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Blind separation of linear-quadratic mixtures of real sources using a recurrent structure

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Artificial Neural Nets Problem Solving Methods (IWANN 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2687))

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Abstract

In this paper, we propose an approach for separating linearquadratic mixtures of independent real sources. The method is based on parametric identification of a recurrent separating structure by means of an adaptive algorithm which uses the higher-order statistics of the outputs of this structure. We study the local stability of the recurrent structure and show experimentally that when it is stable at the separating point, it succeeds in separating the sources.

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References

  1. A. Hyvarinen, J. Karhunen, and E. Oja, Independent Component Analysis, J. Wiley, 2001.

    Google Scholar 

  2. A. Cichocki and S.-I. Amari, Adaptive Blind Signal and Image Processing—Learning Algorithms and Applications, J. Wiley, 2002.

    Google Scholar 

  3. A. Hyvarinen and P. Pajunen, Nonlinear independent component analysis: Existence and uniqueness results, Neural Networks, vol. 12, no. 3, pp. 429–439, 1999.

    Article  Google Scholar 

  4. A. Taleb and C. Jutten, Source separation in post-nonlinear mixtures, IEEE Trans. on Signal Processing, vol. 47, no. 10, pp. 2807–2820, 1999.

    Article  Google Scholar 

  5. L. Almeida, Linear and nonlinear ICA based on mutual information, In Proc. IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (AS-SPCC), pp. 117–122, Lake Louise, Canada, October 2000.

    Google Scholar 

  6. J. Eriksson and V. Koivunen, Blind identifiability of class of nonlinear instantaneous ICA models. In Proc. of the XI European Signal Proc. Conf. (EUSIPCO 2002), volume 2, pp. 7–10, Toulouse, France, September 2002.

    Google Scholar 

  7. S. Hosseini and C. Jutten, On the separability of nonlinear mixtures of temporally correlated sources, IEEE Signal Processing Letters, vol. 10, no. 2, pp. 43–46, February 2003.

    Article  Google Scholar 

  8. C. Jutten, B. Babaie-Zadeh, S. Hosseini, Three easy ways for separating nonlinear mixtures, submitted to Signal Processing.

    Google Scholar 

  9. M. Krob and M. Benidir, Blind identification of a linear-quadratic model using higher-order statistics, In Proc. ICASSP, vol. 4, pp. 440–443, 1993.

    Google Scholar 

  10. K. Abed-Meraim, A. Belouchrani, and Y. Hua, Blind identification of a linearquadratic mixture of independent components based on joint diagonalization procedure, In Proc. ICASSP, pp. 2718–2721, Atlanta, USA, May 1996.

    Google Scholar 

  11. C. Jutten and J. Hérault, Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture, Signal Processing, 24:1–10, 1991.

    Article  MATH  Google Scholar 

  12. T. Nguyen and C. Jutten, Blind source separation for convolutive mixtures, Signal Processing, vol. 45, no. 2, pp. 209–229, 1995.

    Article  MATH  Google Scholar 

  13. N. Charkani and Y. Deville, Self-adaptive separation of convolutively mixed signals with a recursive structure. Part I: Stability analysis and optimization of asymptotic behaviour, Signal Processing, vol. 73, n. 3, pp. 225–254, 1999.

    Article  MATH  Google Scholar 

  14. N. Charkani and Y. Deville, Self-adaptive separation of convolutively mixed signals with a recursive structure. Part II: Theoretical extensions and application to synthetic and real signals, Signal Processing, vol. 75, n. 2, pp. 117–140, 1999.

    Article  MATH  Google Scholar 

  15. C. Mira, L. Gardini, A. Barugola, and J.C. Cathala, Chaotic Dynamics in two-dimensional noninvertible maps, World Scientific, Series A on Nonlinear Sciences, vol. 20, 1996.

    Google Scholar 

  16. Y. Deville, Analysis of the convergence properties of self-normalized source separation neural networks, IEEE Transactions on Signal Processing, vol. 47, n. 5, pp. 1272–1287, May 1999.

    Article  MathSciNet  MATH  Google Scholar 

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Hosseini, S., Deville, Y. (2003). Blind separation of linear-quadratic mixtures of real sources using a recurrent structure. In: Mira, J., Álvarez, J.R. (eds) Artificial Neural Nets Problem Solving Methods. IWANN 2003. Lecture Notes in Computer Science, vol 2687. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44869-1_31

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  • DOI: https://doi.org/10.1007/3-540-44869-1_31

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40211-4

  • Online ISBN: 978-3-540-44869-3

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