Abstract
The purpose of this paper is to develop novel Blind Source Separation (BSS) algorithms from linear mixtures of them, which enable to separate and extract (Blind Signal Extraction (BSE)) dependent source signals. Most of the proposed algorithms for solving BSS problem rely on independence or at least uncorrelation assumption of source signals. However, in practice, the latent sources are usually dependent to some extent. On the other hand, there is a large variety of applications that require considering sources that usually behave light or strong dependence. The proposed algorithm is developed based on the wavelet coefficient representations using continuous wavelet transformation(CWT) which only requires slight differences in the CWT coefficient of the considered signals in the same scale. Moreover the proposed algorithm can extract the desired signals in the overcomplete conditions. Simulation results show that the proposed algorithm is able to extract the dependent signals and yield ideal performance.
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References
Cichocki, A., Amari, S.: Adaptive Blind Signal and Adaptive Blind Signal and Image Processing. John Wiley&Sons, New York (2002)
Hyvarinen, A., Karhunen, J., Oja, E.: Independent component analysis. John Wiley&Sons, New York (2001)
Comon, P.: Independent Component Analysis: A New Concept? Signal Processing 36, 287–314 (1994)
Amari, S.: Natural Gradient Works Efficiently in Learning. Neural Computation 10, 251–276 (1998)
Zhang, X.D., Zhu, X.L., Bao, Z.: Grading Learning for Blind Source Separation. Science in China (Series F) 46, 31–44 (2003)
Hyvarinen, A.: Blind source separation by nonstationarity of variance: a cumulant-based approach. IEEE Trans. Neural Networks 12, 1471–1474 (2001)
Parra, L., Spence, C.: Convolutive blind separation of nonstationary sources. IEEE Trans. Speech Audio Processing 8, 320–327 (2000)
Pham, D.T., Cardoso, J.F.: Blind separation of instantaneous mixtures of non-stationary sources. IEEE Trans. Signal Processing 49, 1837–1848 (2000)
Abrard, F., Deville, Y.: A time-frequency blind signal separation method applicable to underdetermined mixtures of dependent sources. Signal Processing 85, 1389–1403 (2005)
Hlawatsch, F., Boudreaux-Bartels, G.F.: Linear and quadratic time-frequency signal representations. IEEE Signal Processing Mag. 9, 21–67 (1992)
Belouchrani, A., Amin, M.G.: Blind source separation based on time-frequency signal representations. IEEE Trans. Signal Processing 46, 2888–2897 (1998)
Bofill, P., Zibulevsky, M.: Underdetermined blind source separation using sparse representation. Signal Processing 81, 2353–2362 (2001)
Abrard, F., Deville, Y.: A time-frequency blind signal separation method applicable to underdetermined mixtures of dependent sources. Signal Processing 85, 1389–1403 (2005)
Lee, T.W., et al.: Blind source separation of more sources than mixtures using overcomplete representations. IEEE Signal Processing Lett. 6, 87–90 (1999)
Puigt, M., Deville, Y.: Time-frequency ration-based blind separation methods for attenuated and time-delayed sources. Mechanical Systems and Signal Processing 19, 1348–1379 (2005)
Cardoso, J.F.: High-order contrasts for independent component analysis. Neural Computation 11, 157–192 (1999)
Hyvarinen, A., Oja, E.: A fast fixed-point algorithm for independent component analysis. Neural Computation 10, 1483–1492 (1998)
Belouchrani, A., et al.: A blind source separation technique using second order statistics. IEEE Trans. on Signal Processing 45, 434–444 (1998)
Georgiev, P., Cichocki, A.: Robust blind source separation utilizing second and fourth order statistics. In: Dorronsoro, J.R. (ed.) ICANN 2002. LNCS, vol. 2415, pp. 1162–1167. Springer, Heidelberg (2002)
Amari, S., Chen, T., Cichocki, A.: Nonholonomic orthogonal learning algorithms for blind source separation. Neural Computation 12, 1463–1484 (2000)
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Li, R., Wang, F. (2007). Efficient Wavelet Based Blind Source Separation Algorithm for Dependent Sources. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_47
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DOI: https://doi.org/10.1007/978-3-540-71441-5_47
Publisher Name: Springer, Berlin, Heidelberg
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