New Gaussianity measures based on order statistics: Application to ICA

Neurocomputing

Volumn 51, Issue , 2003, Pages 303-320

  Blanco, Yolanda ^a   Zazo, Santiago ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Blind source separation; Cumulative density function; Gaussianity measure; Independent component analysis; Order statistics

Indexed keywords

INDEPENDENT COMPONENT ANALYSIS; PROBABILITY DENSITY FUNCTION;

CUMULATIVE DENSITY FUNCTIONS;

NEURAL NETWORKS;

ARTICLE; CONTROLLED STUDY; DATA ANALYSIS; DENSITY; INTERMETHOD COMPARISON; MATHEMATICAL COMPUTING; MEASUREMENT; NORMAL DISTRIBUTION; PRIORITY JOURNAL; PROBABILITY; STATISTICAL ANALYSIS; STATISTICAL DISTRIBUTION; THEORY;

EID: 0037381017     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0925-2312(01)00707-X     Document Type: Article

References (15)

1. M. Abramowitz, I.A. Stegun, Handbook on Mathematical Functions, Dover Publications Inc., New York, 1972.
2. S. Amari, A. Cichocki, H.H. Yang, A new learning algorithm for blind signal separation, Proceedings of the Neural Information Processing Systems, Vol. 8, NIPS 96, 1996, pp. 757-763.
3. A.J. Bell, T.J. Sejnowski, An information maximization approach to blind separation and blind deconvolution, Neural Comput. 7 (6) (1995) 1129-1159.
4. Y. Blanco, S. Zazo, J.M. Páez-Borrallo, Adaptive processing of blind source separation through 'ICA with OS', Proceedings of the International Conference on Acoustics and Signal Processing ICASSP'00, Vol I, 2000, pp. 233-236 S.
5. Y. Blanco, S. Zazo, J.C. Principe, Alternative statistical caussianity measure using the cumulative density function, Proceedings of the Second Workshop on Independent Component Analysis and Blind Signal Separation: ICA'00, 2000, pp. 537-542.
6. J.F. Cardoso, A. Soulimiac, Blind beamforming for non Gaussian signals, IEE Proceedings-F 140 (6) (1993) 362-370.
7. P. Common, Independent component analysis, a new concept, Signal Process. 36 (1992) 287-314.
8. J. Friedman, Exploratory projection pursuit, J. Am. Stat. Assoc. 82 (1992) 249-266.
9. A. Hyvärien, E. Oja, A fast fixed point algorithm for independent component analysis, Neural Comput. 9 (7) (1997) 1483-1492.
10. A. Hyvärien, J. Karhunen, E. Oja, Independent Component Analysis, Wiley, New York, 2001.
11. S.Y. Kung, C. Mejuto, Extraction of independent components from hybrid mixture: knicnet learning algorithm and applications, in: proceedings of the International Conference on Acoustics and Signal Processing ICASSP'98, Vol. II, 1998, pp. 1209, 1211.
12. A. Papoulis, Probability and Statistics, Prentice-Hall International, Inc., Englewood Cliffs, NJ, 1999.
13. D.T. Pham, P. Gharat, C. Jutten, Separation of a mixture of independent sources through a maximum likelihood approach, Proceedings of the EUSIPCO, 1992, pp. 771-774.
14. D.T. Pham, Blind source separation of instantaneous mixtures of sources based on order statistics, IEEE Trans. Signal Process. 40 (2) (2000).
15. S. Zazo, Y. Blanco, J.M. Páez-Borrallo, Order statistics: a new approach to the problem of blind source separation, Proceedings of the first Workshop on Independent Component Analysis and Blind Signal Separation: ICA'99, 1999, pp. 413-418.