Companion Page to Digital Waveguides versus Finite Difference Structures: Equivalence and Mixed Modeling

Companion Page to "Digital Waveguides versus Finite Difference Structures: Equivalence and Mixed Modeling"

This web companion page contains demonstration programs and sound examples related to the paper "Digital Waveguides versus Finite Difference Structures: Equivalence and Mixed Modeling" by M. Karjalainen and C. Erkut.

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.
Sound Example
Hybrid Modeling sound Example: 1D k-model string excited by a wave digital hammer .
Code Examples
MATLAB tools demonstrating 1D modeling examples discussed in the paper. A pd-patch generated by BlockCompiler that corresponds to the 1-D K-model structure and the KW-converter, as illustrated in Figure 5.
Further reading
M. Karjalainen and C. Erkut,"Digital Waveguides versus Finite Difference Structures: Equivalence and Mixed Modeling", in EURASIP J. Applied Signal Processing, Volume 2004, Number 7, pp. 978-989, 15 June 2004. C. Erkut and M. Karjalainen, "Finite Difference Method vs. Digital Waveguide Method in String Instrument Modeling and Synthesis," in Proceedings of the International Symposium on Musical Acoustics (ISMA 2002), Mexico City, Mexico, December 9-13, 2002. C. Erkut and M. Karjalainen, "Virtual Strings Based on a 1-D FDTD Waveguide Model", in Proceedings of the Audio Engineering Society 22nd International Conference, Espoo, Finland, June 15-17, 2002, pp. 317-323. Karjalainen, M., ''1-D Digital Waveguide Modeling for Improved Sound Synthesis,'' in Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2002), Orlando, Florida, USA, May 13-17, 2002.

Last modified: Fri Jul 02 14:02:27 FLE Daylight Time 2004 < Feedback >

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