Fast evaluation of the room transfer function using multipole expansion

IEEE Transactions on Audio, Speech and Language Processing

Volumn 15, Issue 2, 2007, Pages 565-576

  Duraiswami, Ramani ^a   Zotkin, Dmitry N ^a   Gumerov, Nail A ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Acoustic fields; Architectural acoustics; Array signal processing; Multipole expansions

Indexed keywords

ARRAY SIGNAL PROCESSING; ASYMPTOTIC COMPLEXITY; COMPUTATIONAL COSTS; FAST METHODS; FREQUENCY DOMAINS; IF THERE ARES; IMAGE METHODS; IMAGE SOURCES; MONOPOLE SOURCES; MULTIPOLE EXPANSIONS; OFF-LINE COMPUTATIONS; RECEIVER POSITIONS; ROOM TRANSFER FUNCTIONS; SIMULATION RESULTS; SOUND FIELDS;

ACOUSTIC FIELD MEASUREMENT; ACOUSTIC SIGNAL PROCESSING; ACOUSTIC WAVES; ALGORITHMS; ARCHITECTURAL ACOUSTICS; COMPUTATIONAL COMPLEXITY; FREQUENCY DOMAIN ANALYSIS; REVERBERATION; SIGNAL PROCESSING; TRANSFER FUNCTIONS;

ACOUSTIC FIELDS;

EID: 35349009638     PISSN: 15587916     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASL.2006.876753     Document Type: Article

References (46)

