Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging
The detection, localization, and characterization of a collection of targets embedded in a medium is an important problem in multistatic wave imaging. The responses between each pair of source and receiver are collected and assembled in the form of a response matrix, known as the multi-static respon...
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| Format: | Article |
| Language: | en_US |
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American Institute of Mathematical Sciences (AIMS)
2014
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| Online Access: | http://hdl.handle.net/1721.1/92522 |
| _version_ | 1826211651533144064 |
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| author | Ammari, Habib Garnier, Josselin Jugnon, Vincent |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Ammari, Habib Garnier, Josselin Jugnon, Vincent |
| author_sort | Ammari, Habib |
| collection | MIT |
| description | The detection, localization, and characterization of a collection of targets embedded in a medium is an important problem in multistatic wave imaging. The responses between each pair of source and receiver are collected and assembled in the form of a response matrix, known as the multi-static response matrix. When the data are corrupted by measurement or instrument noise, the structure of the response matrix is studied by using random matrix theory. It is shown how the targets can be efficiently detected, localized and characterized. Both the case of a collection of point reflectors in which the singular vectors have all the same form and the case of small-volume electromagnetic inclusions in which the singular vectors may have different forms depending on their magnetic or dielectric type are addressed. |
| first_indexed | 2024-09-23T15:09:22Z |
| format | Article |
| id | mit-1721.1/92522 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:09:22Z |
| publishDate | 2014 |
| publisher | American Institute of Mathematical Sciences (AIMS) |
| record_format | dspace |
| spelling | mit-1721.1/925222022-09-29T13:01:50Z Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging Ammari, Habib Garnier, Josselin Jugnon, Vincent Massachusetts Institute of Technology. Department of Mathematics Jugnon, Vincent The detection, localization, and characterization of a collection of targets embedded in a medium is an important problem in multistatic wave imaging. The responses between each pair of source and receiver are collected and assembled in the form of a response matrix, known as the multi-static response matrix. When the data are corrupted by measurement or instrument noise, the structure of the response matrix is studied by using random matrix theory. It is shown how the targets can be efficiently detected, localized and characterized. Both the case of a collection of point reflectors in which the singular vectors have all the same form and the case of small-volume electromagnetic inclusions in which the singular vectors may have different forms depending on their magnetic or dielectric type are addressed. ERC. Advanced Grant Project (MULTIMOD-267184) 2014-12-24T19:55:28Z 2014-12-24T19:55:28Z 2014-10 2014-01 Article http://purl.org/eprint/type/JournalArticle 1937-1632 http://hdl.handle.net/1721.1/92522 Ammari, Habib, Josselin Garnier, and Vincent Jugnon. “Detection, Reconstruction, and Characterization Algorithms from Noisy Data in Multistatic Wave Imaging.” DCDS-S 8, no. 3 (October 2014): 389–417. doi:10.3934/dcdss.2015.8.389. © American Institute of Mathematical Sciences en_US http://dx.doi.org/10.3934/dcdss.2015.8.389 Discrete and Continuous Dynamical Systems - Series S Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Institute of Mathematical Sciences (AIMS) American Institute of Mathematical Sciences |
| spellingShingle | Ammari, Habib Garnier, Josselin Jugnon, Vincent Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging |
| title | Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging |
| title_full | Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging |
| title_fullStr | Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging |
| title_full_unstemmed | Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging |
| title_short | Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging |
| title_sort | detection reconstruction and characterization algorithms from noisy data in multistatic wave imaging |
| url | http://hdl.handle.net/1721.1/92522 |
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