E. J. Candès and M. B. Wakin, An Introduction To Compressive Sampling, IEEE Signal Processing Magazine, vol.25, issue.2, pp.21-30, 2008.
DOI : 10.1109/MSP.2007.914731

C. Ekanadham, D. Tranchina, and E. P. Simoncelli, Recovery of Sparse Translation-Invariant Signals With Continuous Basis Pursuit, IEEE Transactions on Signal Processing, vol.59, issue.10, pp.4735-4744, 2011.
DOI : 10.1109/TSP.2011.2160058

H. Zhu, G. Leus, and G. B. Giannakis, Sparsity-Cognizant Total Least-Squares for Perturbed Compressive Sampling, IEEE Transactions on Signal Processing, vol.59, issue.5, pp.2002-2016, 2011.
DOI : 10.1109/TSP.2011.2109956

A. Florescu, E. Chouzenoux, J. Pesquet, and S. Ciochina, A constrained optimization approach for complex sparse perturbed models, Proceedings of the Signal Processing with Adaptive Sparse Structured Representations, pp.8-11, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00783298

T. Blumensath and M. E. Davies, Iterative Thresholding for Sparse Approximations, Journal of Fourier Analysis and Applications, vol.73, issue.10, pp.629-654, 2008.
DOI : 10.1007/s00041-008-9035-z

H. Zou and T. Hastie, Regularization and variable selection via the elastic net, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.5, issue.2, pp.301-320, 2005.
DOI : 10.1073/pnas.201162998

P. L. Combettes and J. Pesquet, Proximal splitting methods in signal processing, " in Fixed-Point Algorithms for Inverse Problems in Science and Engineering, pp.185-212, 2011.

H. Attouch, J. Bolte, and B. F. Svaiter, Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward???backward splitting, and regularized Gauss???Seidel methods, Mathematical Programming, vol.31, issue.1, pp.1-39, 2013.
DOI : 10.1007/s10107-011-0484-9
URL : https://hal.archives-ouvertes.fr/inria-00636457

A. Beck, A. Ben-tal, and M. Teboulle, Finding a Global Optimal Solution for a Quadratically Constrained Fractional Quadratic Problem with Applications to the Regularized Total Least Squares, SIAM Journal on Matrix Analysis and Applications, vol.28, issue.2, pp.425-445, 2006.
DOI : 10.1137/040616851