Coherence Matrix Estimation With Total Positivity Regularization for Interferometric Phase Linking
Interferometric phase linking has become a critical step in distributed scatterer interferometry, yet its performance is significantly affected by inaccuracies in the coherence matrix and its inverse, such as the precision matrix. Recent studies have attempted to address this issue using regularizat...
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IEEE
2025-01-01
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| Series: | IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing |
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| Online Access: | https://ieeexplore.ieee.org/document/10916918/ |
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| author | Changjun Zhao Yan Yan Hanwen Yu |
| author_facet | Changjun Zhao Yan Yan Hanwen Yu |
| author_sort | Changjun Zhao |
| collection | DOAJ |
| description | Interferometric phase linking has become a critical step in distributed scatterer interferometry, yet its performance is significantly affected by inaccuracies in the coherence matrix and its inverse, such as the precision matrix. Recent studies have attempted to address this issue using regularization techniques, modifying diagonal elements or shrinking the coherence matrix towards the identity matrix. However, these methods do not sufficiently resolve the problem. In this article, we propose a novel regularized coherence matrix estimation approach to enhance interferometric phase linking. Specifically, we introduce a coherence matrix estimator based on maximum likelihood estimation, constrained by the multivariate totally positive of order 2 (<inline-formula><tex-math notation="LaTeX">$\text{MTP}_{2}$</tex-math></inline-formula>), also called total positivity. A coordinate-descent algorithm is then applied to efficiently estimate both the coherence and precision matrices. Simulation experiments validate the effectiveness of the proposed approach, particularly in precision matrix estimation. Furthermore, real data experiments conducted at Chengdu Tianfu International Airport and Chongqing Jiangbei International Airport demonstrate that our approach outperforms three state-of-the-art coherence matrix regularization techniques. |
| format | Article |
| id | doaj-art-b1bfeafffc9e40daa36f8042a975eef8 |
| institution | DOAJ |
| issn | 1939-1404 2151-1535 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing |
| spelling | doaj-art-b1bfeafffc9e40daa36f8042a975eef82025-08-20T03:04:38ZengIEEEIEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing1939-14042151-15352025-01-01188547855810.1109/JSTARS.2025.354901910916918Coherence Matrix Estimation With Total Positivity Regularization for Interferometric Phase LinkingChangjun Zhao0https://orcid.org/0000-0002-8981-9009Yan Yan1https://orcid.org/0000-0001-6294-3467Hanwen Yu2https://orcid.org/0000-0001-5057-2072School of Resources and Environment, University of Electronic Science and Technology of China, Chengdu, ChinaSchool of Resources and Environment, University of Electronic Science and Technology of China, Chengdu, ChinaSchool of Resources and Environment, University of Electronic Science and Technology of China, Chengdu, ChinaInterferometric phase linking has become a critical step in distributed scatterer interferometry, yet its performance is significantly affected by inaccuracies in the coherence matrix and its inverse, such as the precision matrix. Recent studies have attempted to address this issue using regularization techniques, modifying diagonal elements or shrinking the coherence matrix towards the identity matrix. However, these methods do not sufficiently resolve the problem. In this article, we propose a novel regularized coherence matrix estimation approach to enhance interferometric phase linking. Specifically, we introduce a coherence matrix estimator based on maximum likelihood estimation, constrained by the multivariate totally positive of order 2 (<inline-formula><tex-math notation="LaTeX">$\text{MTP}_{2}$</tex-math></inline-formula>), also called total positivity. A coordinate-descent algorithm is then applied to efficiently estimate both the coherence and precision matrices. Simulation experiments validate the effectiveness of the proposed approach, particularly in precision matrix estimation. Furthermore, real data experiments conducted at Chengdu Tianfu International Airport and Chongqing Jiangbei International Airport demonstrate that our approach outperforms three state-of-the-art coherence matrix regularization techniques.https://ieeexplore.ieee.org/document/10916918/Coherence matrixdecorrelationdistributed scatterer (DS)interferometric synthetic aperture radar (InSAR) |
| spellingShingle | Changjun Zhao Yan Yan Hanwen Yu Coherence Matrix Estimation With Total Positivity Regularization for Interferometric Phase Linking IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing Coherence matrix decorrelation distributed scatterer (DS) interferometric synthetic aperture radar (InSAR) |
| title | Coherence Matrix Estimation With Total Positivity Regularization for Interferometric Phase Linking |
| title_full | Coherence Matrix Estimation With Total Positivity Regularization for Interferometric Phase Linking |
| title_fullStr | Coherence Matrix Estimation With Total Positivity Regularization for Interferometric Phase Linking |
| title_full_unstemmed | Coherence Matrix Estimation With Total Positivity Regularization for Interferometric Phase Linking |
| title_short | Coherence Matrix Estimation With Total Positivity Regularization for Interferometric Phase Linking |
| title_sort | coherence matrix estimation with total positivity regularization for interferometric phase linking |
| topic | Coherence matrix decorrelation distributed scatterer (DS) interferometric synthetic aperture radar (InSAR) |
| url | https://ieeexplore.ieee.org/document/10916918/ |
| work_keys_str_mv | AT changjunzhao coherencematrixestimationwithtotalpositivityregularizationforinterferometricphaselinking AT yanyan coherencematrixestimationwithtotalpositivityregularizationforinterferometricphaselinking AT hanwenyu coherencematrixestimationwithtotalpositivityregularizationforinterferometricphaselinking |