A least squares approach to the design of frequency invariant beamformers

European Signal Processing Conference

Volumn , Issue , 2009, Pages 844-848

  Zhao, Yong ^a   Liu, Wei ^a   Langley, Richard ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

Frequency invariant beamformer; Lagrange multipliers; Least squares; Orthogonal decomposition

Indexed keywords

BEAM FORMERS; COEFFICIENT VECTOR; CONSTRAINED DESIGN; FREQUENCY INVARIANT; FREQUENCY INVARIANT BEAMFORMERS; LAGRANGE MULTIPLIERS METHOD; LEAST SQUARE; LEAST-SQUARES APPROACH; LEAST-SQUARES FORMULATION; OFF-BROADSIDE MAIN BEAM; ORTHOGONAL DECOMPOSITION; SIDELOBE ATTENUATION;

BEAMFORMING; LAGRANGE MULTIPLIERS;

DESIGN;

EID: 79952684947     PISSN: 22195491     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. H. L. Van Trees, Optimum Array Processing, Part IV of Detection, Estimation, and Modulation Theory, John Wiley & Sons, Inc., New York, U.S.A., 2002.
2. M. M. Goodwin and G. W. Elko, "Constant beamwidth beamforming," in Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing, Minneapolis, USA, April 1993, vol. 1, pp. 169-172.
3. T. Chou, "Frequency-independent beamformer with low response error," in Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing, Detroit, USA, May 1995, vol. 5, pp. 2995-2998.
4. D. B. Ward, R. A. Kennedy, and R. C. Williamson, "Theory and design of broadband sensor arrays with frequency invariant far-field beam patterns," Journal of the Acoustic Society of America, vol. 97, no. 2, pp. 1023-1034, February 1995.
5. T. Sekiguchi and Y. Karasawa, "Wideband beamspace adaptive array utilizing FIR fan filters for multibeam forming," IEEE Transactions on Signal Processing, vol. 48, no. 1, pp. 277-284, January 2000.
6. W. Liu and S. Weiss, "A new class of broadband arrays with frequency invariant beam patterns," in Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing, Montreal, Canada, May 2004, vol. 2, pp. 185-188.
7. L. C. Parra, "Steerable frequency-invariant beamforming for arbitrary arrays," Journal of the Acoustic Society of America, vol. 119, pp. 3839-3847, June 2006.
8. H. H. Chen and S. C. Chan, "Adaptive beamforming and DOA estimation using uniform concentric spherical arrays with frequency invariant characteristics," Journal of VLSI Signal Processing, vol. 46, no. 1, pp. 15-34, January 2007.
9. H. H. Chen, S. C. Chan, and K. L. Ho, "Adaptive beamforming using frequency invariant uniform concentric circular arrays," IEEE Transactions on Circuits & Systems I: Regular Papers, vol. 54, no. 9, pp. 1938-1949, September 2007.
10. S. C. Chan and H. H. Chen, "Uniform concentric circular arrays with frequency-invariant characteristics-theory, design, adaptive beamforming and DOA estimation," IEEE Transactions on Signal Processing, vol. 55, pp. 165-177, January 2007.
11. W. Liu, S. Weiss, J. G. McWhirter, and I. K. Proudler, "Frequency invariant beamforming for two-dimensional and three-dimensional arrays," Signal Processing, vol. 87, pp. 2535-2543, November 2007.
12. W. Liu and S. Weiss, "Design of frequency invarint beamformers for broadband arrays," IEEE Trans. Signal Processing, vol. 56, no. 2, pp. 860, February 2008.
13. W. Liu, D. McLernon, and M. Ghogho, "Design of frequency invariant beamformer without temporal filtering," IEEE Transactions on Signal Processing, vol. 57, no. 2, pp. 798-802, February 2009.
14. W. Liu and S. Weiss, "Off-broadside main beam design and subband implementation for a class of frequency invariant beamformers," Signal Processing, vol. 89, pp. 913-920, May 2009.
15. H. Duan, B. P. Ng, C. M. See, and J. Fang, "Applications of the SRV constraint in broadband pattern synthesis," Signal Processing, vol. 88, pp. 1035-1045, April 2008.
16. Y. Zhao, W. Liu, and R. J. Langley, "Efficient design of frequency invariant beamformers with sensor delay-lines," in Proc. IEEE Workshop on Sensor Array and Multichannel Signal Processing, Darmstadt, Germany, July 2008, pp. 335-339.
17. A. Tkacenko, P. P. Vaidyanathan, and T. Q. Nguyen, "On the eigenfilter design method and its applications: a tutorial," IEEE Transactions on Circuits and Systems - II: Analog and Digital Signal Processing, vol. 50, pp. 497-517, September 2003.
18. S. Doclo and M. Moonen, "Design of broadband beamformers robust against gain and phase errors in the microphone array characteristics," IEEE Transactions on Signal Processing, vol. 51, no. 10, pp. 2511-2526, October 2003.
19. O. L. Frost, III, "An algorithm for linearly constrained adaptive array processing," Proceedings of the IEEE, vol. 60, no. 8, pp. 926-935, August 1972.
20. L. J. Griffiths and C. W. Jim, "An alternative approach to linearly constrained adaptive beamforming," IEEE Transactions on Antennas and Propagation, vol. 30, no. 1, pp. 27-34, January 1982.