Eigenvalue decomposition of a cumulant tensor with applications

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 1348, Issue , 1990, Pages 361-372

  Comon, P ^a   Cardoso, J F ^b  

^a Thomson Sintra ^*  (France)

^b TELECOM PARISTECH   (France)

Author keywords

Contrast; Cumulant; Identification; Independent component; Mixture; Principal component

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER ARCHITECTURE; EIGENVALUES AND EIGENFUNCTIONS; HIGHER ORDER STATISTICS; IDENTIFICATION (CONTROL SYSTEMS); INDEPENDENT COMPONENT ANALYSIS; MIXTURES; SIGNAL PROCESSING; TENSORS; COMPUTER PROGRAMMING - ALGORITHMS; CONTROL SYSTEMS - IDENTIFICATION; MATHEMATICAL TECHNIQUES - TENSORS;

CONTRAST; CONVERGENCE PROPERTIES; CUMULANTS; EIGENVALUE DECOMPOSITION; INDEPENDENT COMPONENT ANALYSIS(ICA); INDEPENDENT COMPONENTS; INFORMATION REDUNDANCIES; PRINCIPAL COMPONENTS;

PRINCIPAL COMPONENT ANALYSIS; SIGNAL PROCESSING;

INDEPENDENT COMPONENT ANALYSIS; PRINCIPAL COMPONENT ANALYSIS;

EID: 0025545108     PISSN: 0277786X     EISSN: 1996756X     Source Type: Conference Proceeding    
DOI: 10.1117/12.23493     Document Type: Conference Paper

References (7)

1. M.G. KENDALL and A. STUART, The Advanced Theory of Statistics, Vol. 1, 1960, Griffin.
2. P. McCULLACH, Tensor Methods in Statistics, 1987, Chapman and Hall.
3. D.R. BRILLINGER, Time Series, Data Analysis and Theory, Holden Day, 1981.
4. P. COMON, "Separation of Sources using High-Order Cumulants", SPIE Conference on Advanced Algorithms and Architectures for Signal Processing, Vol. Real-time Signal Processing XII, San Diego, Aug 8-10, 1989, 170-181.
5. J.F. CARDOSO, "Source Separation using Higher-Order Moments", Conference ICASSP, Glasgow, 1989, 2109-2112.
6. P. COMON, "Independent Component Analysis and Blind Identification", Traitement du Signal, special issue Non-Linear and Non-Gaussian, fall 1990.
7. J.F. CARDOSO, "Eigenstructure of the Fourth-Order Cumulant Tensor with Application to the Blind Source Separation Problem", Conference ICASSP, Albuquerque, New Mexico, april 3-6, 1990.