This paper introduces a novel approach for sequential estimation of the interferometric phase in the context of long Synthetic Aperture Radar (SAR) image time series.
When newly acquired data arrive, the data set expands and can be partitioned into two distinct blocks. One represents the previous SAR images
and the other represents the newly acquired data. The proposed approach (S-MLE-PL) exploits sequential maximum likelihood estimation of the
covariance matrix of the whole data set, taking the existing data set as prior information. This approach facilitates the continuous
interferometric phase estimation by incorporating the new data into the previous context. In addition, it presents the advantage of reduced
computation time compared to the traditional approaches, making it a more efficient solution for operational displacement estimation.
@article{10360230,title={Sequential Phase Linking : Progressive Integration of SAR Images for Operational Phase Estimation},author={El Hajjar Dana; Yan Yajing; Ginolhac Guillaume; El Korso Mohammed Nabil},journal={{International Geoscience and Remote Sensing Symposium (IGARSS 2024)}},year={2024},doi={10.1109/IGARSS53475.2024.10641742},keywords={Multi-temporal InSAR, sequential estimation, covariance matrix, phase linking},url={},volume={},number={},pages={11470-11473},month={July},issn={2153-6996}}
Journal papers
2025
arXiv
Sequential Covariance Fitting for InSAR Phase Linking
El Hajjar, Dana, Ginolhac, Guillaume, Yan, Yajing and 1 more author
Traditional Phase-Linking (PL) algorithms are known for their high cost, especially with the huge volume of Synthetic Aperture Radar (SAR) images generated by Sentinel-1 SAR missions.
Recently, a COvariance Fitting Interferometric Phase Linking (COFI-PL) approach has been proposed, which can be seen as a generic framework for existing PL methods. Although this
method is less computationally expensive than traditional PL approaches, COFI-PL exploits the entire covariance matrix, which poses a challenge with the increasing time series of
SAR images. However, COFI-PL, like traditional PL approaches, cannot accommodate the efficient inclusion of newly acquired SAR images. This paper overcomes this drawback by
introducing a sequential integration of a block of newly acquired SAR images. Specifically, we propose a method for effectively addressing optimization problems associated with
phase-only complex vectors on the torus based on the Majorization-Minimization framework.
@article{el2025fitting,title={Sequential Covariance Fitting for InSAR Phase Linking},author={El Hajjar Dana; Ginolhac Guillaume; Yan Yajing; El Korso Mohammed Nabil},journal={{arXiv}},year={2025},doi={10.48550/arXiv.2502.09248},keywords={Interferometric Phase Linking, sequential, newly acquired SAR images, covariance fitting problem},url={},volume={},number={},pages={},month={February},issn={}}
SPL
Robust Sequential Phase Estimation using Multi-temporal SAR Image Series
El Hajjar, Dana, Ginolhac, Guillaume, Yan, Yajing and 1 more author
Multi-Temporal Interferometric Synthetic Aperture Radar (MT-InSAR) exploits Synthetic Aperture Radar images time series (SAR-TS)
for surface deformation monitoring via phase difference (with respect to a reference image) estimation. Most of the actual
state-of-the-art MT-InSAR rely on temporal covariance matrix of the SAR-TS, assuming Gaussian distribution. However, these
approaches become computationally expensive when the time series lengthens and new images are added to the data vector.
This paper proposes a novel approach to sequentially integrate each newly acquired image using Phase Linking (PL) and
Maximum Likelihood Estimation (MLE). The methodology divides the data into blocks, using previous images and estimations
as a prior to sequentially estimate the phase of the new image. Actually, this framework allows to consider non Gaussian
distributions, such as a mixture of scaled Gaussian distribution, which is particularly important to consider when dealing
with urban areas.
@article{el2025robust,title={Robust Sequential Phase Estimation using Multi-temporal SAR Image Series},author={El Hajjar Dana; Ginolhac Guillaume; Yan Yajing; El Korso Mohammed Nabil},journal={{IEEE Signal Processing Letters}},year={2025},doi={10.1109/LSP.2025.3537334},keywords={Multi-Temporal Interferometric Synthetic Aperture Radar, Maximum Likelihood Estimation, covariance matrix estimation, mixture of Scaled Gaussian distribution},url={},volume={},number={},pages={},month={January},issn={}}