Asymptotically perfect wideband focusing of multiring circular arrays

IEEE Transactions on Signal Processing

Volumn 53, Issue 10 I, 2005, Pages 3661-3673

  Di Claudio, Elio D ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Beamforming; Beamspace transformations; Circular harmonic decomposition; Direction finding; Isotropy; Multiring arrays; Uniform circular arrays; Wideband coherent focusing

Indexed keywords

ALGORITHMS; BANDWIDTH; BESSEL FUNCTIONS; COMPUTER SIMULATION; HARMONIC ANALYSIS; INTERPOLATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NATURAL FREQUENCIES; SENSORS; SPURIOUS SIGNAL NOISE;

BEAMFORMING; BEAMSPACE TRANSFORMATIONS; CIRCULAR HARMONIC DECOMPOSITION; DIRECTION FINDING; ISOTROPY; MULTIRING ARRAYS; UNIFORM CIRCULAR ARRAYS; WIDEBAND COHERENT FOCUSING;

ANTENNA ARRAYS;

EID: 27844606800     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2005.855102     Document Type: Article

References (30)

1. J. F. Bohme, "Source-parameter estimation by approximate maximum likelihood and nonlinear regression," IEEE J. Ocean. Eng., vol. 10, no. 3, pp. 206-212, Jul. 1985.
2. M. Brandstein and D. Ward, Eds., Microphone Arrays: Techniques and Applications. New York: Springer-Verlag, May 2001.
3. Y. Li, K. C. Ho, and C. Kwan, "Design of broad-band circular ring microphone array for speech acquisition in 3-D," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., vol. V, Apr. 6, 10, 2003, pp. 221-224.
4. P. M. Schultheiss and H. Messer, "Optimal and suboptimal broad-band source location estimation," IEEE Trans. Signal Process., vol. 41, no. 9, pp. 2752-2763, Sept. 1993.
5. J. A. Cadzow, "Multiple source location - The signal subspace approach," IEEE Trans. Acoust., Speech, Signal Process., vol. 38, no. 7, pp. 1110-1125, Jul. 1990.
6. M. Viberg, B. Ottersten, and T. Kailath, "Detection and estimation in sensor arrays using weighted subspace fitting," IEEE Trans. Signal Process., vol. 39, no. 11, pp. 2436-2449, Nov. 1991.
7. E. D. Di Claudio and R. Parisi, "WAVES: Weighted average of signal subspaces for robust wideband direction finding," IEEE Trans. Signal Process., vol. 49, no. 10, pp. 2179-2191, Oct. 2001.
8. H. Wang and M. Kaveh, "Coherent signal-subspace processing for the detection and estimation of angles of arrival of multiple wide-band sources," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-33, no. 4, pp. 823-831, Aug. 1985.
9. H. Hung and M. Kaveh, "Focussing matrices for coherent signal-subspace processing," IEEE Trans. Acoust., Speech. Signal Process., vol. 36, no. 8, pp. 1272-1281, Aug. 1988.
10. E. D. Di Claudio and R. Parisi, "Robust ML wide-band beamforming in reverberant fields," IEEE Trans. Signal Process., vol. 51, no. 2, pp. 338-349, Feb. 2003.
11. D. N. Swingler, "A low complexity MVDR beamformer for use with short observation times," IEEE Trans. Signal Process., vol. 47, no. 4, pp. 1154-1160, Apr. 1999.
12. B. Friedlander and A. J. Weiss, "Direction finding for wide-band signals using an interpolated array," IEEE Trans. Signal Process., vol. 41, no. 4, pp. 1618-1635, Apr. 1993.
13. T.-S. Lee, "Efficient wide-band source localization using beamforming invariance technique," IEEE Trans. Signal Process., vol. 42, no. 6, pp. 1376-1387, Jun. 1994.
14. A. J. Weiss and B. Friedlander, "Preprocessing for direction finding with minimal variance degradation," IEEE Trans. Signal Process., vol. 42, no. 6, pp. 1478-1485, Jun. 1994.
15. P. Hyberg, M. Jansson, and B. Ottersten, "Array interpolation and bias reduction," IEEE Trans. Signal Process., vol. 52, no. 10, pp. 2711-2720, Oct. 2004.
16. U. Baysal and R. L. Moses, "On the geometry of isotropic arrays," IEEE Trans. Signal Process., vol. 51, no. 6, pp. 1469-1478, Jun. 2003.
17. D. E. N. Davies, "A transformation between the phasing techniques required for linear and circular arrays," Proc. Inst. Elect. Eng., vol. 112, no. 11, pp. 2041-2045, Nov. 1965.
18. M. Wax and J. Sheinvald, "Direction finding of coherent signals via spatial smoothing for uniform circular arrays," IEEE Trans. Antennas Propag., vol. 42, no. 5, pp. 613-620, May 1994.
19. A. H. Tewfik and W. Hong, "On the application of uniform linear array bearing estimation techniques to uniform circular arrays," IEEE Trans. Signal Process., vol. 40, no. 4, pp. 1008-1011, Apr. 1992.
20. M. A. Doron and E. Doron, "Wavefield modeling and array processing, part III - Resolution capacity," IEEE Trans. Signal Process., vol. 42, no. 10, pp. 2571-2580, Oct. 1994.
21. G. H. Golub and C. F. Van Loan, Matrix Computations, Second ed. Baltimore, MD: John Hopkins Univ. Press, 1989.
22. 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. Amer., vol. 97, no. 2, pp. 1023-1034, Feb. 1995.
23. H. L. Van Trees. Detection, Estimation, and Modulation Theory, Part IV, Optimum Array Processing, First ed. New York: Wiley, Mar. 2002.
24. P. Stoica, E. G. Larsson, and A. B. Gershman, "The stochastic CRB for array processing: a textbook derivation," IEEE Signal Process. Lett., vol. 8, no. 5, pp. 148-150, May 2001.
25. H. J. Nussbaumer, Fast Fourier Transform and Convolution Algorithms, Second ed. New York: Springer-Verlag, 1982.
26. D. B. Ward, Z. Ding, and R. A. Kennedy, "Broadband DOA estimation using frequency invariant beamforming," IEEE Trans. Signal Process., vol. 46, no. 5, pp. 1463-1469, May 1998.
27. P. P. Vaidyanathan, Multirate Systems and Filter Banks, First ed. Englewood Cliffs, NJ: Prentice-Hall, 1992.
28. A. L. Swindlehurst and T. Kailath, "A performance analysis of subspace-based methods in the presence of model errors. Part I: The MUSIC algorithm," IEEE Trans. Signal Process., vol. 40, no. 7, pp. 1758-1774, Jul. 1992.
29. A. L. Swindlehurst and T. Kailath, "A performance analysis of subspace-based methods in the presence of model errors: Part II - Multidimensional algorithms," IEEE Trans. Signal Process., vol. 41, no. 9, pp. 2882-2890, Sep. 1993.
30. A. Nehorai and E. Paldi, "Acoustic vector-sensor array processing," IEEE Trans. Signal Process., vol. 42, no. 10, pp. 2481-2491, Sep. 1994.