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Neural-Based Separating Method for Nonlinear Mixtures

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Advances in Neural Networks – ISNN 2007 (ISNN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4493))

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Abstract

A neural-based method for source separation in nonlinear mixture is proposed in this paper. A cost function, which consists of the mutual information and partial moments of the outputs of the separation system, is defined to extract the independent signals from their nonlinear mixtures. A learning algorithm for the parametric RBF network is established by using the stochastic gradient descent method. This approach is characterized by high learning convergence rate of weights, modular structure, as well as feasible hardware implementation. Successful experimental results are given at the end of this paper.

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References

  1. Papadias, C.B., Paulraj, A.: A Constant Modulus Algorithm for Multi-user Signal Separation in Presence of Delay Dpread Using Antenna Arrays. IEEE Signal Processing Letters 4, 178–181 (1997)

    Article  Google Scholar 

  2. Herault, J., Jutten, C.: Space or Time Adaptive Signal Processing by Neural Network Models. In: Denker, J.S. (ed.) Proc. AIP Conf. on Neural Networks for Computing, Snowbird, UT, pp. 206–211. Amer. Inst. Phys., Woodbury (1986)

    Google Scholar 

  3. Jutten, C., Herault, J.: Blind Separation of Sources, Part I: An Adaptive Algorithm Based on Neuromimetic Architecture. Signal Processing 24, 1–20 (1991)

    Article  MATH  Google Scholar 

  4. Hyvarinen, A., Pajunen, P.: Nonlinear Independent Component Analysis: Existence and Uniqueness Results. Neural Networks 12, 429–439 (1999)

    Article  Google Scholar 

  5. Deco, G., Brauer, W.: Nonlinear Higher-order Statistical Decorrelation by Volume- conserving Neural Architectures. Neural Networks 8, 525–535 (1995)

    Article  Google Scholar 

  6. Pajunen, P., Hyvarinen, A., Karhunen, J.: Nonliner Blind Source Separation by Self-organizing Maps. In: Progress in Neural Information Processing: Proceedings of ICONIP’96, vol. 2, pp. 1207–1210. Springer, Heidelberg (1996)

    Google Scholar 

  7. Burel, G.: Blind Separation of Sources: a Nonlinear Neural Algorithm. Neural Networks 5, 937–947 (1992)

    Article  Google Scholar 

  8. Yang, H.H., Amari, S., Cichocki, A.: Information Back-propagation for Blind Separation of Sources from Non-linear Mixture. In: Proc. IEEE IJCNN, Houston, USA, pp. 2141–2146 (1997)

    Google Scholar 

  9. Taleb, A., Jutten, C., Olympieff, S.: Source Separation in Post Nonlinear Mixtures: an Entropy-based Algorithm. In: Proc. ESANN’98, pp. 2089–2092 (1998)

    Google Scholar 

  10. Amari, S., Cichocki, A., Yang, H.H.: A New Learning Algorithm for Blind Signal Separtion. In: Touretzky, D.S., Mozer, M.C., Hasselmo, M.E. (eds.) Advances in Neural Information Processing Systems, vol. 8, pp. 757–763. MIT Press, Cambridge (1996)

    Google Scholar 

  11. Cichocki, A., Unbehauen, R.: Robust Neural Networks with On-line Learning for Blind identification and Blind Separation of Sources. IEEE Trans. Circuits and Systems I 43, 894–906 (1996)

    Article  Google Scholar 

  12. Tan, Y., Wang, J., Zurada, J.M.: Nonlinear Blind Source Separation Using Radial Basis Function Networks. IEEE Transaction on Neural Networks 12(1), 124–134 (2001)

    Article  Google Scholar 

  13. Tan, Y., Wang, J.: Nonlinear Blind Separation Using Higher-Order Statistics and A Genetic Algorithm. IEEE Transaction on Evolutionary Computation 5(6), 600–612 (2001)

    Article  Google Scholar 

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Derong Liu Shumin Fei Zengguang Hou Huaguang Zhang Changyin Sun

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© 2007 Springer Berlin Heidelberg

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Tan, Y. (2007). Neural-Based Separating Method for Nonlinear Mixtures. In: Liu, D., Fei, S., Hou, Z., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4493. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72395-0_87

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  • DOI: https://doi.org/10.1007/978-3-540-72395-0_87

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72394-3

  • Online ISBN: 978-3-540-72395-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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