S. Mallat, A Wavelet Tour of Signal Processing, 1999.

E. J. Candès, Compressive sampling, Proc. International Congress of Mathematicians, pp.1433-1452, 2006.
DOI : 10.4171/022-3/69

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

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

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.113.7694

M. A. Figueiredo, R. D. Nowak, and S. J. Wright, Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems, IEEE Journal of Selected Topics in Signal Processing, vol.1, issue.4, 2007.
DOI : 10.1109/JSTSP.2007.910281

J. Tropp and A. C. Gilbert, Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit, IEEE Transactions on Information Theory, vol.53, issue.12, pp.4655-4666, 2007.
DOI : 10.1109/TIT.2007.909108

URL : http://authors.library.caltech.edu/9490/1/TROieeetit07.pdf

D. Needell and J. Tropp, CoSaMP, Communications of the ACM, vol.53, issue.12, 2008.
DOI : 10.1145/1859204.1859229

R. G. Baraniuk, V. Cevher, M. F. Duarte, and C. Hegde, Model-Based Compressive Sensing, IEEE Transactions on Information Theory, vol.56, issue.4, 2008.
DOI : 10.1109/TIT.2010.2040894

W. Gerstner and W. M. Kistler, Spiking Neuron Models: Single Neurons, Populations, Plasticity, 2002.
DOI : 10.1017/CBO9780511815706

T. Blumensath and M. E. Davies, Iterative hard thresholding for compressed sensing, Applied and Computational Harmonic Analysis, vol.27, issue.3, 2008.
DOI : 10.1016/j.acha.2009.04.002

W. Dai and O. Milenkovic, Subspace pursuit for compressive sensing: Closing the gap between performance and complexity, 2008.

M. F. Duarte, M. B. Wakin, and R. G. Baraniuk, Fast reconstruction of piecewise smooth signals from random projections, Proc. SPARS05, 2005.

C. La and M. N. Do, Tree-Based Orthogonal Matching Pursuit Algorithm for Signal Reconstruction, 2006 International Conference on Image Processing, pp.1277-1280, 2006.
DOI : 10.1109/ICIP.2006.312578

T. Blumensath and M. E. Davies, Sampling theorems for signals from the union of linear subspaces, IEEE Trans. Info. Theory, 2007.

Y. Eldar and M. Mishali, Robust recovery of signals from a union of subspaces, 2008.

Y. M. Lu and M. N. Do, Sampling Signals from a Union of Subspaces, IEEE Signal Processing Magazine, vol.25, issue.2, pp.41-47, 2008.
DOI : 10.1109/MSP.2007.914999

G. L. Nemhauser and L. A. Wolsey, Integer and Combinatorial Optimization, 1999.
DOI : 10.1002/9781118627372