Geometrical Interpretation of the PCA Subspace Approach for Overdetermined Blind Source Separation
<p/> <p>We discuss approaches for blind source separation where we can use more sensors than sources to obtain a better performance. The discussion focuses mainly on reducing the dimensions of mixed signals before applying independent component analysis. We compare two previously propose...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-01-01
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| Series: | EURASIP Journal on Advances in Signal Processing |
| Online Access: | http://dx.doi.org/10.1155/ASP/2006/71632 |
| _version_ | 1818207728899719168 |
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| author | Winter S Sawada H Makino S |
| author_facet | Winter S Sawada H Makino S |
| author_sort | Winter S |
| collection | DOAJ |
| description | <p/> <p>We discuss approaches for blind source separation where we can use more sensors than sources to obtain a better performance. The discussion focuses mainly on reducing the dimensions of mixed signals before applying independent component analysis. We compare two previously proposed methods. The first is based on principal component analysis, where noise reduction is achieved. The second is based on geometric considerations and selects a subset of sensors in accordance with the fact that a low frequency prefers a wide spacing, and a high frequency prefers a narrow spacing. We found that the PCA-based method behaves similarly to the geometry-based method for low frequencies in the way that it emphasizes the outer sensors and yields superior results for high frequencies. These results provide a better understanding of the former method.</p> |
| first_indexed | 2024-12-12T04:33:32Z |
| format | Article |
| id | doaj.art-40b79ef7cfd241aab8eb8c321ec36507 |
| institution | Directory Open Access Journal |
| issn | 1687-6172 1687-6180 |
| language | English |
| last_indexed | 2024-12-12T04:33:32Z |
| publishDate | 2006-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EURASIP Journal on Advances in Signal Processing |
| spelling | doaj.art-40b79ef7cfd241aab8eb8c321ec365072022-12-22T00:38:01ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802006-01-0120061071632Geometrical Interpretation of the PCA Subspace Approach for Overdetermined Blind Source SeparationWinter SSawada HMakino S<p/> <p>We discuss approaches for blind source separation where we can use more sensors than sources to obtain a better performance. The discussion focuses mainly on reducing the dimensions of mixed signals before applying independent component analysis. We compare two previously proposed methods. The first is based on principal component analysis, where noise reduction is achieved. The second is based on geometric considerations and selects a subset of sensors in accordance with the fact that a low frequency prefers a wide spacing, and a high frequency prefers a narrow spacing. We found that the PCA-based method behaves similarly to the geometry-based method for low frequencies in the way that it emphasizes the outer sensors and yields superior results for high frequencies. These results provide a better understanding of the former method.</p>http://dx.doi.org/10.1155/ASP/2006/71632 |
| spellingShingle | Winter S Sawada H Makino S Geometrical Interpretation of the PCA Subspace Approach for Overdetermined Blind Source Separation EURASIP Journal on Advances in Signal Processing |
| title | Geometrical Interpretation of the PCA Subspace Approach for Overdetermined Blind Source Separation |
| title_full | Geometrical Interpretation of the PCA Subspace Approach for Overdetermined Blind Source Separation |
| title_fullStr | Geometrical Interpretation of the PCA Subspace Approach for Overdetermined Blind Source Separation |
| title_full_unstemmed | Geometrical Interpretation of the PCA Subspace Approach for Overdetermined Blind Source Separation |
| title_short | Geometrical Interpretation of the PCA Subspace Approach for Overdetermined Blind Source Separation |
| title_sort | geometrical interpretation of the pca subspace approach for overdetermined blind source separation |
| url | http://dx.doi.org/10.1155/ASP/2006/71632 |
| work_keys_str_mv | AT winters geometricalinterpretationofthepcasubspaceapproachforoverdeterminedblindsourceseparation AT sawadah geometricalinterpretationofthepcasubspaceapproachforoverdeterminedblindsourceseparation AT makinos geometricalinterpretationofthepcasubspaceapproachforoverdeterminedblindsourceseparation |