Nonparametric and sparse signal representations in array processing via iterative adaptive approaches

Conference Record - Asilomar Conference on Signals, Systems and Computers

Volumn , Issue , 2008, Pages 278-282

  Yardibi, Tarik ^a   Li, Jian ^a   Stoica, Petre ^b  

^a University of Florida   (United States)

^b UPPSALA UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE APPROACH; ARBITRARY ARRAYS; BAYESIAN INFORMATION CRITERION; COHERENT SOURCES; NON-PARAMETRIC; RELAX ALGORITHM; SOURCE LOCALIZATION; SPARSE SIGNAL REPRESENTATION; WAVE FORMS;

MAXIMUM LIKELIHOOD ESTIMATION;

ARRAY PROCESSING;

EID: 70349662189     PISSN: 10586393     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACSSC.2008.5074408     Document Type: Conference Paper

References (26)

1. J. Capon, "High resolution frequency-wavenumber spectrum analysis," Proceedings of the IEEE, vol. 57, pp. 1408-1418, August 1969.
2. J. Li and P. Stoica, Eds., Robust Adaptive Beamforming. New York, NY: John Wiley & Sons, 2005.
3. P. Stoica and R. L. Moses, Spectral Analysis of Signals. Upper Saddle River, NJ: Prentice-Hall, 2005.
4. 1 minimization," Proceedings of the National Academy of Sciences, vol. 100, no. 5, pp. 2197-2202, March 2003.
5. J. A. Tropp, "Just relax: Convex programming methods for identifying sparse signals," IEEE Transactions on Information Theory, vol. 51, no. 3, pp. 1030-1051, March 2006.
6. J. J. Fuchs, "On sparse representations in arbitrary redundant bases," IEEE Transactions on Information Theory, vol. 50, no. 6, pp. 1341-1344, 2004.
7. -, "Recovery of exact sparse representations in the presence of bounded noise," IEEE Transactions on Information Theory, vol. 51, no. 10, pp. 3601-3608, 2005.
8. R. Tibshirani, "Regression shrinkage and selection via the lasso," Journal of the Royal Statistical Society, vol. 58, no. 1, pp. 267-288, 1996.
9. S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM Journal on Scientific Computing, vol. 20, no. 1, pp. 33-61, 1998.
10. K. Kreutz-Delgado, J. F. Murray, B. D. Rao, K. Engan, T. Lee, and T. J. Sejnowski, "Dictionary learning algorithms for sparse representation," Neural Computation, vol. 15, no. 2, pp. 349-396, 2003.
11. B. D. Rao, K. Engan, S. F. Cotter, J. Palmer, and K. Kreutz-Delgado, "Subset selection in noise based on diversity measure minimization," IEEE Transactions on Signal Processing, vol. 51, no. 3, pp. 760-770, 2003.
12. S. F. Cotter, B. D. Rao, E. Kjersti, and K. Kreutz-Delgado, "Sparse solutions to linear inverse problems with multiple measurement vectors," IEEE Transactions on Signal Processing, vol. 53, no. 7, pp. 2477-2488, 2005.
13. M. E. Tipping, "Sparse Bayesian learning and the relevance vector machine," Journal of Machine Learning Research, vol. 1, pp. 211-244, 2001.
14. D. P. Wipf and B. D. Rao, "Sparse Bayesian learning for basis selection," IEEE Transactions on Signal Processing, vol. 52, no. 8, pp. 2153-2164, 2004.
15. -, "An empirical Bayesian strategy for solving the simultaneous sparse approximation problem," IEEE Transactions on Signal Processing, vol. 55, no. 7, pp. 3704-3716, 2007.
16. M. A. T. Figueiredo, "Adaptive sparseness for supervised learning," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 25, no. 9, pp. 1150-1159, 2003.
17. D. M. Malioutov, M. Çetin, and A. S. Willsky, "A sparse signal reconstruction perspective for source localization with sensor arrays," IEEE Transactions on Signal Processing, vol. 53, no. 8, pp. 3010-3022, 2005.
18. P. Stoica and Y. Selén, "Model-order selection: a review of information criterion rules," IEEE Signal Processing Magazine, vol. 21, no. 4, pp. 36-47, July 2004.
19. J. Li and P. Stoica, "Efficient mixed-spectrum estimation with applications to target feature extraction," IEEE Transactions on Signal Processing, vol. 44, pp. 281-295, February 1996.
20. J. Li, P. Stoica, and D. Zheng, "Angle and waveform estimation via RELAX," IEEE Transactions on Aerospace and Electronic Systems, vol. 33, pp. 1077-1087, July 1997.
21. R. G. Baraniuk, "Compressive sensing," IEEE Signal Processing Magazine, vol. 24, pp. 118-121, July 2007.
22. D. L. Donoho, "Compressed sensing," IEEE Transactions on Information Theory, vol. 52, pp. 1289-1306, Apr. 2006.
23. H. L. Van Trees, Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory. New York, NY: John Wiley & Sons, 2002.
24. J. Li and P. Stoica, "An adaptive filtering approach to spectral estimation and SAR imaging," IEEE Transactions on Signal Processing, vol. 44, no. 6, pp. 1469-1484, June 1996.
25. P. Stoica, H. Li, and J. Li, "A new derivation of the APES filter," IEEE Signal Processing Letters, vol. 6, no. 8, pp. 205-206, August 1999.
26. T. Söderström and P. Stoica, System Identification. London, U.K.: Prentice-Hall International, 1989.