A Radio-interferometric Imaging Method Based on the Wavelet Tight Frame
Reconstructing the signal from measured visibilities in radio interferometry is an ill-posed inverse problem. In this paper, we present a novel radio-interferometric imaging method based on the wavelet tight frame aimed at efficiently obtaining an accurate solution. In our approach, the signal is sp...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2025-01-01
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| Series: | The Astronomical Journal |
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| Online Access: | https://doi.org/10.3847/1538-3881/ada28d |
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| _version_ | 1825206347739693056 |
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| author | Xiaocheng Yang Xiang You Lin Wu Jingye Yan Feng Liu Mingfeng Jiang Junbao Zheng |
| author_facet | Xiaocheng Yang Xiang You Lin Wu Jingye Yan Feng Liu Mingfeng Jiang Junbao Zheng |
| author_sort | Xiaocheng Yang |
| collection | DOAJ |
| description | Reconstructing the signal from measured visibilities in radio interferometry is an ill-posed inverse problem. In this paper, we present a novel radio-interferometric imaging method based on the wavelet tight frame aimed at efficiently obtaining an accurate solution. In our approach, the signal is sparsely represented by the directional tensor product complex tight framelets, which can effectively capture the texture and shape features of the images. To enhance computational efficiency, we employ the projected fast iterative soft-thresholding algorithm for solving the l _1 -norm minimization problem. Several simulation experiments are carried out to verify the effectiveness and performance of the proposed method. |
| format | Article |
| id | doaj-art-38d1b488f3704ae1b1924e3fc8b0dd3d |
| institution | Kabale University |
| issn | 1538-3881 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | The Astronomical Journal |
| spelling | doaj-art-38d1b488f3704ae1b1924e3fc8b0dd3d2025-02-07T10:36:13ZengIOP PublishingThe Astronomical Journal1538-38812025-01-01169313010.3847/1538-3881/ada28dA Radio-interferometric Imaging Method Based on the Wavelet Tight FrameXiaocheng Yang0https://orcid.org/0000-0002-9330-5828Xiang You1Lin Wu2Jingye Yan3Feng Liu4Mingfeng Jiang5Junbao Zheng6School of Computer Science and Technology, Zhejiang Sci-Tech University , Hangzhou 310018, People’s Republic of China; Sate Key Laboratory of Space Weather, Chinese Academy of Sciences , Beijing 100190, People’s Republic of China ; [email protected] of Computer Science and Technology, Zhejiang Sci-Tech University , Hangzhou 310018, People’s Republic of ChinaSate Key Laboratory of Space Weather, Chinese Academy of Sciences , Beijing 100190, People’s Republic of China ; [email protected]; National Space Science Center, Chinese Academy of Sciences , Beijing 100190, People’s Republic of ChinaSate Key Laboratory of Space Weather, Chinese Academy of Sciences , Beijing 100190, People’s Republic of China ; [email protected]; National Space Science Center, Chinese Academy of Sciences , Beijing 100190, People’s Republic of ChinaSchool of Electrical Engineering and Computer Science, The University of Queensland , Brisbane, QLD 4072, AustraliaSchool of Computer Science and Technology, Zhejiang Sci-Tech University , Hangzhou 310018, People’s Republic of ChinaSchool of Computer Science and Technology, Zhejiang Sci-Tech University , Hangzhou 310018, People’s Republic of ChinaReconstructing the signal from measured visibilities in radio interferometry is an ill-posed inverse problem. In this paper, we present a novel radio-interferometric imaging method based on the wavelet tight frame aimed at efficiently obtaining an accurate solution. In our approach, the signal is sparsely represented by the directional tensor product complex tight framelets, which can effectively capture the texture and shape features of the images. To enhance computational efficiency, we employ the projected fast iterative soft-thresholding algorithm for solving the l _1 -norm minimization problem. Several simulation experiments are carried out to verify the effectiveness and performance of the proposed method.https://doi.org/10.3847/1538-3881/ada28dRadio interferometersRadio interferometry |
| spellingShingle | Xiaocheng Yang Xiang You Lin Wu Jingye Yan Feng Liu Mingfeng Jiang Junbao Zheng A Radio-interferometric Imaging Method Based on the Wavelet Tight Frame The Astronomical Journal Radio interferometers Radio interferometry |
| title | A Radio-interferometric Imaging Method Based on the Wavelet Tight Frame |
| title_full | A Radio-interferometric Imaging Method Based on the Wavelet Tight Frame |
| title_fullStr | A Radio-interferometric Imaging Method Based on the Wavelet Tight Frame |
| title_full_unstemmed | A Radio-interferometric Imaging Method Based on the Wavelet Tight Frame |
| title_short | A Radio-interferometric Imaging Method Based on the Wavelet Tight Frame |
| title_sort | radio interferometric imaging method based on the wavelet tight frame |
| topic | Radio interferometers Radio interferometry |
| url | https://doi.org/10.3847/1538-3881/ada28d |
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