F. Dupé, J. Fadili, and . Starck, A Proximal Iteration for Deconvolving Poisson Noisy Images Using Sparse Representations, IEEE Transactions on Image Processing, vol.18, issue.2, pp.310-321, 2009.
DOI : 10.1109/TIP.2008.2008223

M. Cetin, Feature-enhanced synthetic aperture radar image formation based on nonquadratic regularization, IEEE Transactions on Image Processing, vol.10, issue.4, pp.623-631, 2001.
DOI : 10.1109/83.913596

S. Rouquette and M. Najim, Estimation of frequencies and damping factors by two-dimensional ESPRIT type methods, IEEE Transactions on Signal Processing, vol.49, issue.1, pp.237-245, 2001.
DOI : 10.1109/78.890367

Y. Bresler and . Makovski, Exact maximum likelihood parameter estimation of superimposed exponential signals in noise, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.34, issue.5, pp.1081-1089, 1986.
DOI : 10.1109/TASSP.1986.1164949

M. Clark and L. Scharf, Two-dimensional modal analysis based on maximum likelihood, IEEE Transactions on Signal Processing, vol.42, issue.6, pp.1443-1451, 1994.
DOI : 10.1109/78.286959

R. Kumaresan and D. Tufts, Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.30, issue.6, pp.833-840, 1982.
DOI : 10.1109/TASSP.1982.1163974

P. Stoica and . Nehorai, MUSIC, maximum likelihood, and Cramer-Rao bound, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.37, issue.5, pp.720-741, 1989.
DOI : 10.1109/29.17564

R. Roy and T. Kailath, ESPRIT-estimation of signal parameters via rotational invariance techniques, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.37, issue.7, pp.984-995, 1989.
DOI : 10.1109/29.32276

J. Sacchini, W. Steedly, and . Moses, Two-dimensional Prony modeling and parameter estimation, IEEE Transactions on Signal Processing, vol.41, issue.11, pp.3127-3137, 1993.
DOI : 10.1109/78.257242

J. Liu, X. Liu, and . Ma, Multidimensional Frequency Estimation With Finite Snapshots in the Presence of Identical Frequencies, IEEE Transactions on Signal Processing, vol.55, issue.11, pp.5179-5194, 2007.
DOI : 10.1109/TSP.2007.899530

I. Gorodnitsky and . 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

N. Moal and J. Fuchs, Sinusoids in white noise: a quadratic programming approach, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), pp.2221-2224, 1998.
DOI : 10.1109/ICASSP.1998.681589

S. Chen and D. Donoho, Application of basis pursuit in spectrum estimation, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), pp.1865-1868, 1998.
DOI : 10.1109/ICASSP.1998.681827

S. Cabrera, A. Boonsri, and . Brito, Principal component separation in sparse signal recovery for harmonic retrieval, Sensor Array and Multichannel Signal Processing Workshop Proceedings, 2002, pp.249-253, 2002.
DOI : 10.1109/SAM.2002.1191038

S. Bourguignon, H. Carfantan, and J. Idier, A Sparsity-Based Method for the Estimation of Spectral Lines From Irregularly Sampled Data, IEEE Journal of Selected Topics in Signal Processing, vol.1, issue.4, pp.575-585, 2007.
DOI : 10.1109/JSTSP.2007.910275
URL : https://hal.archives-ouvertes.fr/hal-00399459

J. Fuchs, Convergence of a Sparse Representations Algorithm Applicable to Real or Complex Data, IEEE Journal of Selected Topics in Signal Processing, vol.1, issue.4, pp.598-605, 2007.
DOI : 10.1109/JSTSP.2007.909363
URL : https://hal.archives-ouvertes.fr/inria-00504234

D. Donoho and Y. Tsaig, Fast Solution of <formula formulatype="inline"><tex>$\ell _{1}$</tex> </formula>-Norm Minimization Problems When the Solution May Be Sparse, IEEE Transactions on Information Theory, vol.54, issue.11, pp.4789-4812, 2008.
DOI : 10.1109/TIT.2008.929958

R. Tibshirani, Regression shrinkage and selection via the lasso, Series B (Methodol, pp.267-288, 1996.

B. Efron, . Hastie, R. Johnstone, and . Tibshirani, Least angle regression, Ann. Statist, vol.32, issue.2, pp.407-499, 2004.

Y. Pati, P. Rezaiifar, and . Krishnaprasad, Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition, in 1993 Conference Record of The Twenty-Seventh Asilomar Conference on Signals, Systems and Computers, pp.40-44, 1993.

M. Goodwin and M. Vetterli, Matching pursuit and atomic signal models based on recursive filter banks, IEEE Transactions on Signal Processing, vol.47, issue.7, pp.1890-1902, 1999.
DOI : 10.1109/78.771038

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
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.335.5769

S. Cabrera, . Malladi, . Mulpuri, and . Brito, Adaptive refinement in maximally sparse harmonic signal retrieval, IEEE Digital Signal Processing Workshop, pp.231-235, 2004.

D. Malioutov, . Cetin, and . Willsky, A sparse signal reconstruction perspective for source localization with sensor arrays, IEEE Transactions on Signal Processing, vol.53, issue.8, pp.3010-3022, 2005.
DOI : 10.1109/TSP.2005.850882

E. Djermoune, D. Kasalica, and . Brie, Estimation of the parameters of two-dimensional NMR spectroscopy signals using an adapted subband decomposition, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.3641-3644, 2008.
DOI : 10.1109/ICASSP.2008.4518441
URL : https://hal.archives-ouvertes.fr/hal-00287906

S. Sahnoun, C. Djermoune, D. Soussen, and . Brie, Analyse modale bidimensionnelle par approximation parcimonieuse et multirésolution, GRETSI (2011)

S. Sahnoun, C. Djermoune, D. Soussen, and . Brie, Sparse multiresolution modal estimation, 2011 IEEE Statistical Signal Processing Workshop (SSP), pp.309-312, 2011.
DOI : 10.1109/SSP.2011.5967689
URL : https://hal.archives-ouvertes.fr/hal-00584489

C. Soussen, . Idier, J. Brie, and . Duan, From Bernoulli–Gaussian Deconvolution to Sparse Signal Restoration, IEEE Transactions on Signal Processing, vol.59, issue.10, pp.4572-4584, 2011.
DOI : 10.1109/TSP.2011.2160633

C. Herzet and . Drémeau, Bayesian pursuit algorithms, Proceedings of the European Signal Processing Conference (EUSIPCO-2010), pp.1474-1478, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00673801

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

B. Rao and K. Kreutz-delgado, An affine scaling methodology for best basis selection, IEEE Transactions on Signal Processing, vol.47, issue.1, pp.187-200, 1999.
DOI : 10.1109/78.738251

J. Kormylo, Maximum likelihood detection and estimation of Bernoulli - Gaussian processes, IEEE Transactions on Information Theory, vol.28, issue.3, pp.482-488, 1982.
DOI : 10.1109/TIT.1982.1056496

S. Sahnoun, D. Eh-djermoune, and . Brie, A comparative study of subspace-based methods for 2-D nuclear magnetic resonance spectroscopy signals, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00627648