Random sampling of sparse trigonometric polynomials
Tài liệu tham khảo
Bass, 2004, Random sampling of multivariate trigonometric polynomials, SIAM J. Math. Anal., 36, 773, 10.1137/S0036141003432316
Boucheron, 2000, A sharp concentration inequality with applications, Random Structures Algorithms, 16, 277, 10.1002/(SICI)1098-2418(200005)16:3<277::AID-RSA4>3.0.CO;2-1
Boyd, 2004
D. Callan, On conjugates for set partitions and integer compositions, Preprint, arXiv:math.Co/0508052, 2005
Chen, 1999, Atomic decomposition by basis pursuit, SIAM J. Sci. Comput., 20, 33, 10.1137/S1064827596304010
Candes, 2006, Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information, IEEE Trans. Inform. Theory, 52, 489, 10.1109/TIT.2005.862083
E. Candes, T. Tao, Near optimal signal recovery from random projections and universal encoding strategies, IEEE Trans. Inform. Theory (2006), in press
E. Candes, J. Romberg, T. Tao, Stable signal recovery from incomplete and inaccurate measurements, Comm. Pure Appl. Math. (2006), in press
E. Candes, J. Romberg, Practical signal recovery from random projections, Preprint, 2004
Donoho, 2006, Compressed sensing, IEEE Trans. Inform. Theory, 52, 1289, 10.1109/TIT.2006.871582
D.L. Donoho, Y. Tsaig, Extensions of compressed sensing, EURASIP J. Appl. Signal Proc. (2006), in press
Donoho, 2006, For most large underdetermined systems of linear equations the minimal ℓ1-norm solution is also the sparsest solution, Comm. Pure Appl. Math., 59, 797, 10.1002/cpa.20132
Donoho, 2005, Sparse nonnegative solutions of underdetermined linear equations, Proc. Natl. Acad. Sci. USA, 102, 9446, 10.1073/pnas.0502269102
Donoho, 2005, Neighborliness of randomly-projected simplices in high dimensions, Proc. Natl. Acad. Sci. USA, 102, 9452, 10.1073/pnas.0502258102
A. Gilbert, J. Tropp, Signal recovery from partial information via orthogonal matching pursuit, Preprint, 2005
Knuth, 2005, Problem 11151, Amer. Math. Monthly, 112, 367, 10.2307/30037481
S. Kunis, H. Rauhut, Random sampling of sparse trigonometric polynomials II: Orthogonal matching pursuit versus basis pursuit, Preprint, 2006
Potts, 1998, Fast Fourier transforms for nonequispaced data: A tutorial, 249
Riordan, 1958
M. Rudelson, R. Vershynin, Geometric approach to error correcting codes and reconstruction of signals, Int. Math. Res. Notices, in press
Sloane
Stanley, 1997
Weisstein
Wilf, 1994
Zou, 2005, Theoretical and experimental analysis of a randomized algorithm for sparse Fourier transform analysis, J. Comput. Phys., 211, 572, 10.1016/j.jcp.2005.06.005