Abstract
The blind separation of overdetermined mixtures, i.e., the case where more sensors than sources are available is considered in this paper. The contrast function for overdetermined blind source separation problem is presented, together with its gradient. An iterative method is proposed to solve the overdetermined blind source separation problem, where Gaussian mixture model is used to estimate the density of the unknown sources. The result of simulation demonstrates the efficiency of the proposed algorithm.
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References
Comon, P., Jutten, C., Herault, J.: Blind separation of sources, part II: problems statement. Signal Processing 24(1), 11–20 (1991)
Cichocki, A., Amari, S.: Adaptive Blind Signal and Image Processing: learning algorithms and applications. John Wiley and Sons, Chichester (2002)
Joho, M., Mathis, H., Lambert, R.: Overdetermined blind source separation: Using more sensors than source signals in a noisy mixture. In: Proc. International Conference on Independent Component Analysis and Blind Signal Separation, Citeseer, pp. 81–86 (2000)
Zhang, L., Cichocki, A., Amari, S.: Natural gradient algorithm for blind separation of overdetermined mixture with additive noise. IEEE Signal Processing Letters 6(11), 293–295 (1999)
Golub, G.H., Van Loan, C.F.: Matrix computations. Johns Hopkins Univ. Press, Baltimore (1996)
Zhu, X., Zhang, X., Ye, J.: A Generalized Contrast Function and Stability Analysis for Overdetermined Blind Separation of Instantaneous Mixtures. Neural Computation 18(3), 709–728 (2006)
Xue, Y., Wang, Y., Yang, J.: Independent component analysis based on gradient equation and kernel density estimation. Neurocomputing 72(7-9), 1597–1604 (2009)
Duda, R., Hart, P., Stork, D.: Pattern Classification. Wiley-Interscience, Hoboken (2000)
The GMMBayes Toolbox, http://www2.it.lut.fi/project/gmmbayes
Amari, S., Cichocki, A., Yang, H.H.: A new learning algorithm for blind signal separation. 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)
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Wang, Y., Xue, Y. (2012). Overdetermined Blind Source Separation by Gaussian Mixture Model. In: Huang, DS., Gan, Y., Gupta, P., Gromiha, M.M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2011. Lecture Notes in Computer Science(), vol 6839. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25944-9_21
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DOI: https://doi.org/10.1007/978-3-642-25944-9_21
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