Sparsity constrained deconvolution approaches for acoustic source mapping

Journal of the Acoustical Society of America

Volumn 123, Issue 5, 2008, Pages 2631-2642

  Yardibi, Tarik ^a   Li, Jian ^a   Stoica, Petre ^b   Cattafesta III, Louis N ^c  

^a University of Florida   (United States)

^b UPPSALA UNIVERSITY   (Sweden)

^c UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC ARRAYS; ALGORITHMS; COVARIANCE MATRIX; DECONVOLUTION; INVERSE PROBLEMS; PROBLEM SOLVING;

AEROACOUSTIC APPLICATIONS; COVARIANCE MATRIX FITTING (CMF); DELAY-AND-SUM APPROACH;

MICROPHONES;

ACOUSTICS; ARTICLE; MICROPHONE; PRIORITY JOURNAL; SIMULATION; SOUND DETECTION; SOUND INTENSITY;

ACOUSTICS; ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, STATISTICAL; NEURAL NETWORKS (COMPUTER); PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 43549104245     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2896754     Document Type: Article

References (34)

1. W. M. Humphreys, T. F. Brooks, W. W. Hunter, and K. R. Meadows, " Design and use of microphone directional arrays for aeroacoustic measurements., " Fourth AIAA/CEAS Aeroacoustics Conference, Reno, NV, 1998, AIAA-98-0471.
2. R. P. Dougherty, " Beamforming in acoustic testing., " Aeroacoustic Measurements, edited by, T. J. Mueller, (Springer, New York, 2002), pp. 63-97.
3. K. R. Meadows, T. F. Brooks, W. M. Humphreys, Jr., W. W. Hunter, and C. H. Gerhold, " Aeroacoustic measurements of a wing-flap configuration., " Third AIAA/CEAS Aeroacoustics Conference, Atlanta, GA, 1997, AIAA Paper 97-1595.
4. P. Stoica and R. L. Moses, Spectral Analysis of Signals (Prentice-Hall, Upper Saddle River, NJ, 2005).
5. T. F. Brooks, M. A. Marcolini, and D. S. Pope, " A directional array approach for the measurement of rotor noise source distributions with controlled spatial resolution., " J. Sound Vib. 112, 192-197 (1987).
6. J. Li, Y. Xie, P. Stoica, X. Zheng, and J. Ward, " Beampattern synthesis via a matrix approach for signal power estimation., " IEEE Trans. Signal Process. 55, 5643-5657 (2007).
7. J. Li, P. Stoica, and Z. Wang, " On robust Capon beamforming and diagonal loading., " IEEE Trans. Signal Process. 51, 1702-1715 (2003).
8. J. Li and P. Stoica, " Efficient mixed-spectrum estimation with applications to target feature extraction., " IEEE Trans. Signal Process. 44, 281-295 (1996).
9. Z. Wang, J. Li, P. Stoica, T. Nishida, and M. Sheplak, " Wideband RELAX and wideband CLEAN for aeroacoustic imaging., " J. Acoust. Soc. Am. 115, 757-767 (2004).
10. T. F. Brooks and W. M. Humphreys, " A deconvolution approach for the mapping of acoustic sources (DAMAS) determined from phased microphone arrays., " J. Sound Vib. 294, 856-879 (2006).
11. T. F. Brooks and W. M. Humphreys, " A deconvolution approach for the mapping of acoustic sources (DAMAS) determined from phased microphone arrays., " Tenth AIAA/CEAS Aeroacoustics Conference, Manchester, UK, 2004, AIAA-2004-2954.
12. K. Ehrenfried and L. Koop, " A comparison of iterative deconvolution algorithms for the mapping of acoutic sources., " 12th AIAA/CEAS Aeroacoustics Conference, Cambridge, MA, 2006, AIAA-2006-2711.
13. P. A. Ravetta, R. A. Burdisso, and W. F. Ng, " Noise source localization and optimization of phased array results., " 12th AIAA/CEAS Aeroacoustics Conference, Cambridge, MA, 2006, AIAA-2006-2713.
