Recovery conditions of sparse representations in the presence of noise

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn 3, Issue , 2006, Pages

  Fuchs, Jean Jacques ^a  

^a UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; ERROR ANALYSIS; LINEAR PROGRAMMING; OPTIMIZATION; SIGNAL TO NOISE RATIO;

RECONSTRUCTION CONSTRAINT; SPARSE REPRESENTATIONS;

ACOUSTICS;

EID: 33947677595     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. J.J. Fuchs. More on sparse representations in arbitrary bases. IEEE Trans. on I.T. 50, 6, 1341-1344, June 2004
2. D.L. Donoho and X. Huo. Uncertainty principles and ideal atomic decomposition. IEEE Trans. on I.T., 47, 11, 2845-2862, Nov. 2001.
3. M. Elad an A.M. Bruckstein. A generalized uncertainty principle and sparse representation in pairs of bases. IEEE Trans. on I.T., 48, 9, 2558-256, Sept. 2002.
4. R. Gribonval and M. Nielsen. Sparse representations in unions of bases. IEEE Trans. on I.T. 49, 12, 3320-3325, Dec. 2003.
5. J.A. Tropp, "Greed is good: Algorithmic Results for Sparse Approximations," IEEE Trans. on I.T., 50, 10, 2231-2242, Oct. 2004.
6. J.J. Fuchs, "Recovery of exact sparse representations in the presence of noise," Proceedings of the IEEE ICASSP Conference, vol. II, pp. 533-536, Montreal, May 2004.
7. J.J. Fuchs. Recovery of exact sparse representations in the presence of bounded noise IEEE Trans. on I.T. 51, 10, 3601-3608, Oct. 2005.
8. D.L. Donoho, M. Elad and V. Temlyakov, "Stable Recovery of Sparse Overcomplete Representations in the Presence of Noise," submitted to IEEE Trans. on I.T., Feb. 2004.
9. J.A. Tropp, "Just relax: Convex Programming Methods for Identifying Sparse Signals in Noise" submitted to IEEE Trans. on I.T.,revised Feb. 2005.
10. R. Fletcher. Practical methods of optimization. John Wiley and Sons, 1987.