Digital waveguides versus finite difference structures: equivalence and mixed modeling
Matti Karjalainen,Cumhur Erkut +1 more
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TLDR
A general digital signal processing (DSP)-oriented framework where the functional equivalence of these two approaches is systematically elaborated and the conditions of building mixed models are studied.Abstract:
Digital waveguides and finite difference time domain schemes have been used in physical modeling of spatially distributed systems. Both of them are known to provide exact modeling of ideal one-dimensional (1D) band-limited wave propagation, and both of them can be composed to approximate two-dimensional (2D) and three-dimensional (3D) mesh structures. Their equal capabilities in physical modeling have been shown for special cases and have been assumed to cover generalized cases as well. The ability to form mixed models by joining substructures of both classes through converter elements has been proposed recently. In this paper, we formulate a general digital signal processing (DSP)-oriented framework where the functional equivalence of these two approaches is systematically elaborated and the conditions of building mixed models are studied. An example of mixed modeling of a 2D waveguide is presented.read more
Citations
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Discrete-time modelling of musical instruments
TL;DR: Physical modelling techniques that can be used for simulating musical instruments are described, including some nonlinear and time-varying models and new results on the digital waveguide modelling of a nonlinear string.
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Room Acoustics Simulation Using 3-D Compact Explicit FDTD Schemes
TL;DR: The results indicate that the proposed 3-D interpolated wideband and isotropic schemes outperform directly related techniques based on Yee's staggered grid and standard digital waveguide mesh, and that the boundary formulations generally have properties that are similar to that of the basic scheme used.
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Efficient and Accurate Sound Propagation Using Adaptive Rectangular Decomposition
TL;DR: This paper presents a technique which relies on an adaptive rectangular decomposition of 3D scenes to enable efficient and accurate simulation of sound propagation in complex virtual environments, and utilizes an efficient implementation of the Discrete Cosine Transform on Graphics Processors to achieve at least a 100-fold performance gain.
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Acoustic Modeling Using the Digital Waveguide Mesh
TL;DR: A considerable review of how the DWM has been applied to acoustic modeling and sound synthesis problems, including new 2-D object synthesis and an overview of recent research activities in articulatory vocal tract modeling, RIR synthesis, and reverberation simulation are provided.
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Real-Time Dynamic Articulations in the 2-D Waveguide Mesh Vocal Tract Model
TL;DR: Two methods of applying the area function to the 2-D digital waveguide mesh vocal tract model are presented here and it is shown that this impedance mapping approach allows for stable dynamic shape changes and also permits a reduction in sampling frequency leading to real-time interaction with the model.
References
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Book
Finite Difference Schemes and Partial Differential Equations
TL;DR: A survey of real analysis can be found in this article, where the authors present a survey of results from complex analysis in higher dimensions, including linear iterative methods and matrix and vector analysis.
Book
Linear Prediction of Speech
John E. Markel,A. Gray +1 more
TL;DR: Speech Analysis and Synthesis Models: Basic Physical Principles, Speech Synthesis Structures, and Considerations in Choice of Analysis.
Book
The Physics of Musical Instruments
TL;DR: In this paper, the authors present a survey of the materials for musical instruments and their use in sound generation by Reed and Lip Vibrations, and their application to musical instruments.
Journal ArticleDOI
Wave digital filters: Theory and practice
TL;DR: Wave digital filters (WDFs) as discussed by the authors are modeled after classical filters, preferably in lattice or ladder configurations or generalizations thereof, and have very good properties concerning coefficient accuracy requirements, dynamic range, and especially all aspects of stability under finite-arithmetic conditions.