Analysis and design of spherical microphone arrays

IEEE Transactions on Speech and Audio Processing

Volumn 13, Issue 1, 2005, Pages 135-143

  Rafaely, Boaz ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Plane wave decomposition; Sound field analysis, spatial aliasing; Spatial sampling; Spherical fourier transform; Spherical microphone arrays

Indexed keywords

ALGORITHMS; ARRAYS; COMPUTER SIMULATION; ERROR ANALYSIS; FOURIER TRANSFORMS; FUNCTIONS; HARMONIC ANALYSIS; SOUND RECORDING;

PLANE-WAVE DECOMPOSITION; SOUND-FIELD ANALYSIS; SPATIAL ALIASING; SPATIAL SAMPLING; SPERICAL MICROPHONE ARRAYS; SPHERICAL FOURIER TRANSFORMS;

MICROPHONES;

EID: 11144229405     PISSN: 10636676     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSA.2004.839244     Document Type: Article

References (21)

1. J. Meyer and G. W. Elko, "A spherical microphone array for spatial sound recordings," J. Acoust. Soc. Amer., vol. Ill, no. 5.2, pp. 2346-2346, 2002.
2. _, "A highly scalable spherical microphone array based on an orthonormal decomposition of the soundfield," in Proc. ICASSP, vol. II, 2002, pp. 1781-1784.
3. T. D. Abhayapala and D. B. Ward, "Theory and design of high order sound field microphones using spherical microphone array," in Proc. ICASSP, vol. II, 2002, pp. 1949-1952.
4. G. Weinreich and E. Arnold, "Method for acoustic radiation fields," J. Acoust. Soc. Amer., vol. 68, no. 2, pp. 404-411, 1980.
5. B. Rafaely, "Plane-wave decomposition of the pressure on a sphere by spherical convolution," J. Acoust. Soc. Amer., vol. 116, no. 4, pp. 2149-2157, 2004.
6. _, "Decomposition of reverberant sound fields into plane waves using microphone arrays," in Proc. 5th Int. Workshop Microphone Array Systems, Theory Practice, Erlangen-Nuremberg, Germany, May 15-16, 2003.
7. _, "Plane-wave decomposition by spherical-convolution microphone array," J. Acoust. Soc. Amer., vol. 115, no. 5.2, pp. 2578-2578, 2004.
8. B. N. Cover, J. G. Ryan, and M. R. Stinson, "Microphone array measurement system for analysis of directional and spatial variations of sound fields," J. Acoust. Soc. Amer., vol. 112, no. 5, pp. 1980-1991, 2002.
9. J. R. Driscoll and D. M. Healy, Jr, "Computing Fourier transforms and convolutions on the 2-sphere," Adv. Appl. Math., vol. 15, pp. 202-250, 1994.
10. E. G. Williams, Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography. New York: Academic, 1999.
11. J. Meyer, "Beamforming for a circular microphone array mounted on spherically shaped objects," J. Acoust. Soc. Amer., vol. 109, no. 1, pp. 185-193, 2001.
12. E. De Witte, H. D. Griffiths, and P. V. Brennan, "Phase mode processing for spherical anttena arrays," Electron. Lett., vol. 30, no. 20, pp. 1430-1431, 2003.
13. G. Arfken and H. J. Weber, Mathematical Methods for Physicists, 5th ed. San Diego, CA: Academic, 2001.
14. L. E. Kinsler, A. R. Frey, A. B. Coppens, and J. V. Sanders, Fundementals of Acoustics. New York: Wiley, 1982.
15. M. J. Mohlenkamp, "A fast transform for spherical harmonics," J. Fourier Analy. Applicat., vol. 5, no. 2/3, pp. 159-184, 1999.
16. V. I. Krylov, Approximate Calculation of Integrals, New York: Macmillan, 1962.
17. M. A. Armstrong, Groups and Symmetry, New York: Springer-Verlag, 1988.
18. R. H. Hardin and N. J. A. Sloane, "McLaren's improved snub cube and other new spherical designs in three dimensions," Discrete Computational Geometry, vol. 15, pp. 429-441, 1995.
19. V. I. Lebedev and A. L. Skorokhodov, "Quadrature formulas of orders 41, 47, and 53 for the sphere," Russ. Acad. Sci. Dokl. Math., vol. 45, no. 3, pp. 587-592, 1992.
20. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products. New York: Academic, 1980.
21. H. Cox, R. M. Zeskind, and M. M. Owen, "Robust adaptive beamforming," IEEE Trans. Acoust. Speech Sig. Proccessing, vol. SSP-35, no. 5, pp. 1365-1376, Oct. 1987.