Performance analysis of wave field simulation with the functional transformation method

Audio Engineering Society - 120th Convention Spring Preprints 2006

Volumn 4, Issue , 2006, Pages 1729-1743

  Petrausch, Stefan ^a   Rabenstein, Rudolf ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

1-D MODELS; 2-D WAVE; ACOUSTICAL WAVES; BLOCK MODELS; CLASSICAL METHODS; DIGITAL WAVEGUIDE MESH; DISCRETE SYSTEMS; FUNCTIONAL TRANSFORMATION METHOD; MODELING TECHNIQUE; PERFORMANCE ANALYSIS; SIMPLE GEOMETRIES; WAVE DIGITAL FILTERS; WAVE-FIELD SIMULATION; WORST CASE SCENARIO;

WAVEGUIDES;

TWO DIMENSIONAL;

EID: 84866496744     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. William F. Ames, Numerical Methods for Partial Differential Equations, Academic Press, New York, USA, 3 edition, 1977.
2. Parviz Moin, Fundamentals of Engineering Numerical Analysis, Cambridge University Press, New York, USA, Aug. 2001.
3. S. A. van Duyne and J. O. Smith, "Physical modeling with the 2-d digital waveguide mesh," in International Computer Music Conference (ICMC), Tokyo, Japan, Sept. 1993, pp. 40-47.
4. L. Savioja, T.J. Rinne, and T. Takala, "Simulation of room acoustics with a 3-d finite difference mesh," in Proc. Int. Computer Music Conference (ICMC '94), Aarhus, Denmark, Sept. 1994, pp. 463-466.
5. Lutz Trautmann and Rudolf Rabenstein, Digital Sound Synthesis by Physical Modeling using the Functional Transformation Method, Kluwer Academic Publishers, New York, USA, 2003.
6. Stefan Petrausch and Rudolf Rabenstein, "A simplified design of multidimensional transfer function models," in International Workshop on Spectral Methods and Multirate Signal Processing (SMMSP2004), Vienna, Austria, Sept. 2004, pp. 35-40.
7. Stefan Petrausch, José Escolano, and Rudolf Rabenstein, "A general approach to block-based physical modeling with mixed modeling strategies for digital sound synthesis," in Int. Conf. on Acoustics, Speech, and Signal Proc. (ICASSP), Philadelphia, PA, USA, Mar. 2005.
8. A. Fettweis, "Wave digital filters: Theory and practice," Proceedings of the IEEE, vol. 74, no. 2, pp. 270-327, 1986.
9. A. Fettweis, "Multidimensional wave digital principles: from filtering to numerical integration," in Int. Conference on Acoustics, Speech, and Signal Processing (ICASSP), Apr. 1994, vol. 4, pp. 173-181.
10. J. O. Smith, "Physical modeling using digital waveguides," Computer Music Journal, vol. 16, no. 4, pp. 74-91, 1992, Special Issue on Physical Modeling of Musical Instruments, Part I.
11. Stefan Petrausch and Rudolf Rabenstein, "Highly efficient simulation and visualization of acoustic wave fields with the functional transformation method," in Simulation and Visualization (SimVis), Otto von Guericke Universität, Magdeburg, Germany, Mar. 2005, pp. 279-290.
12. Stefan Petrausch and Rudolf Rabenstein, "Simulation of room acoustics via block-based physical modeling with the functional transformation method," in Workshop on Applications of Signal Processing to Audio and Acoustics (WAS-PAA), New Paltz, New York, USA, Oct. 2005.
13. Rolf Unbehauen, Grundlagen der Elektrotechnik 1, Springer Verlag, Berlin, Germany, 5 edition, 1999.
14. Stefan Petrausch and Rudolf Rabenstein, "Interconnection of state space structures and wave digital filters," IEEE Transactions on Circuits and Systems II, vol. 52, no. 2, pp. 90-93, Feb. 2005.
15. Philip M. Morse and Herman Feshbach, Methods of Theoretical Physics, Part I, McGraw-Hill, New York, USA, 1953.
16. Bernd Girod, Rudolf Rabenstein, and Alexander Stenger, Signals and Systems, John Wiley & Sons Ltd, West Sussex, England, 1997.