A General Approach to Block-Based Physical Modeling with Mixed Modeling Strategies for Digital Sound Synthesis

Petrausch, Stefan; Escolano, José; Rabenstein, Rudolf

doi:10.1109/icassp.2005.1415636

Cited by 8 publications

(8 citation statements)

References 5 publications

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“…In this paper, the FTM should be used to model and discretize the block models, which is not based on WDF principles. A solution of this problem is a recently introduced technique for the interconnection of arbitrary discrete state space structures with wave digital filters referenced in [3]. With a slight modification of the block models discrete structure, connection of FTM blocks to the WDF interaction topology is possible.…”

Section: Discrete Realizationmentioning

confidence: 99%

“…A simulation tool using this block wise description has to face two principle problems: 1) the correct physical interaction of the blocks has to be guaranteed, 2) the interaction condition has to be realized in the discrete system. The solution of these problems according to [3] is described in the sequel.…”

Section: Block Based Approachmentioning

confidence: 99%

“…The starting point to proof correct physical interaction, is a unified system description as done in [3]. As the physical model is described by a set of linear PDEs, one can always introduce additional auxiliary variables to formulate a set of PDE with first order spatial derivatives only.…”

Section: Correct Interactionmentioning

confidence: 99%

“…One approach suitable for finite difference schemes and wave guide implementations can be found in [2]. A more general approach which allows almost arbitrary modeling techniques can be found in [3]. Its feasibility for the wave equation with FTM block models has already been proven in [4].…”

Section: Introductionmentioning

confidence: 98%

“…Therefore in this paper a simulation tool for room acoustics based on block based modeling as described in [3] with blocks modeled with the FTM as described in [1] is demonstrated. Focusing on 2D wave fields, a brief review of the approach to block based modeling is given in section 2.…”

Section: Introductionmentioning

confidence: 99%

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Wave Field Simulation with the Functional Transformation Method

Petrausch

Rabenstein

2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings

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The Functional Transformation Method (FTM) provides a frequency domain based analytic solution of arbitrary linear partial differential equation. For wave field simulations however, its application was so far restricted to simple geometries as the FTM involves a search for the eigenmodes of the model. Recently so called block based modeling algorithms were introduced, that follow a divide-and-conquer approach. A complex geometry is split into several simple elementary blocks. These blocks are solved and discretized separately, while their connection is realized in the discrete system during run-time. In this paper a 2D wave field simulation program based on block based modeling is demonstrated. Elementary block models are solved with the FTM and can be connected together to create complex 2D geometries. The complete system benefits from the advantages of the FTM (e.g. dispersionfree simulations), while the complexity of the geometry fits the needs of typical CAD drawings.

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Section: Discrete Realizationmentioning

confidence: 99%

Section: Block Based Approachmentioning

confidence: 99%

Section: Correct Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Wave Field Simulation with the Functional Transformation Method

Petrausch

Rabenstein

2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings

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Discrete-time modelling of musical instruments

Välimäki¹,

Pakarinen²,

Erkut³

et al. 2005

Rep. Prog. Phys.

115

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This article describes physical modelling techniques that can be used for simulating musical instruments. The methods are closely related to digital signal processing. They discretize the system with respect to time, because the aim is to run the simulation using a computer. The physics-based modelling methods can be classified as mass-spring, modal, wave digital, finite difference, digital waveguide and source-filter models. We present the basic theory and a discussion on possible extensions for each modelling technique. For some methods, a simple model example is chosen from the existing literature demonstrating a typical use of the method. For instance, in the case of the digital waveguide modelling technique a vibrating string model is discussed, and in the case of the wave digital filter technique we present a classical piano hammer model. We tackle some nonlinear and time-varying models and include new results on the digital waveguide modelling of a nonlinear string. Current trends and future directions in physical modelling of musical instruments are discussed.

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Simulation of room acoustics via block-based physical modelingwith the functional transformation method

Petrausch

Rabenstein

IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 2005.

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A General Approach to Block-Based Physical Modeling with Mixed Modeling Strategies for Digital Sound Synthesis

Cited by 8 publications

References 5 publications

Wave Field Simulation with the Functional Transformation Method

Wave Field Simulation with the Functional Transformation Method

Discrete-time modelling of musical instruments

Simulation of room acoustics via block-based physical modelingwith the functional transformation method

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