On the minimum ℓ1-norm signal recovery in underdetermined source separation

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3195, Issue , 2004, Pages 193-200

  Takigawa, Ichigaku ^a   Kudo, Mineichi ^a   Nakamura, Atsuyoshi ^a   Toyama, Jun ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

MIXING; SEPARATION; SIGNAL RECONSTRUCTION; BLIND SOURCE SEPARATION;

DECISION REGIONS; LINEAR MIXTURES; MIXING MATRIX; SIGNAL RECOVERY; SUBMATRIX; UNDERDETERMINED SOURCE SEPARATIONS; UNSTABILITY;

SOURCE SEPARATION; INDEPENDENT COMPONENT ANALYSIS;

EID: 25444484277     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-30110-3_25     Document Type: Article

References (16)

1. Abrard, F., Deville, Y., White, P.: From blind source separation to blind source cancellation in the underdetermined case: a new approach based on time-frequency analysis. Proceedings of ICA2001 (2001)
2. Lewicki, M., T.J.Sejnowski: Learning overcomplete representations. Neural Computation 12 (2000) 337-365
3. Lee, T.W., Lewicki, M.S., Girolami, M., Sejnowski, T.J.: Blind source separation of more sources than mixtures using overcomplete representations. IEEE Signal Processing Letters 4 (1999)
4. Bofill, P., Zibulevsky, M.: Underdetermined blind source separation using sparse representations. Signal Processing 81 (2001) 2353-2362
5. Li, Y., Cichocki, A., Amari, S.: Sparse component analysis for blind source separation with less sensors than sources. Proceedings of ICA2003 (2003)
6. Zibulevsky, M., Pearlmutter, B.A.: Blind source separation by sparse decomposition. Neural Computations 13 (2001)
7. Olshausen, B.A., Field, D.J.: Sparse coding with an overcomplete basis set: A strategy employed by v1? Vision Research 37 (1997) 3311-3325
8. 1-norm solutions for underdetermined source separation. IEEE Transactions on Signal Processing 52 (2004) 582-591
9. Chen, S.S., Donoho, D.L., Saunders, M.A.: Atomic decomposition by basis pursuit. SIAM Journal on Scientific Computing 20 (1998) 33-61
10. 1 minimization. Proceedings of the National Academy of Sciences 100 (2004)
11. Donoho, D.L., Huo, X.: Undertainty principles and ideal atomic decomposition. IEEE Transactions on Information Theory 47 (2001)
12. Malioutov, M., Çetin, M., Willsky, A.S.: Optimal sparse representations in general overcomplete bases, accepted to IEEE International Conference on Acoustics, Speech, and Signal Processing (2004)
13. Elad, M., Bruckstein, A.M.: A generalized uncertainty principle and sparse representation in pairs of bases. IEEE Transactions on Information Theory 48 (2002)
14. Freuer, A., Nemirovski, A.: On sparse representation in pairs of bases. IEEE Transactions on Information Theory 49 (2003)
15. Mallat, S., Zhang, Z.: Matching pursuits with time-frequency dictionaries. IEEE Transactions on Signal Processing 41 (1993)
16. Takigawa, I.: Analysis of Solutions in Underdetermined Source Separation. PhD thesis, Graduate School of Engineering, Hokkaido University (2004)