in a structure. We have explicitly given the relationship between the parameters of the digital waveguide model and the physical parameters of the EDP. By coupling several digital waveguides, we are capable of simulating beating phenomena. Moreover, we deal with the resolution of the inverse problem, i.e. calculating the parameters of the coupled waveguide model from modal parameters of the recorded signal. This very fine calibration of the model gives a precise resynthesis the original sounds. The source of the digital waveguide model, which behaviour is directly related to the hammer string interaction, has been modeled using a signal model based on a subtractive synthesis technique. This model was finally implemented in real-time. The virtual instrument constitutes a digital piano which tones can be modified.
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Contributor : Julien Bensa <>
Submitted on : Friday, October 17, 2003 - 10:47:41 AM
Last modification on : Thursday, January 23, 2020 - 6:22:03 PM
Long-term archiving on: : Friday, April 2, 2010 - 7:00:43 PM


  • HAL Id : tel-00003588, version 1


Julien Bensa. Analyse et synthèse de sons de piano par modèles physiques et de signaux. Acoustics [physics.class-ph]. Université de la Méditerranée - Aix-Marseille II, 2003. English. ⟨tel-00003588⟩



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