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A Mixing Matrix Estimation Algorithm for Underdetermined Blind Source Separation

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Abstract

This paper considers mixing matrix estimation for underdetermined blind source separation. First, we propose an effective detection algorithm to identify single source points where only one source occurs. The detection algorithm finds single source points by utilizing the time–frequency coefficients of mixed signals and the complex conjugates of the coefficients. Then, a method based on probability density is proposed in order to find more reliable single source points and cluster them. Finally, the mixing matrix is obtained through re-selecting and clustering single source points. The experimental results indicate that the algorithm can accurately estimate the mixing matrix when there are fewer sensors than sources.

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Acknowledgments

This work is supported by National Natural Science Foundation of China (No. 61301095), the Heilongjiang Province Natural Science Foundation (No. F201345) and the Fundamental Research Funds for the Central Universities of China (No. HEUCF150812).

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Authors and Affiliations

  1. College of Information and Communication Engineering, Harbin Engineering University, Harbin, 150001, China

    Yibing Li, Wei Nie, Fang Ye & Yun Lin

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  1. Yibing Li
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  2. Wei Nie
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  3. Fang Ye
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  4. Yun Lin
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Correspondence to Fang Ye.

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Li, Y., Nie, W., Ye, F. et al. A Mixing Matrix Estimation Algorithm for Underdetermined Blind Source Separation. Circuits Syst Signal Process 35, 3367–3379 (2016). https://doi.org/10.1007/s00034-015-0198-y

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  • DOI: https://doi.org/10.1007/s00034-015-0198-y

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