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A Sufficient Condition for Separation of Deterministic Signals Based on Spatial Time-Frequency Representations

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Independent Component Analysis and Blind Signal Separation (ICA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3195))

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Abstract

The paper is devoted to blind separation of deterministic source signals based on time-frequency representations. Our main result is to show that the joint-diagonalization of a number of spatial quadratic transform matrices of the observation signals is sufficient for separation and we give the minimum number. A computer simulation illustrate the result.

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References

  1. Belouchrani, A., Amin, M.G.: Blind source separation based on time-frequency signal representations. IEEE Trans. Signal Processing 46(11), 2888–2897 (1998)

    Article  Google Scholar 

  2. Belouchrani, A., Abed-Meraim, K., Amin, M.G., Zoubir, A.M.: Joint antidiagonalisation for blind source separation. In: Proc. ICASSP 2001, Salt Lake City, USA, May 2001, pp. 2789–2792 (2001)

    Google Scholar 

  3. Giulieri, L., Thirion-Moreau, N., Arquès, P.-Y.: Blind sources separation based on bilinear time-frequency representations: a performance analysis. In: Proc. ICASSP 2002, Orlando, USA, May 2002, pp. 1649–1650 (2002)

    Google Scholar 

  4. Giulieri, L., Thirion-Moreau, N., Arquès, P.-Y.: Blind sources separation based on quadratic time-frequency representations: a method without pre-whitening. In: Proc. ICASSP 2003, Honk-Kong, April 2003, vol. V, pp. 289–292 (2003)

    Google Scholar 

  5. Comon, P.: Independent component analysis, a new concept? Signal Processing 36(3), 287–314 (1994); Special issue on Higher Order Statistics

    Article  Google Scholar 

  6. Moreau, E., Thirion-Moreau, N.: Nonsymmetrical contrasts for source separation. IEEE Trans. Signal Processing 47(8), 2241–2252 (1999)

    Article  Google Scholar 

  7. Moreau, E.: A generalization of joint-diagonalization criteria for source separation. IEEE Trans. Signal Processing 49(3), 530–541 (2001)

    Article  Google Scholar 

  8. Cardoso, J.-F., Souloumiac, A.: Blind beamforming for non-gaussian signals. IEE proceedings-F 40, 362–370 (1993)

    Google Scholar 

  9. Cardoso, J.-F., Souloumiac, A.: Jacobi angles for simultaneous diagonalization. SIAM Journal of Matrix Analysis and Applications 17(1), 161–164 (1996)

    Article  MathSciNet  Google Scholar 

  10. Flandrin, P.: Time-Frequency/Time-Scale Analysis. Academic Press, London (1999)

    MATH  Google Scholar 

  11. Cohen, L.: Time-Frequency Analysis. Prentice-Hall, Englewood Cliffs (1995)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Thirion-Moreau, N., Fadaili, E.M., Moreau, E. (2004). A Sufficient Condition for Separation of Deterministic Signals Based on Spatial Time-Frequency Representations. 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_47

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  • DOI: https://doi.org/10.1007/978-3-540-30110-3_47

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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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