Abstract
In underdetermined blind source separation problems, it is common practice to exploit the underlying sparsity of the sources for demixing. In this work, we propose two sparse decomposition algorithms for the separation of linear instantaneous speech mixtures. We also show how a properly chosen dictionary can improve the performance of such algorithms by improving the sparsity of the underlying sources. The first algorithm proposes the use of a single channel Bounded Error Subset Selection (BESS) method for robustly estimating the mixing matrix. The second algorithm is a decomposition method that performs a constrained decomposition of the mixtures over a stereo dictionary.
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References
Aharon, M., Elad, M., Bruckstein, A.: The K-SVD: An Algorithm for Designing of Overcomplete Dictionaries for Sparse Representation. IEEE Trans. on Signal Processing 54, 4311–4322 (2006)
Vincent, E., Gribonval, R., Fevotte, C., et al.: BASS-dB: the blind audio source separation evaluation database, Available on-line http://www.irisa.fr/metiss/BASS-dB/
Alghoniemy, M., Tewfik, A.H.: Reduced Complexity Bounded Error Subset Selection In: IEEE Int. Conf. Acoustics, Speech and Signal Processing (ICASSP), pp. 725–728 (March 2005)
Fevotte, C., Godsill, S.: A Bayesian approach for blind separation of sparse sources. IEEE Trans. on Speech and Audio Processing 14, 2174–2188 (2006)
Gribonval, R.: Sparse decomposition of stereo signals with Matching Pursuit and application to blind separation of more than two sources from a stereo mixture. In: IEEE Int. Conf. Acoustics, Speech and Signal Processing (ICASSP), vol. 3, pp. 3057–3060 (May 2002)
Mallat, S.: A Wavelet Tour of Signal Processing, 2nd edn. Academic Press, San Diego (1999)
Shindo, H., Hirai, Y.: Blind Source Separation by a Geometrical Method. In: Proceedings of the 2002 International Joint Conference on Neural Networks (IJNN), pp. 1109–1114 (May 2002)
Mallat, S., Zhang, Z.: Matching Pursuit with Time-frequency Dictionaries. IEEE Trans. on Signal Processing 41, 3397–3415 (1993)
Tan, V.Y., Fevotte, C.: A study of the effect of source sparsity for various transforms on blind audio source separation performance. In: Workshop on Signal Processing with Adaptative Sparse Structured Representations (SPARS 2005), Rennes, France (November 2005)
Zibulevsky, M., Pearlmutter, B.A., Bofill, P., Kisilev, P.: Blind Source Separation by Sparse Decomposition. In: chapter in the book: Roberts, S.J., Everson, R.M. (eds.) Independent Component Analysis: Principles and Practice, Cambridge (2001)
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© 2007 Springer-Verlag Berlin Heidelberg
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Gowreesunker, B.V., Tewfik, A.H. (2007). Two Improved Sparse Decomposition Methods for Blind Source Separation. In: Davies, M.E., James, C.J., Abdallah, S.A., Plumbley, M.D. (eds) Independent Component Analysis and Signal Separation. ICA 2007. Lecture Notes in Computer Science, vol 4666. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74494-8_46
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DOI: https://doi.org/10.1007/978-3-540-74494-8_46
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74493-1
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