A Double Referenced Contrast for Blind Source Separation
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A Double Referenced Contrast for Blind Source Separation

Authors: Atman Jbari, Abdellah Adib, Driss Aboutajdine

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.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1063282

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References:


[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.