A phase grating approach to modeling surface diffusion in FDTD room acoustics simulations

IEEE Transactions on Audio, Speech and Language Processing

Volumn 19, Issue 3, 2011, Pages 528-537

  Kowalczyk, Konrad ^a,c   Van Walstijn, Maarten ^a   Murphy, Damian ^b  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^b UNIVERSITY OF YORK   (United Kingdom)

^c UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Acoustic refraction; acoustic scattering; acoustic signal processing; architectural acoustics; digital filters; finite difference time domain (FDTD) methods; fractals

Indexed keywords

ACOUSTIC SCATTERING; ACOUSTIC SIGNALS; ALL-PASS FILTER; BOUNDARY SURFACES; BROWNIAN NOISE; FINITE DIFFERENCE TIME-DOMAIN; HIGH FREQUENCY; IRREGULAR SURFACE; MEASURED DATA; MODELING TECHNIQUE; NUMERICAL RESULTS; PHASE GRATING; ROOM ACOUSTICS; SMALL VARIATIONS; SOUND SCATTERING; TWO PARAMETER; WELL DEPTH;

ACOUSTIC FIELD MEASUREMENT; ACOUSTIC IMPEDANCE; ACOUSTIC SIGNAL PROCESSING; ACOUSTIC WAVES; ARCHITECTURAL ACOUSTICS; DIGITAL FILTERS; FINITE DIFFERENCE TIME DOMAIN METHOD; FRACTALS; REFRACTION; SIGNAL PROCESSING; SPECTRAL DENSITY; SURFACE ROUGHNESS;

ACOUSTIC WAVE SCATTERING;

EID: 78649983222     PISSN: 15587916     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASL.2010.2051830     Document Type: Article

References (31)

