Cumulant-based independence measures for linear mixtures

IEEE Transactions on Information Theory

Volumn 47, Issue 5, 2001, Pages 1947-1956

  Pesquet, Jean Christophe ^a   Moreau, Eric ^b  

^a UNIV PARIS SUD   (France)

^b UNIVERSITÉ DE TOULON   (France)

Author keywords

Contrasts; Convex functions; Cumulants; Decorrelation; Higher order statistics; Independence; Majorization; Source separation

Indexed keywords

PROBLEM SOLVING; RANDOM PROCESSES; STATISTICAL METHODS; VECTORS;

CONTRAST FUNCTIONS; RANDOM VECTORS;

LINEAR PROGRAMMING;

EID: 0035397420     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.930929     Document Type: Article

References (44)

1. A subspace algorithm for certain blind identification problems
2. Time-frequency tilings which best expose the non-Gaussian behavior of a stochastic process
3. Some basic aspects and uses of higher-order spectra
4. Blind beamforming for non Gaussian signals
5. High-order contrasts for independent component analysis
6. A blind signal separation method for multiuser communications
7. New cumulant-based inverse filter criteria for deconvolution of nonminimum phase systems
8. The local Karhunen-Loève bases
9. Independent component analysis, a new concept?
10. Contrasts for multichannel blind deconvolution
11. Adaptive blind separation of independent sources: A deflation approach
12. Source separation when the input sources are discrete or have constant modulus
13. Gaussian moments for noisy independent component analysis
14. On the distribution of optimized multiscale representations
15. Blind source separation by simultaneous third-order tensor diagonalization
16. On minimum entropy deconvolution
17. Blind separation of sources-Part I: An adaptative algorithm based on neuromimetic architecture
18. Separation of independent sources from correlated inputs
19. Adaptive blind source separation and equalization for multiple-input-multiple output systems
20. Self-adaptive source separation-Part I: Convergence analysis of a direct linear network controled by the Hèrault-Jutten algorithm
21. Fouth-order criteria for blind source separation
22. Inequalities: Theory of majorization and its applications
23. Tutorial on higher-order statistics (spectra) in signal processing and system theory: Theoretical results and some applications
24. High order contrasts for self-adaptive source separation
25. Criteria for complex sources separation
26. Generalized contrasts for multichannel blind deconvolution of linear systems
27. Independence/decorrelation measures with applications to optimized orthonormal representations
28. Nonsymmetrical contrasts for source separation
29. Higher-Order Spectra Analysis. A Nonlinear Signal Processing Framework
30. Blind separation of instantaneous mixture of sources via an independent component analysis
31. The least statistically-dependent basis and its applications
32. New criteria for blind deconvolution of nonminimum phase systems (channels)
33. Separation of a class of convolutive mixtures: A contrast function approach
34. Multichannel ARMA processes
35. Bibliography on higher-order statistics
36. Waveform-preserving blind estimation of multiple independent sources
37. Estimation of linear parametric models using inverse filter criteria and higher order statistics
38. Identification and deconvolution of multichannel linear non-Gaussian processes using higher order statistics and inverse filter criteria
39. Karhunen-Loève expansion and factor analysis. Theoretical remarks and applications
40. Minimum entropy deconvolution
41. Multichannel signal separation: Methods and analysis