Abstract
A new approach for convolutive blind source separation(BSS) using penalty functions is proposed in this paper. Motivated by nonlinear programming techniques for the constrained optimization problem, it converts the convolutive BSS into a joint diagonalization problem with unconstrained optimization. Theoretical analyses together with numerical evaluations reveal that the proposed method not only improves the separation performance by significantly reducing the effect of large errors within the elements of covariance matrices at low frequency bins and removes the degenerate solution induced by a null unmixing matrix, but also provides an unified framework to constrained BSS.
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References
Cichocki, A., Amari, S.: Adaptive Blind Signal and Image Processing: Learning Algorithms and Applications. John Wiley, Chichester (2002)
Smaragdis, P.: Blind separation of convolved mixtures in the frequency domain. Neurocomputing 22, 21–34 (1998)
Rahbar, K., Reilly, J.: Blind source separation of convolved sources by joint approximate diagonalization of cross-spectral density matrices. In: Proc. ICASSP (May 2001)
Parra, L., Spence, C.: Convolutive blind source separation of nonstationary sources. In: IEEE Trans. on Speech and Audio Proc., May 2000, pp. 320–327 (2000)
Wang, W., Chambers, J.A., Sanei, S.: A joint diagonalization method for convolutive blind separation of nonstationary sources in the frequency domain. In: Proc. ICA, Nara, Japan (April 1-4, 2003)
Joho, M., Mathis, H.: Joint diagonalization of correlation matrices by using gradient methods with application to blind signal separation. In: Proc. SAM, Rosslyn, VA, August 4-6 (2002)
Bazaraa, M.S., Sherali, H.D., Shetty, C.M.: Nonlinear Programming Theory and Algorithms, 2nd edn. John Wiley & Sons Inc., Chichester (1993)
Murata, N., Ikeda, S., Ziehe, A.: An approach to blind source separation based on temporal structure of speech signals. Neurocomputing 41, 1–24 (2001)
Cichocki, A., Unbehauen, R.: Neural Networks for Optimization and Signal Processing. Wiley, Chichester (1993)
Cichocki, A., Georgiev, P.: Blind source separation algorithms with matrix constraints. IEICE Trans. on Fundamentals of Elect. Comm. and Computer Science E86-A, 522–531 (2003)
Cardoso, J.-F., Laheld, B.: Equivariant adaptive source separation. IEEE Trans. Signal Processing 44, 3017–3030 (1996)
Douglas, S.C., Amari, S., Kung, S.-Y.: On gradient adaptation with unit norm constraints. IEEE Trans. Signal Processing 48(6), 1843–1847 (2000)
Douglas, S.C.: Self-stabilized gradient algorithms for blind source separation with orthogonality constraints. IEEE Trans. on Neural Networks 11(6), 1490–1497 (2000)
Manton, J.H.: Optimisation algorithms exploiting unitary constraints. IEEE Trans. Signal Processing 50, 635–650 (2002)
Amari, S., Chen, T.P., Cichocki, A.: Nonholonomic orthogonal learning algorithms for blind source separation. Neural Computation 12, 1463–1484 (2000)
Plumbley, M.D.: Algorithms for non-negative independent component analysis. IEEE Transactions on Neural Networks 14(3), 534–543 (2003)
Parra, L., Alvino, C.: Geometric Source Separation: Merging convolutive source separation with geometric beamforming. IEEE Trans. on Speech and Audio Processing 10(6), 352–362 (2002)
Lee, T.W., Bell, A.J., Lambert, R.: Blind separation of delayed and convolved sources. In: Advances in neural information processing systems 9, pp. 758–764. MIT Press, Cambridge (1997)
Anemüller, J.: http://medi.uni-oldenburg.de/members/ane
Westner: http://www.media.mit.edu/~westner
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Wang, W., Chambers, J.A., Sanei, S. (2004). Penalty Function Approach for Constrained Convolutive Blind Source Separation. 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_84
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DOI: https://doi.org/10.1007/978-3-540-30110-3_84
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