1. R. Duraiswami, N. A. Gumerov, D. N. Zotkin, and L. S. Davis, "Efficient evaluation of reverberant sound fields," in Proc. IEEE WASPAA, New Paltz, NY, Oct. 2001, pp. 203-206.
2. W. C. Sabine, "Reverberation," in Acoustics: Historical and Philosophical Developments. Stroudsburg, PA: Dowden, Hutchinson, and Ross, 1972, paper published originally in 1900.
3. Y. Ando, Concert Hall Acoustics. Berlin, Germany: Springer-Verlag, 1985.
4. H. Kuttruff, Room Acoustics, 3rd ed. Amsterdam, The Netherlands: Elsevier Applied Science, 1991.
5. W. M. Hartmann, "Listening in a room and the precedence effect," in Binaural and Spatial Hearing in Real and Virtual Environments, R. H. Gilkey and T. R. Anderson, Eds. Mahwah, NJ: Lawrence Erlbaum, 1997, pp. 191-210.
6. B. G. Shinn-Cunningham, J. G. Desloge, and N. Kopco, "Empirical and modeled acoustic transfer functions in a simple room: effects of distance and direction," in Proc. IEEE WASPAA, New Paltz, NY, 2001, pp. 419-423.
7. J. L. Flanagan, A. C. Surendran, and E. E. Jan, "Spatially selective sound capture for speech and audio processing," Speech Commun., vol. 13, no. 1-2, pp. 207-222, 1993.
8. J. H. DiBiase, H. F. Silverman, and M. S. Brandstein, "Robust localization in reverberant rooms," in Microphone Arrays: Signal Processing Techniques and Applications,M. S. Brandstein and D. B.Ward, Eds. Berlin, Germany: Springer-Verlag, 2001, pp. 157-180.
9. M. R. Schroeder, "Natural sounding artificial reverberation," J. Audio Eng. Soc., vol. 10, no. 3, pp. 219-223, 1962.
10. J. A. Moorer, "About this reverberation business," Comput. Music J., vol. 3, no. 2, pp. 13-28, 1979.
11. J. B. Allen and D. A. Berkley, "Image method for efficiently simulating small-room acoustics," J. Acoust. Soc. Amer., vol. 65, no. 5, pp. 943-950, 1979.
12. J. Borish, "Extension of the image model to arbitrary polyhedra," J. Acoust. Soc. Amer., vol. 75, no. 6, pp. 1827-1836, 1984.
13. P. M. Peterson, "Simulating the response of multiple microphones to a single acoustic source in a reverberant room," J. Acoust. Soc. Amer., vol. 80, no. 5, pp. 1527-1529, 1986.
14. M. Kompis and H. Dillier, "Simulating transfer functions in a reverberant room including source directivity and head-shadow effects," J. Acoust. Soc. Amer., vol. 93, no. 5, pp. 2779-2787, 1993.
15. J. S. Suh and P. A. Nelson, "Measurement of transient response of rooms and comparison with geometrical acoustic models," J. Acoust. Soc. Amer., vol. 105, no. 4, pp. 2304-2317, 1999.
16. T. D. Abhayapala, R. A. Kennedy, and R. C.Williamson, "Noise modeling for nearfield array optimization," IEEE Signal Process. Lett., vol. 6, no. 8, pp. 210-212, Aug. 1999.
17. M. S. Brandstein, "Time-delay estimation of reverberated speech exploiting harmonic structure," J. Acoust. Soc. Amer., vol. 105, no. 5, pp. 2914-2919, 1999.
18. M. Omologo, P. Svaizer, and M. Matassoni, "Environmental conditions and acoustic transduction in hands-free speech recognition," Speech Commun., vol. 25, no. 1, pp. 75-95, 1998.
19. P. W. Shields and D. R. Campbell, "Intelligibility improvements obtained by enhancement method applied to speech corrupted by noise and reverberation," Speech Commun., vol. 25, no. 1, pp. 165-175, 1998.
20. T. Funkhouser, N. Tsingos, I. Carlbom, G. Elko, M. Sondhi, J. E.West, G. Pingali, P. Min, and A. Ngan, "A beam tracing method for interactive architectural acoustics," J. Acoust. Soc. Amer., vol. 115, no. 2, pp. 739-756, 2004.
21. L. Savioja, J. Huopaniemi, and T. Lokki, "Creating interactive virtual acoustic environments," J. Audio Eng. Soc., vol. 47, no. 9, pp. 675-705, 1999.
22. N. Tsingos, T. Funkhouser,A.Ngan, and I. Carlbom, "Modeling acoustics in virtual environments using the uniform theory of diffraction," in Proc. ACM SIGGRAPH, Los Angeles, CA, 2001, pp. 545-552.
23. L. Cremer and H. A. Muller, Principles and Applications of Room Acoustics. London, U.K.: Applied Science, 1978, vol. 1.
24. D. R. Begault, 3D Sound for Virtual Reality and Multimedia. Boston, MA: Academic, 1994.
25. W. Ahnert and R. Feistel, "EARS auralization software," J. Audio Eng. Soc., vol. 41, no. 1, pp. 894-904, 1993.
26. J.-M. Jot, L. Cerveau, and O.Warusfel, "Analysis and synthesis of room reverberation based on a statistical time-frequency model," in Proc. 103rd Audio Eng. Soc. Conv., 1997, preprint 4629.
27. J. F. Abbott, "The Interaction of Sound and Shock Waves With Flexible Porous Materials," Ph.D. dissertation, Dept. Physics, Mass. Inst. Technol., Cambridge, MA, 1991.
28. American National Standard Method for the Calculation of the Absorption of Sound by the Atmosphere, ANSI SI.26-1978, American Institute of Physics (for Acoustical Society of America), 1978, New York.
29. W. G. Gardner, "The Virtual Acoustic Room," M.S. thesis, Dept. Comput. Sci. Eng., Mass. Inst. Technol., Cambridge, MA, 1992.
30. N. Tsingos, I. Carlbom, G. Elko, R. Kubli, and T. Funkhouser, "Validating acoustical simulations in the Bells Labs box," IEEE Comput. Graph. Applicat., vol. 22, no. 4, pp. 28-37, 2002.
31. E.-E. Jan, P. Svaizer, and J. L. Flanagan, "Matched-filter processing of microphone array for spatial volume selectivity," in Proc. IEEE ISCAS, Seattle, WA, 1995, pp. 1460-1463.
32. R. J. Renomeron, D. V. Rabinkin, J. C. French, and J. L. Flanagan, "Small-scale matched filter array processing for spatially selective sound capture," (abstract), J. Acoust. Soc. Amer., vol. 105, no. 5, p. 3208, (Proc. 143th JASA meeting, Dec. 1997).
33. D. V. Rabinkin, R. J. Renomeron, J. L. Flanagan, and D. F. Macomber, "Optimal truncation time for matched filter array processing," in Proc. IEEE ICASSP, Seattle, WA, 1998, vol. 6, pp. 3629-3632.
34. P. M. Morse and K. U. Ingard, Theoretical Acoustics. Princeton, NJ: Princeton Univ. Press, 1968.
35. V. Rokhlin, "Rapid solution of integral equations of classical potential theory," J. Comput. Phys., vol. 60, no. 2, pp. 187-207, 1985.
36. T. Sakuma and Y. Yasuda, "Fast multipole boundary element method for large-scale steady-state sound field analysis. Part I: Setup and validation," Acustica/Acta Acustica, vol. 88, no. 4, pp. 513-525, 2002.
37. Y. Yasuda and T. Sakuma, "Fast multipole boundary element method for large-scale steady-state sound field analysis. Part II: Examination of numerical items," Acustica/Acta Acustica, vol. 89, no. 1, pp. 28-38, 2003.
38. N. A. Gumerov and R. Duraiswami, Fast Multipole Methods for the Helmholtz Equation in Three Dimensions. Amsterdam, The Netherlands: Elsevier Science, 2004.
39. M. Kleiner, B.-I. Dalenback, and P. Svensson, "Auralization-An overview," J. Audio Eng. Soc., vol. 41, no. 11, pp. 861-875, 1993.
40. M. Vorlander, "International round robin on room acoustical computer simulations," in Proc. 15th Int. Congr. Acoustics, Trondheim, Norway, June 1995, pp. 689-692.
41. I. Bork, "A comparison of room simulation software-The 2nd round robin on room acoustical computer simulation," Acustica/Acta Acustica, vol. 86, no. 6, pp. 943-956, 2000.
42. A. Krokstad, S. Strom, and S. Sorsdal, "Calculating the acoustical room response by the use of a ray tracing technique," J. Sound Vibr., vol. 8, no. 1, pp. 118-125, 1968.
43. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. Washington, D.C.: Nat. Bur. Stand., 1964.
44. R. Coifman, V. Rokhlin, and S.Wandzura, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Antennas Propagat. Mag., vol. 35, no. 3, pp. 7-12, Jun. 1993.
45. D. van Maercke and J. Martin, "The prediction of echograms and impulse responses within the Epidaure software," Appl. Acoust., vol. 38, no. 2-4, pp. 93-114, 1993.
46. S. Zhang and J. M. Jin, Computation of Special Functions. NewYork: Wiley, 1996.