A Double Referenced Contrast for Blind Source Separation
This paper addresses the problem of blind source separation
(BSS). To recover original signals, from linear instantaneous
mixtures, we propose a new contrast function based on the use of a
double referenced system. Our approach assumes statistical independence
sources. The reference vectors will be incrusted in the cumulant
to evaluate the independence. The estimation of the separating matrix
will be performed in two steps: whitening observations and joint
diagonalization of a set of referenced cumulant matrices. Computer
simulations are presented to demonstrate the effectiveness of the
suggested approach.
[1] P. Comon, "Independent component analysis, a new concept?", Signal
Processing, Vol. 36, No. 3, pp. 287-314, April 1994.
[2] A. Belouchrani, K. Abed-Meraim, J.F. Cardoso, and E. Moulines, "A
blind source separation technique using second-order statistics", IEEE
Trans. On. Sig. Proc., Vol. 45, No. 2, pp. 434-444, February 1997.
[3] S. Capozziello and M. Funaro, "Separation of Artifacts and Events in
Astrophysical Images using Independent Component Analysis", International
Journal of Computational Cognition., Vol. 3, No. 2, pp. 34-45,
June 2005.
[4] T. Ristaniemi and J. Joutsensalo, "Advanced ICA-based receivers for
DS-CDMA systems", IEEE. Int. Conf on Personal, Mobile and Radio
Communication (PIMRC-00), 276-281, London, UK, September, 2000.
[5] D. E. Callan, A. M. Callana, C. Kroosb and E. Vatikiotis-Batesonb,
"Multimodal contribution to speech perception revealed by independent
component analysis: a single-sweep eeg case study", Cognitive Brain
Research, 10(3):349-353, January, 2001.
[6] A. Greco, N. Mammone, F. C. Morabito, and M. Versaci, "Kurtosis,
Renyi-s Entropy and Independent Component Scalp Maps for the
Automatic Artifact Rejection from EEG data", International Journal
of Signal Processing, Vol. 2, No.4, pp. 240-244, 2006.
[7] J. F. Cardoso and A. Souloumiac. "Blind beamforming for non gaussian
signals", IEE Proceedings-F, Vol. 140, No. 6, pp. 362-370, December
1993.
[8] A. Adib, E. Moreau, and D. Aboutajdine, "Sources separation using
a reference signal". IEEE Signal Processing Letters, Vol. 11, No. 3,
pp. 312315, March 2004.
[9] A. Jbari, A. Adib, and D. Aboutajdine, "Solution analytique et
g'en'eralisation d-un contraste `a r'ef'erence", In GRETSI05, pp. 1065-
1068, Louvain-la-Neuve, 69 Septembre 2005.
[10] S. Choi and A. Cichocki, "Blind separation of non stationary sources in
noisy mixture", Electronics Letters, Vol. 36, No.9, pp. 848-849, April
2000.
[1] P. Comon, "Independent component analysis, a new concept?", Signal
Processing, Vol. 36, No. 3, pp. 287-314, April 1994.
[2] A. Belouchrani, K. Abed-Meraim, J.F. Cardoso, and E. Moulines, "A
blind source separation technique using second-order statistics", IEEE
Trans. On. Sig. Proc., Vol. 45, No. 2, pp. 434-444, February 1997.
[3] S. Capozziello and M. Funaro, "Separation of Artifacts and Events in
Astrophysical Images using Independent Component Analysis", International
Journal of Computational Cognition., Vol. 3, No. 2, pp. 34-45,
June 2005.
[4] T. Ristaniemi and J. Joutsensalo, "Advanced ICA-based receivers for
DS-CDMA systems", IEEE. Int. Conf on Personal, Mobile and Radio
Communication (PIMRC-00), 276-281, London, UK, September, 2000.
[5] D. E. Callan, A. M. Callana, C. Kroosb and E. Vatikiotis-Batesonb,
"Multimodal contribution to speech perception revealed by independent
component analysis: a single-sweep eeg case study", Cognitive Brain
Research, 10(3):349-353, January, 2001.
[6] A. Greco, N. Mammone, F. C. Morabito, and M. Versaci, "Kurtosis,
Renyi-s Entropy and Independent Component Scalp Maps for the
Automatic Artifact Rejection from EEG data", International Journal
of Signal Processing, Vol. 2, No.4, pp. 240-244, 2006.
[7] J. F. Cardoso and A. Souloumiac. "Blind beamforming for non gaussian
signals", IEE Proceedings-F, Vol. 140, No. 6, pp. 362-370, December
1993.
[8] A. Adib, E. Moreau, and D. Aboutajdine, "Sources separation using
a reference signal". IEEE Signal Processing Letters, Vol. 11, No. 3,
pp. 312315, March 2004.
[9] A. Jbari, A. Adib, and D. Aboutajdine, "Solution analytique et
g'en'eralisation d-un contraste `a r'ef'erence", In GRETSI05, pp. 1065-
1068, Louvain-la-Neuve, 69 Septembre 2005.
[10] S. Choi and A. Cichocki, "Blind separation of non stationary sources in
noisy mixture", Electronics Letters, Vol. 36, No.9, pp. 848-849, April
2000.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:55715", author = "Atman Jbari and Abdellah Adib and Driss Aboutajdine", title = "A Double Referenced Contrast for Blind Source Separation", abstract = "This paper addresses the problem of blind source separation
(BSS). To recover original signals, from linear instantaneous
mixtures, we propose a new contrast function based on the use of a
double referenced system. Our approach assumes statistical independence
sources. The reference vectors will be incrusted in the cumulant
to evaluate the independence. The estimation of the separating matrix
will be performed in two steps: whitening observations and joint
diagonalization of a set of referenced cumulant matrices. Computer
simulations are presented to demonstrate the effectiveness of the
suggested approach.", keywords = "Blind source separation, Referenced Cumulant, Contrast, Joint Diagonalization.", volume = "3", number = "11", pages = "972-4", }