Steerable frequency-invariant beamforming for arbitrary arrays

Journal of the Acoustical Society of America

Volumn 119, Issue 6, 2006, Pages 3839-3847

  Parra, Lucas C ^a  

^a City College of New York   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC SURFACE WAVE FILTERS; COMPUTATIONAL GEOMETRY; FREQUENCY RESPONSE; MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS;

ARRAY FILTER COEFFICIENTS; FREQUENCY-INVARIANT BEAMFORMING; SENSOR CONFIGURATIONS;

ACOUSTIC ARRAYS;

ACOUSTICS; ANALYTICAL PARAMETERS; ARTICLE; BIOSENSOR; FREQUENCY ANALYSIS; FREQUENCY MODULATION; GEOMETRY; LINEAR SYSTEM; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; PROCESS DESIGN;

EID: 33745068408     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2197606     Document Type: Article

References (23)

1. D. B. Ward, R. A. Kennedy, and R. C. Williamson, " Theory and design of broadband sensor arrays with frequency invariant far-field beam patterns., " J. Acoust. Soc. Am. 97, 1023-1034 (1995).
2. T. Abhayapala, R. Kennedy, and R. Williamson, " Nearfield broadband array design using a radially invariant modal expansion., " J. Acoust. Soc. Am. 107, 392-403 (2000).
3. R. Kennedy, T. Abhayapala, and D. Ward, " Broadband near-field beamforming using a radial beampattern transformation., " IEEE Trans. Signal Process. 46, 2147-2156 (1998).
4. W. Liu and S. Weiss, " A new class of broadband arrays with frequency invariant beam patterns., " in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing (IEEE, New York, 2004), Vol. 2, pp. 185-188.
5. D. B. Ward, R. A. Kennedy, and R. C. Williamson, " FIR filter design for frequency invariant beamformers., " IEEE Signal Process. Lett. 3, 69-71 (1996).
6. T. Sekiguchi and Y. Karasawa, " Wideband beamspace adaptive array utilizing FIR fan filters for multibeam forming., " IEEE Trans. Signal Process. 48, 277-284 (2000).
7. H. Teutsch and W. Kellermann, " EB-ESPRIT: 2D Localization of multiple wideband acoustic sources using eigenbeams., " in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing (IEEE, New York, 2005), Vol. 3, pp. 89-92.
8. J. Meyer and G. Elko, " A highly scalable spherical microphone array based on an orthonormal decomposition of the soundfield., " in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing (IEEE, New York, 2002), Vol. 2, pp. 1781-1784.
9. E. G. Williams, Fourier Acoustics (Academic, New York, 1999).
10. A. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, N.J., 1957).
11. Z. Li and R. Duraiswami, " A robust and self-reconfigurable design of spherical microphone array for multi-resolution beamforming., " in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing (IEEE, New York, 2005), Vol. 4, pp. 1137-1140.
12. Z. Li and R. Duraiswami, " Hemispherical microphone arrays for sound capture and beamforming., " in Proceedings of the Workshop on Applications of Signal Processing to Audio and Acoustics (IEEE, New York, 2005), pp. 106-109.
13. S. Chan and C. Pun, " On the design of digital broadband beamformer for uniform circular array with frequency invariant characteristics., " in Proceedings of the International Symposium on Circuits and Systems (IEEE, New York, 2002), Vol. 1, pp. 693-696.
14. E. Wigner, Gruppentheorie und ihre Anwendungen auf die Quantenmechanik der Atomspektren (Group theory and its applications to the quantum mechanics of atomic spectra) (Friedr. Vieweg, and Sohn, Berlin, 1931).
15. C. H. Choi, J. Ivanic, M. S. Gordon, and K. Ruedenberg, " Rapid and stable determination of rotation matrices between spherical harmonics by direct recursion., " J. Chem. Phys. 111, 8825-8831 (1999).
16. R. Jakob-Chien and B. K. Alpert, " A fast spherical filter with uniform resolution., " J. Comput. Phys. 136, 213-230 (1997).
17. R. Duraiswami, Z. Li, D. Zotkin, E. Grassi, and N. Gumerov, " Plane-wave decomposition analysis for spherical microphone arrays., " in Proceedings of the Workshop on Applications of Signal Processing to Audio and Acoustics (IEEE, New York, 2005), pp. 150-153.
18. P. N. Swarztrauber, " The spectral approximation of discrete scalar and vector functions on the sphere., " SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 16, 934-949 (1979).
19. P. N. Swarztrauber and W. F. Spotz, " Spherical harmonics projectors., " Math. Comput. 73, 753-760 (2003).
20. B. Van Veen and K. Buckley, " Beamforming techniques for spatial filtering., " Digital Signal Processing Handbook (CRC Press, New York, 1997), pp. 61.1-61.20.
21. S. Blank and M. Hutt, " On the empirical optimization of antenna arrays., " IEEE Antennas Propag. Mag. 47, 58-67 (2005).
22. W. Liu and D. Mandic, " Semi-blind source separation for convolutive mixtures based on frequency-invariant transformation., " in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing (IEEE, New York, 2005).
23. L. C. Parra, " Least squares frequency invariant beamforming., " in Proceedings of the Workshop on Applications of Signal Processing to Acoustics and Audio (IEEE, New York, 2005).