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Characterization of the Sources in Convolutive Mixtures: A Cumulant-Based Approach

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Independent Component Analysis and Blind Signal Separation (ICA 2004)

Abstract

This paper addresses the characterization of independent and non-Gaussian sources in a linear mixture. We present an eigensystem based approach to determine the number of independent components in the signal received by a single sensor. The temporal structure of the sources is also characterized using fourth-order statistics.

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References

  1. Araki, S., Makino, S., Blin, A., Mukai, R., Sawada, H.: Blind Separation of More Speech than Sensors with Less Distortion by Combining Sparseness and ICA. In: Proc. of IWAENC 2003, Kyoto, Japan (2003)

    Google Scholar 

  2. Benaroya, L., Bimbot, F.: Wiener based source separation with HMM/GMM using a single sensor. In: Proc. of 4th International Conference on Independent Component Analysis and Blind Signal Separation (ICA 2003), Nara, Japan (2003)

    Google Scholar 

  3. Cichocki, A., Amari, S.I.: Adaptive Blind Signal and Image Processing. John Wiley and Sons, Chichester (2002)

    Book  Google Scholar 

  4. Doukas, N., Stathaki, T., Naylor, P.: A single sensor souce separation approach to noise reduction. In: Proc. of the Second World Congress of Nonlinear Analysis, Athens, Greece (1996)

    Google Scholar 

  5. Fevotte, C., Doncarli, C.: A Unified Presentation of Blind Separation Methods for Convolutive Mixtures using Block-Diagonalization. In: Proc. of 4th International Conference on Independent Component Analysis and Blind Signal Separation (ICA 2003), Nara, Japan (2003)

    Google Scholar 

  6. Golub, G., van Loan, C.: Matrix Computations. The John Hopkins University Press, Baltimore (1996)

    MATH  Google Scholar 

  7. Haykin, S.: Adaptive Filter Theory. Prentice-Hall, Englewood Cliffs (1991)

    MATH  Google Scholar 

  8. Hyvärinen, A., Karhunen, J., Oja, E.: Independent Component Analysis. John Wiley and Sons, Chichester (2001)

    Book  Google Scholar 

  9. Lee, T.-W., Lewicki, M.S., Girolami, M., Sejnowski, T.J.: Blind Source Separation of More Sources than Mixtures Using Overcomplete Representations. IEEE Signal Processing Letters 4(4) (1999)

    Google Scholar 

  10. Nikias, C., Petropulu, A.: Higher-order spectra analysis. Prentice-Hall, Englewood Cliffs (1993)

    MATH  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Hornillo-Mellado, S., Puntonet, C.G., Martín-Clemente, R., Rodríguez-Álvarez, M., Górriz, J.M. (2004). Characterization of the Sources in Convolutive Mixtures: A Cumulant-Based Approach. In: Puntonet, C.G., Prieto, A. (eds) Independent Component Analysis and Blind Signal Separation. ICA 2004. Lecture Notes in Computer Science, vol 3195. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30110-3_75

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  • DOI: https://doi.org/10.1007/978-3-540-30110-3_75

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23056-4

  • Online ISBN: 978-3-540-30110-3

  • eBook Packages: Springer Book Archive

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