14. R. Dougherty, " Extensions of DAMAS and benefits and limitations of deconvolution in beamforming., " 11th AIAA/CEAS Aeroacoustics Conference, Monterey, CA, 2005, AIAA-2005-2961.
15. T. F. Brooks and W. M. Humphreys, " Extension of damas phased array processing for spatial coherence determination (DAMAS-C)., " 12th AIAA/CEAS Aeroacoustics Conference, Cambridge, MA, 2006, AIAA-2006-2654.
16. T. F. Brooks and W. M. Humphreys, " Three-dimensional application of DAMAS methodology for aeroacoustic noise source definition., " 11th AIAA/CEAS Aeroacoustics Conference, Monterey, CA, 2005, AIAA-2005-2960.
17. D. L. Donoho and M. Elad, " Optimally sparse representation in general (nonorthogonal) dictionaries via 1 minimization., " Proc. Natl. Acad. Sci. U.S.A. 100, 2197-2202 (2003).
18. R. Tibshirani, " Regression shrinkage and selection via the lasso., " J. R. Stat. Soc. Ser. B (Methodol.) 58, 267-288 (1996).
19. S. S. Chen, D. L. Donoho, and M. A. Saunders, " Atomic decomposition by basis pursuit., " SIAM J. Sci. Comput. (USA) 20, 33-61 (1998).
20. J. A. Tropp, " Just relax: Convex programming methods for identifying sparse signals., " IEEE Trans. Inf. Theory 51, 1030-1051 (2006).
21. J. J. Fuchs, " On sparse representations in arbitrary redundant bases., " IEEE Trans. Inf. Theory 50, 1341-1344 (2004).
22. J. J. Fuchs, " Recovery of exact sparse representations in the presence of bounded noise., " IEEE Trans. Inf. Theory 51, 3601-3608 (2005).
23. S. F. Cotter, B. D. Rao, E. Kjersti, and K. Kreutz-Delgado, " Sparse solutions to linear inverse problems with multiple measurement vectors., " IEEE Trans. Signal Process. 53, 2477-2488 (2005).
24. D. P. Wipf and B. D. Rao, " Sparse Bayesian learning for basis selection., " IEEE Trans. Signal Process. 52, 2153-2164 (2004).
25. M. A. T. Figueiredo, " Adaptive sparseness for supervised learning., " IEEE Trans. Pattern Anal. Mach. Intell. 25, 1150-1159 (2003).
26. D. P. Wipf and B. D. Rao, " An empirical Bayesian strategy for solving the simultaneous sparse approximation problem., " IEEE Trans. Signal Process. 55, 3704-3716 (2007).
27. D. M. Malioutov, M. Çetin, and A. S. Willsky, " A sparse signal reconstruction perspective for source localization with sensor arrays., " IEEE Trans. Signal Process. 53, 3010-3022 (2005).
28. J. J. Fuchs, " Linear programming in spectral estimation. Application to array processing., " in IEEE Proceedings of Acoustics, Speech, and Signal Processing, Atlanta, GA, 1996, pp. 3161-3164.
29. J. J. Fuchs, " On the application of the global matched filter to DOA estimation with uniform circular arrays., " IEEE Trans. Signal Process. 49, 702-709 (2001).
30. H. L. Van Trees, Optimum Array Processing, Detection, Estimation, and Modulation Theory Part (Wiley, New York, 2002).
31. J. F. Sturm, " Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones., " Optim. Methods Software 11-12, 625-653 (1999).
32. J. Löfberg, " YALMIP: A toolbox for modeling and optimization in MATLAB., " The 2004 IEEE International Symposium on Computer Aided Control Systems Design, Taipei, Taiwan, pp. 284-289.
33. S. Boyd and L. Vandenberghe, Convex Optimization (Cambridge University Press, Cambridge, UK, 2004).
34. T. F. Brooks and W. M. Humphreys, Jr., " Effect of directional array size on the measurement of airframe noise components., " Fifth AIAA/CEAS Aeroacoustics Conference and Exhibit, Bellevue, WA, 1999, AIAA Paper 99-1958.