- Research Article
- Open access
- Published:
Exploiting Narrowband Efficiency for Broadband Convolutive Blind Source Separation
EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 016381 (2006)
Abstract
Based on a recently presented generic broadband blind source separation (BSS) algorithm for convolutive mixtures, we propose in this paper a novel algorithm combining advantages of broadband algorithms with the computational efficiency of narrowband techniques. By selective application of the Szegö theorem which relates properties of Toeplitz and circulant matrices, a new normalization is derived as a special case of the generic broadband algorithm. This results in a computationally efficient and fast converging algorithm without introducing typical narrowband problems such as the internal permutation problem or circularity effects. Moreover, a novel regularization method for the generic broadband algorithm is proposed and subsequently also derived for the proposed algorithm. Experimental results in realistic acoustic environments show improved performance of the novel algorithm compared to previous approximations.
References
Hyvaerinen A, Karhunen J, Oja E: Independent Component Analysis. John Wiley & Sons, New York, NY, USA; 2001.
Buchner H, Aichner R, Kellermann W: TRINICON: a versatile framework for multichannel blind signal processing. Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '04), May 2004, Montreal, Quebec, Canada 3: 889–892.
Buchner H, Aichner R, Kellermann W: A generalization of blind source separation algorithms for convolutive mixtures based on second-order statistics. IEEE Transactions on Speech and Audio Processing 2005,13(1):120-134.
Buchner H, Aichner R, Kellermann W: Blind source separation for convolutive mixtures: a unified treatment. In Audio Signal Processing for Next-Generation Multimedia Communication Systems. Edited by: Huang Y, Benesty J. Kluwer Academic, Boston, Mass, USA; 2004:255-293.
Aichner R, Buchner H, Yan F, Kellermann W: A real-time blind source separation scheme and its application to reverberant and noisy acoustic environments. Signal Processing 2006,86(6):1260-1277. 10.1016/j.sigpro.2005.06.022
Haykin S: Adaptive Filter Theory. 4th edition. Prentice Hall, Englewood Cliffs, NJ, USA; 2002.
Markel JD, Gray AH: Linear Prediction of Speech. Springer, Berlin, Germany; 1976.
Aichner R, Buchner H, Kellermann W: On the causality problem in time-domain blind source separation and deconvolution algorithms. Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '05), March 2005, Philadelphia, Pa, USA 5: 181–184.
Parra L, Spence C: Convolutive blind separation of non-stationary sources. IEEE Transactions on Speech and Audio Processing 2000,8(3):320-327. 10.1109/89.841214
Gray RM: On the asymptotic eigenvalue distribution of Toeplitz matrices. IEEE Transactions on Information Theory 1972,18(6):725-730. 10.1109/TIT.1972.1054924
Sherman PJ: Circulant approximations of the inverses of Toeplitz matrices and related quantities with applications to stationary random processes. IEEE Transactions on Acoustics, Speech, and Signal Processing 1985,33(6):1630-1632. 10.1109/TASSP.1985.1164723
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Aichner, R., Buchner, H. & Kellermann, W. Exploiting Narrowband Efficiency for Broadband Convolutive Blind Source Separation. EURASIP J. Adv. Signal Process. 2007, 016381 (2006). https://doi.org/10.1155/2007/16381
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1155/2007/16381