Independent vector analysis, the Kotz distribution, and performance bounds

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

Volumn , Issue , 2013, Pages 3243-3247

  Anderson, Matthew ^a   Fu, Geng Shen ^a   Phlypo, Ronald ^a   Adali, Tulay ^a  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

Cram r Rao lower bound (CRLB); Independent vector analysis (IVA); joint blind source separation (JBSS); Kotz distribution; multivariate generalized Gaussian distribution; multivariate power exponential (MPE) distribution

Indexed keywords

INDEPENDENT VECTOR ANALYSIS; JOINT BLIND SOURCE SEPARATIONS; KOTZ DISTRIBUTION; LOWER BOUNDS; MULTIVARIATE GENERALIZED GAUSSIAN DISTRIBUTIONS; MULTIVARIATE POWER EXPONENTIAL (MPE) DISTRIBUTION;

INDEPENDENT COMPONENT ANALYSIS; SIGNAL PROCESSING;

BLIND SOURCE SEPARATION;

EID: 84890482114     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2013.6638257     Document Type: Conference Paper

References (19)

1. A. Hyvärinen, J. Karhunen, and E. Oja, Independent Component Analysis. Wiley-Interscience, 2001.
2. P. Comon and C. Jutten, Handbook of Blind Source Separation: Independent Component Analysis and Applications, 1st ed. Academic Press, 2010.
3. T. Kim, T. Eltoft, and T.-W. Lee, "Independent vector analysis: an extension of ICA to multivariate components," in Independent Component Analysis and Blind Signal Separation, ser. Lecture Notes in Comput. Sci. Springer Berlin / Heidelberg, 2006, vol. 3889, pp. 165-172.
4. T. Kim, H. T. Attias, S.-Y. Lee, and T.-W. Lee, "Blind source separation exploiting higher-order frequency dependencies," IEEE Trans. Audio Speech Lang. Process., vol. 15, no. 1, pp. 70-79, Jan. 2007.
5. M. Anderson, T. Adali, and X.-L. Li, "Joint blind source separation of multivariate Gaussian sources: Algorithms and performance analysis," IEEE Trans. Signal Process., vol. 60, no. 4, pp. 1672-1683, Apr. 2012.
6. P. Tichavský, Z. Koldovský, and E. Oja, "Performance analysis of the FastICA algorithm and Cramér-Rao bounds for linear independent component analysis," IEEE Trans. Signal Process., vol. 54, no. 4, pp. 1189-1203, Apr. 2006.
7. E. Ollila, K. Hyon-Jung, and V. Koivunen, "Compact Cramér-Rao bound expression for independent component analysis," IEEE Trans. Signal Process., vol. 56, no. 4, pp. 1421-1428, Apr. 2008.
8. X.-L. Li and X.-D. Zhang, "Nonorthogonal joint diagonalization free of degenerate solution," IEEE Trans. Signal Process., vol. 55, no. 5, pp. 1803-1814, May 2007.
9. M. Anderson, X.-L. Li, P. Rodriguez, and T. Adali, "An effective decoupling method for matrix optimization and its application to the ICA problem," in Proc. IEEE Int. Conf. Acoust., Speech Signal Process. (ICASSP), Mar. 2012, pp. 1885-1888.
10. X.-L. Li and T. Adali, "Independent component analysis by entropy bound minimization," IEEE Trans. Signal Process., vol. 58, no. 10, pp. 5151-5164, Oct. 2010.
11. M. Anderson, X.-L. Li, and T. Adali, "Nonorthogonal independent vector analysis using multivariate Gaussian model," in Latent Variable Analysis and Signal Separation, ser. Lecture Notes in Comput. Sci. Springer Berlin / Heidelberg, 2010, vol. 6365, pp. 354-361.
12. A. Yeredor, "Blind separation of Gaussian sources with general covariance structures: Bounds and optimal estimation," IEEE Trans. Signal Process., vol. 58, no. 10, pp. 5057-5068, Oct. 2010.
13. T. Adali, M. Anderson, and G. Fu, "IVA and ICA: Use of diversity in independent decompositions," in Signal Processing Conference (EUSIPCO), 2012 Proceedings of the 20th European, Aug. 2012, pp. 61-65.
14. G.-S. Fu, M. Anderson, R. Phlypo, and T. Adali, "Algorithms for Markovian source separation by entropy rate minimization," in Proc. IEEE Int. Conf. Acoust., Speech Signal Process. (ICASSP), 2013, accepted.
15. S. Kotz, "Multivariate distributions at a cross-road," Statistical Distributions in Scientific Work, 1975.
16. S. Nadarajah, "The Kotz-type distribution with applications," Statistics, pp. 341-358, 2003.
17. J. Gurland, "An inequality satisfied by the gamma function," Scandinavian Actuarial Journal, vol. 29, pp. 171-172, 1956.
18. M. Merkle, "Gurland's ratio for the gamma function," Computers & Mathematics with Applications, vol. 49, no. 2-3, pp. 389-406, 2005.
19. S. S. Dragomir, R. P. Agarwal, and N. S. Barnett, "Inequalities for beta and gamma functions via some classical and new integral inequalities," Journal of Inequalities and Applications, vol. 5, pp. 103-165, 2000.