D. L. Donoho, M. Elad, and V. Temlyakov, Stable recovery of sparse overcomplete representations in the presence of noise, IEEE Transactions on Information Theory, vol.52, issue.1, pp.6-18, 2006.
DOI : 10.1109/TIT.2005.860430

E. J. Candès, J. Romberg, and T. Tao, Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information, IEEE Transactions on Information Theory, vol.52, issue.2, pp.489-509, 2006.
DOI : 10.1109/TIT.2005.862083

D. L. Donoho, Compressed sensing, IEEE Transactions on Information Theory, vol.52, issue.4, pp.1289-1306, 2006.
DOI : 10.1109/TIT.2006.871582
URL : https://hal.archives-ouvertes.fr/inria-00369486

R. G. Baraniuk, Compressive sensing, 2008 42nd Annual Conference on Information Sciences and Systems, pp.118-124, 2007.
DOI : 10.1109/CISS.2008.4558479
URL : https://hal.archives-ouvertes.fr/hal-00452261

R. Gribonval and S. Lesage, A survey of sparse component analysis for blind source separation: Principles, perspectives, and new challenges, Proc. Eur. Symp. Artificial Neural Networks (ESANN), pp.323-330, 2006.
URL : https://hal.archives-ouvertes.fr/inria-00544897

P. Bofill and M. Zibulevsky, Underdetermined blind source separation using sparse representations, Signal Processing, vol.81, issue.11, pp.2353-2362, 2001.
DOI : 10.1016/S0165-1684(01)00120-7

P. G. Georgiev, F. J. Theis, and A. Cichocki, Blind source separation and sparse component analysis for over-complete mixtures, Proc. Int. Conf. Acoustics, Speech and Signal Processing (ICASSP), pp.493-496, 2004.

Y. Li, A. Cichocki, and S. Amari, Sparse component analysis for blind source separation with less sensors than sources, Proc. Int. Communication Assoc. Conf. (ICA), pp.89-94, 2003.

S. S. Chen, D. L. Donoho, and M. A. Saunders, Atomic Decomposition by Basis Pursuit, SIAM Journal on Scientific Computing, vol.20, issue.1, pp.33-61, 1999.
DOI : 10.1137/S1064827596304010

E. J. Candè, T. Tao, M. A. Figueiredo, and R. D. Nowak, Decoding by linear programming An EM algorithm for waveletbased image restoration, IEEE Trans. Inf. Theory IEEE Trans. Image Process, vol.15, issue.12 8, pp.4203-4215, 2003.

M. A. Figueiredo and R. D. Nowak, A bound optimization approach to wavelet-based image deconvolution, IEEE International Conference on Image Processing 2005, pp.782-785, 2005.
DOI : 10.1109/ICIP.2005.1530172

M. Elad, Why Simple Shrinkage Is Still Relevant for Redundant Representations?, IEEE Transactions on Information Theory, vol.52, issue.12, pp.5559-5569, 2006.
DOI : 10.1109/TIT.2006.885522

I. F. Gorodnitsky and B. D. Rao, Sparse signal reconstruction from limited data using FOCUSS: a re-weighted minimum norm algorithm, IEEE Transactions on Signal Processing, vol.45, issue.3, pp.600-616, 1997.
DOI : 10.1109/78.558475

S. Mallat and Z. Zhang, Matching pursuits with time-frequency dictionaries, IEEE Transactions on Signal Processing, vol.41, issue.12, pp.3397-3415, 1993.
DOI : 10.1109/78.258082

R. Gribonval and M. Nielsen, Sparse representations in unions of bases, IEEE Transactions on Information Theory, vol.49, issue.12, pp.3320-3325, 2003.
DOI : 10.1109/TIT.2003.820031
URL : https://hal.archives-ouvertes.fr/inria-00570057

D. L. Donoho and M. Elad, Optimally sparse representation in general (nonorthogonal) dictionaries via ??1 minimization, Proc. Nat. Acad. Sci, pp.2197-2202, 2003.
DOI : 10.1073/pnas.0437847100

H. Mohimani, M. Babaie-zadeh, and C. Jutten, A Fast Approach for Overcomplete Sparse Decomposition Based on Smoothed <formula formulatype="inline"><tex Notation="TeX">$\ell ^{0}$</tex></formula> Norm, IEEE Transactions on Signal Processing, vol.57, issue.1, pp.289-301, 2009.
DOI : 10.1109/TSP.2008.2007606

B. Wohlberg, Noise sensitivity of sparse signal representations: reconstruction error bounds for the inverse problem, IEEE Transactions on Signal Processing, vol.51, issue.12, pp.3053-3060, 2003.
DOI : 10.1109/TSP.2003.819006

A. Eftekhari, M. Babaie-zadeh, C. Jutten, and H. Abrishami-moghaddam, Robust-SL0 for stable sparse representation in noisy settings, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.3433-3436, 2009.
DOI : 10.1109/ICASSP.2009.4960363
URL : https://hal.archives-ouvertes.fr/hal-00400700

R. A. Horn and C. R. Johnson, Matrix Analysis, 1985.

M. Babaie-zadeh, H. Mohimani, and C. Jutten, An upper bound on the estimation error of the sparsest solution of underdetermined linear systems, presented at the Workshop Signal Processing With Adaptive Sparse Structured Representations (SPARS), 2009.
URL : https://hal.archives-ouvertes.fr/inria-00369545