J. Berger, R. Coifman, and M. Goldberg, Removing noise from music using local trigonometric bases and wavelet packets, J. Audio Eng. Soc, vol.42, issue.10, pp.808-818, 1994.

J. Bobin, Y. Moudden, J. Fadili, and J. L. Starck, Morphological component analysis for sparse multichannel data: Application to inpainting, 2007.

A. G. Bruce, S. Sardy, and P. Tseng, Block coordinate relaxation methods for nonparametric signal denoising, Proceedings of the SPIE -The International Society for Optical Engineering, pp.75-86, 1998.

S. S. Chen, D. L. Donoho, and M. Saunders, Atomic Decomposition by Basis Pursuit, SIAM Journal on Scientific Computing, vol.20, issue.1, pp.33-61, 1998.
DOI : 10.1137/S1064827596304010

S. Cotter, B. Rao, K. Engan, and K. Kreutz-delgado, Sparse solutions to linear inverse problems with multiple measurement vectors, IEEE Transactions on Signal Processing, vol.53, issue.7, pp.2477-2488, 2005.
DOI : 10.1109/TSP.2005.849172

L. Daudet, S. Molla, and B. Torrésani, TOWARDS A HYBRID AUDIO CODER, Wavelet Analysis and Its Applications, and Active Media Technology, pp.13-24, 2004.
DOI : 10.1142/9789812702654_0002

URL : https://hal.archives-ouvertes.fr/hal-01304850

L. Daudet and B. Torrésani, Hybrid representations for audiophonic signal encoding, Special issue on Image and Video Coding Beyond Standards, pp.1595-1617, 2002.
DOI : 10.1016/S0165-1684(02)00304-3

URL : https://hal.archives-ouvertes.fr/hal-01300317

D. Donoho, Y. Tsaig, I. Drori, and J. L. Starck, Sparse Solution of Underdetermined Systems of Linear Equations by Stagewise Orthogonal Matching Pursuit, IEEE Transactions on Information Theory, vol.58, issue.2, 2007.
DOI : 10.1109/TIT.2011.2173241

M. Elad, J. L. Starck, D. L. Donoho, and P. Querre, Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA), Applied and Computational Harmonic Analysis, vol.19, issue.3, pp.340-358, 2005.
DOI : 10.1016/j.acha.2005.03.005

C. Févotte, B. Torrésani, L. Daudet, and S. J. Godsill, Sparse Linear Regression With Structured Priors and Application to Denoising of Musical Audio, IEEE Transactions on Audio, Speech, and Language Processing, vol.16, issue.1, pp.174-185, 2008.
DOI : 10.1109/TASL.2007.909290

M. Fornasier and H. Rauhut, Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints, SIAM Journal on Numerical Analysis, vol.46, issue.2, pp.577-613, 2007.
DOI : 10.1137/0606668909

R. Gribonval, H. Rauhut, K. Schnass, and P. Vandergheynst, Atoms of all channels, unite! average case analysis of multichannel sparse recovery using greedy algorithms, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00146660

M. Kowalski, Sparse regression using mixed norms, Applied and Computational Harmonic Analysis, vol.27, issue.3, 2008.
DOI : 10.1016/j.acha.2009.05.006

URL : https://hal.archives-ouvertes.fr/hal-00202904

S. Molla and B. Torrésani, A hybrid scheme for encoding audio signal using hidden Markov models of waveforms, Applied and Computational Harmonic Analysis, vol.18, issue.2, pp.137-166, 2005.
DOI : 10.1016/j.acha.2004.11.001

URL : https://hal.archives-ouvertes.fr/hal-00350467

S. Samarah, S. Obeidat, and R. Salman, A Schur test for weighted mixed-norm spaces, Analysis Mathematica, vol.31, issue.4, pp.277-289, 2005.
DOI : 10.1007/s10476-005-0022-1

J. L. Starck, M. Elad, and D. Donoho, Image decomposition via the combination of sparse representations and a variational approach, IEEE Transactions on Image Processing, vol.14, issue.10, 2004.
DOI : 10.1109/TIP.2005.852206

G. Teschke and R. Ramlau, An iterative algorithm for nonlinear inverse problems with joint sparsity constraints in vector-valued regimes and an application to color image inpainting, Inverse Problems, vol.23, issue.5, pp.1851-1870, 2007.
DOI : 10.1088/0266-5611/23/5/005

R. Tibshirani, Regression shrinkage and selection via the lasso, Journal of the Royal Statistical Society Serie B, vol.58, issue.1, pp.267-288, 1996.

J. Tropp, A. Gilbert, and M. Strauss, Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit, Signal Processing, vol.86, issue.3, pp.572-588, 2006.
DOI : 10.1016/j.sigpro.2005.05.030

J. Tropp, A. Gilbert, and M. Strauss, Algorithms for simultaneous sparse approximation. Part II: Convex relaxation, Signal Processing, vol.86, issue.3, pp.589-602, 2006.
DOI : 10.1016/j.sigpro.2005.05.031

P. Tseng, Dual coordinate ascent methods for non-strictly convex minimization, Mathematical Programming, vol.28, issue.1-3, pp.231-247, 1993.
DOI : 10.1007/BF01581245

M. Yuan and Y. Lin, Model selection and estimation in regression with grouped variables, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.58, issue.1, pp.49-67, 2006.
DOI : 10.1198/016214502753479356