Blind identification of under-determined mixtures based on the characteristic function

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn IV, Issue , 2005, Pages

  Comon, Pierre ^a   Rajih, Myriam ^a  

^a UNIVERSITY OF NICE SOPHIA ANTIPOLIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; FUNCTIONS; SENSORS; SIGNAL PROCESSING; STATISTICAL METHODS;

OBSERVATION SPACE; UNDER-DETERMINED MIXTURES; UNDER-DETERMINED MIXTURES (UDM);

BLIND SOURCE SEPARATION;

EID: 33646795339     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2005.1416181     Document Type: Conference Paper

References (21)

1. L. ALBERA, A. FERREOL, P. COMON, P. CHEVALIER, "Blind identification of overcomplete mixtures of sources (BIOME)", Lin. Algebra Appl., to appear, 2004.
2. R. BRO, C. A. ANDERSSON, "Improving the speed of multiway algorithms. Part II: Compression", Chemometrics and Intelligent Laboratory Systems, vol. 42, no. 1-2, pp. 105-113, 1998.
3. J. F. CARDOSO, "Super-symmetric decomposition of the fourth-order cumulant tensor. Blind identification of more sources than sensors", in Proc. ICASSP, Toronto, 1991, pp. 3109-3112.
4. P. COMON, "Blind identification and source separation in 2×3 under-determined mixtures", IEEE Trans. Signal Processing, pp. 11-22, Jan. 2004.
5. P. COMON, "Canonical tensor decompositions", Research Report RR-2004-17, I3S, June 17 2004.
6. P. COMON, M. RAJIH, "Blind identification of complex under-determined mixtures", in ICA Conference, Granada, Spain, Sept 22-24 2004.
7. G. DARMOIS, "Analyse générale des liaisons stochastiques", Rev. Inst. Internat. Stoch., vol. 21, pp. 2-8, 1953.
8. L. de LATHAUWER, P. COMON, B. de MOOR, "ICA algorithms for 3 sources and 2 sensors", in 6th Workshop on HOS, Caesarea, Israel, June 14-16 1999, pp. 116-120.
9. J. ERIKSSON, V. KOIVUNEN, "Identifiability and separability of linear ICA models revisited", in 4th Int. Symp. Indep. Comp. Ana. (ICA'03), Nara, Japan, 2003.
10. W. FELLER, An Introduction to Probability Theory and its Applications, vol. II, Wiley, 1966.
11. A. FERREOL, L. ALBERA, P. CHEVALIER, "Fourth order blind identification of underdetermined mixtures", in ICASSP'03, Hong Kong, April 6-10 2003, pp. 41-44.
12. A. HYVÄRINEN, J. KARHUNEN, E. OJA, Independent Component Analysis, Wiley, 2001.
13. A. M. KAGAN, Y. V. LINNIK, C. R. RAO, Characterization Problems in Mathematical Statistics, Probability and Mathematical Statistics. Wiley, New York, 1973.
14. J. B. KRUSKAL, "Three-way arrays: Rank and uniqueness of trilinear decompositions", Linear Algebra and Applications, vol. 18, pp. 95-138, 1977.
15. T. W. LEE, M. S. LEWICKI et al., "Blind source separation of more sources than mixtures using overcomplete representations", IEEE Sig. Proc. Letters, pp. 87-90, Apr. 1999.
16. S. LEURGANS, R. T. ROSS, R. B. ABEL, "A decomposition for three-way arrays", SIAM Jour. Matrix Anal. Appl., vol. 14, no. 4, pp. 1064-1083, Oct. 1993.
17. E. LUKACS, Characteristic functions, Griffin, 1970.
18. A. TALEB, "An algorithm for blind identification of N independent signals with 2 sensors", in ISSPA'01, KualaLumpur, 2001.
19. A. TALEB, C. JUTTEN, "On underdetermined source separation", in ICASSP99, Phoenix, Arizona, March 15-19 1999.
20. A. YEREDOR, "Blind source separation via the second characteristic function", Signal Processing, vol. 80, pp. 897-902, 2000.
21. A. YEREDOR, "Non-orthogonal joint diagoinalization in the LS sense with application in blind source separation", IEEE Trans. Sig. Proc., vol. 50, no. 7, pp. 1545-1553, 2002.