A convex geometry based blind source separation method for separating nonnegative sources
This paper presents a convex geometry (CG)-based method for blind separation of nonnegative sources. First, the unaccessible source matrix is normalized to be column-sum-to-one by mapping the available observation matrix. Then, its zero-samples are found by searching the facets of the convex hullspa...
| Main Authors: | , , , |
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| Format: | Journal Article |
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Institute of Electrical and Electronics Engineers
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/46397 |
| _version_ | 1848757545921937408 |
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| author | Yang, Z. Xiang, Y. Rong, Yue Xie, K. |
| author_facet | Yang, Z. Xiang, Y. Rong, Yue Xie, K. |
| author_sort | Yang, Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper presents a convex geometry (CG)-based method for blind separation of nonnegative sources. First, the unaccessible source matrix is normalized to be column-sum-to-one by mapping the available observation matrix. Then, its zero-samples are found by searching the facets of the convex hullspanned by the mapped observations. Considering these zerosamples, a quadratic cost function with respect to each row of the unmixing matrix, together with a linear constraint in relation to the involved variables, is proposed. Upon which, an algorithm is presented to estimate the unmixing matrix by solving a classical convex optimization problem. Unlike the traditional blind source separation (BSS) methods, the CG-based method does not require the independence assumption, nor the uncorrelation assumption. Compared with the BSS methods that are specifically designed to distinguish between nonnegative sources, the proposed method requires a weaker sparsity condition. Provided simulation results illustrate the performance of our method. |
| first_indexed | 2025-11-14T09:29:48Z |
| format | Journal Article |
| id | curtin-20.500.11937-46397 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:29:48Z |
| publishDate | 2014 |
| publisher | Institute of Electrical and Electronics Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-463972018-05-10T23:40:32Z A convex geometry based blind source separation method for separating nonnegative sources Yang, Z. Xiang, Y. Rong, Yue Xie, K. correlated sources convex geometry (CG) Blind source separation (BSS) nonnegative sources This paper presents a convex geometry (CG)-based method for blind separation of nonnegative sources. First, the unaccessible source matrix is normalized to be column-sum-to-one by mapping the available observation matrix. Then, its zero-samples are found by searching the facets of the convex hullspanned by the mapped observations. Considering these zerosamples, a quadratic cost function with respect to each row of the unmixing matrix, together with a linear constraint in relation to the involved variables, is proposed. Upon which, an algorithm is presented to estimate the unmixing matrix by solving a classical convex optimization problem. Unlike the traditional blind source separation (BSS) methods, the CG-based method does not require the independence assumption, nor the uncorrelation assumption. Compared with the BSS methods that are specifically designed to distinguish between nonnegative sources, the proposed method requires a weaker sparsity condition. Provided simulation results illustrate the performance of our method. 2014 Journal Article http://hdl.handle.net/20.500.11937/46397 10.1109/TNNLS.2014.2350026 Institute of Electrical and Electronics Engineers fulltext |
| spellingShingle | correlated sources convex geometry (CG) Blind source separation (BSS) nonnegative sources Yang, Z. Xiang, Y. Rong, Yue Xie, K. A convex geometry based blind source separation method for separating nonnegative sources |
| title | A convex geometry based blind source separation method for separating nonnegative sources |
| title_full | A convex geometry based blind source separation method for separating nonnegative sources |
| title_fullStr | A convex geometry based blind source separation method for separating nonnegative sources |
| title_full_unstemmed | A convex geometry based blind source separation method for separating nonnegative sources |
| title_short | A convex geometry based blind source separation method for separating nonnegative sources |
| title_sort | convex geometry based blind source separation method for separating nonnegative sources |
| topic | correlated sources convex geometry (CG) Blind source separation (BSS) nonnegative sources |
| url | http://hdl.handle.net/20.500.11937/46397 |