1. U. M. Svensson, "Modelling acoustic spaces for audio virtual reality," in Workshop Model Based Proc. and Coding of Audio (MPCA), Leuven, Belgium, Nov. 2002, pp. 109-116.
2. T. J. Cox and Y. W. Lam, "Prediction and evaluation of the scattering from quadratic residue diffusers," J. Acoust. Soc. Amer., vol. 95, no. 1, pp. 297-305, 1994.
3. T. J. Cox and Y. W. Lam, "Evaluation of methods for predicting scattering from simple rigid panels," Appl. Acoust., vol. 40, pp. 123-140, 1993.
4. H. Kuttruff, Room Acoustics. London, U.K.: Applied Science Publishers, 1973.
5. Y. W. Lam, "A comparison of three diffuse reflection modeling methods used in room acoustics computer models," J. Acoust. Soc. Amer., vol. 100, no. 4, pp. 2181-2192, 1996.
6. M. Vörlander, "International round robin on room acoustical computer simulations," in Proc. Int. Congr. Acoust., Trondheim, Norway, Jun. 1995, pp. 689-692.
7. T. Yokota, S. Sakamoto, and H. Tachibana, "Visualization of sound propagation and scattering in rooms," Acoust. Sci. Tech., vol. 23, no. 1, pp. 40-46, 2002.
8. J. Redondo, R. Picó, and B. Roig, "Time domain simulation of sound diffusers using finite-difference schemes," Acta Acust. United With Acust., vol. 93, no. 12, pp. 611-622, 2007.
9. J. de Poorter and D. Botteldooren, "Acoustical finite-difference time-domain simulations of subwavelength geometries," J. Acoust. Soc. Amer., vol. 104, no. 3, pp. 1171-1177, 1998.
10. S. van Duyne and J. O. Smith, "The 2-D digital waveguide mesh," in Proc. IEEE Workshop Applicat. Signal Process. Audio Acoust., New Paltz, NY, Oct. 1993, pp. 177-180.
11. K. Lee and J. O. Smith, "Implementation of a highly diffusing 2-D digital waveguide mesh with a quadratic residue diffuser," in Proc. Int. Comput. Music Conf. (ICMC), Miami, FL, Nov. 2004, pp. 309-315.
12. S. Shelley and D. T. Murphy, "The modeling of diffuse boundaries in the 2-D digital waveguide mesh," IEEE Trans. Audio, Speech, Lang. Process., vol. 16, no. 3, pp. 651-665, Mar. 2008.
13. S. Shelley, "Diffuse boundary modelling in the digital waveguide mesh," Ph.D. dissertation, Univ. of York, York, U.K., Nov. 2007.
14. K. Kowalczyk and M. van Walstijn, "Modeling frequency-dependent boundaries as digital impedance filters in FDTD and K-DWM room acoustics simulations," J. Audio Eng. Soc., vol. 56, no. 7/8, pp. 569-583, 2008.
15. J. Laird, P. Masri, and N. Canagarajah, "Modelling diffusion at the boundary of a digital waveguide mesh," in Proc. Int. Comput. Music Conf. (ICMC), Hong Kong, Oct. 1999, pp. 492-495.
16. M. R. Schroeder, "Binaural dissimilarity and optimum ceilings for concert halls: More lateral sound diffusion," J. Acoust. Soc. Amer., vol. 65, no. 4, pp. 958-963, 1979.
17. T. J. Cox and P. D'Antonio, Acoustic Absorbers and Diffusers: Theory, Design and Application. London, U.K.: Spon, 2004.
18. T. J. Cox and P. D'Antonio, "Fractal sound diffusers," 103rd Convention Audio Eng. Soc.. New York, Sep. 1997, Preprint 4578.
19. J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations. Pacific Grove, CA: Wadsworth& Brooks, 1989.
20. S. Bilbao, Wave and Scattering Methods for Numerical Simulation. London, U.K.: Wiley, 2004.
21. M. Karjalainen and C. Erkut, "Digital waveguide vs. finite difference schemes: Equivalence and mixed modeling," EURASIP J. Appl. Signal Process., vol. 7, pp. 978-989, Jun. 2004.
22. M. E. Delany and E. N. Bazley, "Acoustical properties of fibrous absorbent materials," J. Appl. Acoust., vol. 3, pp. 105-116, 1970.
23. K. Kowalczyk and M. van Walstijn, "Formulation of locally reacting surfaces in FDTD/K-DWMmodelling of acoustic spaces," Acta Acust. United With Acust., vol. 94, no. 6, pp. 891-906, 2008, Special issue on Virtual Acoust..
24. J. Angus, "Using grating modulation to achieve wideband large area diffusers," Appl. Acoust., vol. 60, pp. 143-165, 2000.
25. M. van Walstijn and K. Kowalczyk, "On the numerical solution of the 2-D wave equation with compact FDTD schemes," in Proc. Int. Conf. Digital Audio Effects (DAFx'08), Espoo, Finland, Sep. 2008, pp. 1-8.
26. V. Välimäki, "Discrete-time modeling of acoustic tubes using fractional delay filters," Ph.D. dissertation, Helsinki Univ. of Technol., Espoo, Finland, 1995.
27. T. I. Laakso, V. Välimäki, M. Karjalainen, and U. K. Laine, "Splitting the unit delay-Tools for fractional delay filter design," IEEE Signal Process. Mag., vol. 13, no. 1, pp. 30-60, Jan. 1996.
28. J. O. Smith, Physical Audio Signal Processing for Virtual Musical Instruments and Digital Audio Effects. New York: W3K, Aug. 2006
29. [Online]. Available: http://books.wk3.org
30. "AES information document for room acoustics and sound reinforcement systems - characterisation and measurement of surface scattering uniformity," J. Audio Eng. Soc., vol. 49, pp. 149-165, Nov. 2001, AES 4id 2001(r2007).
31. T. J. Cox, B.-I. L. Dalenbäck, P. D. Antonio, J. J. Embrechts, J. Y. Jeon, E. Mommertz, and M. Vörlander, "A tutorial on scattering and diffusion coefficients for room acoustics surfaces," Acta Acust. United With Acust., vol. 92, no. 1, pp. 1-15, 2006.