A Physical Model for Plate Reverberation

Bilbao, Stefan; Arcas, Kevin; Chaigne, Antoine

doi:10.1109/icassp.2006.1661238

Cited by 9 publications

(6 citation statements)

References 7 publications

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“…If the shell is assumed clamped near the center, over a circle of small radius, then simple boundary conditions corresponding to (9) are (14) and, as above, values of the grid functions at the center and first ring of grid points need not be stored in implementation.…”

Section: Numerical Boundary Conditionsmentioning

confidence: 99%

“…In the case of irregular geometries, finite-element methods are ideal, but given that various percussion instruments, such as cymbals and gongs, are well-described in a simple radial coordinate system, finite-difference methods are a relatively simple alternative. Finite-difference schemes for the linear vibration and reverberation of rectangular plates have been explored by various authors [12]- [14], and the nonlinear case has been described in [15].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Numerical Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Percussion Synthesis Based on Models of Nonlinear Shell Vibration

Bilbao

2010

IEEE Trans. Audio Speech Lang. Process.

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“…These responses are based on measurements and do not allow variations of physical parameters. Recently, preliminary results were published were the plate reverberation is simulated numerically [8,9]. However the damping terms in these simulations depend on arbitrary parameters which are not directly linked to geometrical or material properties of the system.…”

Section: Introductionmentioning

confidence: 99%

On the quality of plate reverberation

Arcas

Chaigne

2010

Applied Acoustics

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“…The spring reverb samples were recorded with the help of Giulio Moro. reverberation has been emulated with different approaches such as numerical simulation techniques, where a finite difference scheme [6,7,8] or a modal description [9] is derived from the differential equations that describe the motion of the plate; and hybrid digital filter-based algorithms [10,11,12], where convolutional impulse responses and feedback delay networks are used to model the desired impulse response. Similarly, modeling of spring reverberation has been explored as wave digital filters [13], to explicitly model the wave and dispersive propagation; numerical simulation techniques such as finite difference schemes [14,5,15], and nonphysical modeling techniques [16,17], where chains of allpass filters and varying delay lines are used to approximate the dispersive and reverberant features of spring reverb.…”

Section: Introductionmentioning

confidence: 99%

Modeling Plate and Spring Reverberation Using A DSP-Informed Deep Neural Network

Ramírez

Benetos

Reiss

2020

ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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Plate and spring reverberators are electromechanical systems first used and researched as means to substitute real room reverberation. Nowadays they are often used in music production for aesthetic reasons due to their particular sonic characteristics. The modeling of these audio processors and their perceptual qualities is difficult since they use mechanical elements together with analog electronics resulting in an extremely complex response. Based on digital reverberators that use sparse FIR filters, we propose a signal processinginformed deep learning architecture for the modeling of artificial reverberators. We explore the capabilities of deep neural networks to learn such highly nonlinear electromechanical responses and we perform modeling of plate and spring reverberators. In order to measure the performance of the model, we conduct a perceptual evaluation experiment and we also analyze how the given task is accomplished and what the model is actually learning.

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A Physical Model for Plate Reverberation

Cited by 9 publications

References 7 publications

Percussion Synthesis Based on Models of Nonlinear Shell Vibration

Percussion Synthesis Based on Models of Nonlinear Shell Vibration

On the quality of plate reverberation

Modeling Plate and Spring Reverberation Using A DSP-Informed Deep Neural Network

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