{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,4]],"date-time":"2026-03-04T18:29:49Z","timestamp":1772648989949,"version":"3.50.1"},"reference-count":42,"publisher":"MDPI AG","issue":"17","license":[{"start":{"date-parts":[[2022,8,25]],"date-time":"2022-08-25T00:00:00Z","timestamp":1661385600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["42030112"],"award-info":[{"award-number":["42030112"]}]},{"name":"National Natural Science Foundation of China","award":["41671356"],"award-info":[{"award-number":["41671356"]}]},{"name":"National Natural Science Foundation of China","award":["2022JJ30705"],"award-info":[{"award-number":["2022JJ30705"]}]},{"name":"National Natural Science Foundation of China","award":["2021zzts0255"],"award-info":[{"award-number":["2021zzts0255"]}]},{"name":"National Natural Science Foundation of China","award":["CX20210273"],"award-info":[{"award-number":["CX20210273"]}]},{"name":"Natural Science Foundation of Hunan province","award":["42030112"],"award-info":[{"award-number":["42030112"]}]},{"name":"Natural Science Foundation of Hunan province","award":["41671356"],"award-info":[{"award-number":["41671356"]}]},{"name":"Natural Science Foundation of Hunan province","award":["2022JJ30705"],"award-info":[{"award-number":["2022JJ30705"]}]},{"name":"Natural Science Foundation of Hunan province","award":["2021zzts0255"],"award-info":[{"award-number":["2021zzts0255"]}]},{"name":"Natural Science Foundation of Hunan province","award":["CX20210273"],"award-info":[{"award-number":["CX20210273"]}]},{"name":"Central Universities of Central South University","award":["42030112"],"award-info":[{"award-number":["42030112"]}]},{"name":"Central Universities of Central South University","award":["41671356"],"award-info":[{"award-number":["41671356"]}]},{"name":"Central Universities of Central South University","award":["2022JJ30705"],"award-info":[{"award-number":["2022JJ30705"]}]},{"name":"Central Universities of Central South University","award":["2021zzts0255"],"award-info":[{"award-number":["2021zzts0255"]}]},{"name":"Central Universities of Central South University","award":["CX20210273"],"award-info":[{"award-number":["CX20210273"]}]},{"name":"Postgraduate Scientific Research Innovation Project of Hunan Province","award":["42030112"],"award-info":[{"award-number":["42030112"]}]},{"name":"Postgraduate Scientific Research Innovation Project of Hunan Province","award":["41671356"],"award-info":[{"award-number":["41671356"]}]},{"name":"Postgraduate Scientific Research Innovation Project of Hunan Province","award":["2022JJ30705"],"award-info":[{"award-number":["2022JJ30705"]}]},{"name":"Postgraduate Scientific Research Innovation Project of Hunan Province","award":["2021zzts0255"],"award-info":[{"award-number":["2021zzts0255"]}]},{"name":"Postgraduate Scientific Research Innovation Project of Hunan Province","award":["CX20210273"],"award-info":[{"award-number":["CX20210273"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>For time-series interferometric phases optimization of distributed scatterers (DSs), the SqueeSAR technology used the phase linking (PL) to extract the equivalent single-master (ESM) interferometric phases from the multilooking time-series coherence matrix. The Cramer\u2013Rao lower bound (CRLB) for the PL describes the highest achievable estimation accuracy of the ESM phases, which depends on the number of looks and the time-series coherence magnitude matrix. With the abundance of time-series polarimetric SAR data, many scholars have studied the coherence magnitude-based polarimetric optimization methods for optimizing the DS\u2019s time-series interferometric phases, for example, the widely-used exhaustive search polarimetric optimization (ESPO) algorithm. However, the traditional polarimetric optimization methods select the boundary extremums of the coherence region (CR) as the optimized complex coherence, which is usually biased from the free-noise one. Currently, in the polarimetric InSAR (PolInSAR) technology, Shen et al. innovatively considered polarimetric information as statistical samples and proposed the total power (TP) coherency matrix construction method for increasing the number of looks and reducing the interferometric phase noise. Therefore, to optimize the time-series interferometric phases for DS, this paper proposes performing a polarization stacking and extending the PolInSAR TP construction to the time-series PolInSAR (TSPolInSAR) data configuration, called the time-series TP (TSTP) method. Simulated and real experiments prove that the new TSTP construction method has better performance and higher efficiency than the single polarimetric and the traditional ESPO algorithms.<\/jats:p>","DOI":"10.3390\/rs14174168","type":"journal-article","created":{"date-parts":[[2022,8,26]],"date-time":"2022-08-26T02:04:32Z","timestamp":1661479472000},"page":"4168","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["A Polarization Stacking Method for Optimizing Time-Series Interferometric Phases of Distributed Scatterers"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6691-1398","authenticated-orcid":false,"given":"Peng","family":"Shen","sequence":"first","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4461-068X","authenticated-orcid":false,"given":"Changcheng","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5412-2703","authenticated-orcid":false,"given":"Jun","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"950","DOI":"10.1109\/36.175330","article-title":"Decorrelation in interferometric radar echoes","volume":"30","author":"Zebker","year":"1992","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Hanssen, R.F. (2001). Radar Interferometry: Data Interpretation and Error Analysis, Springer Science & Business Media.","DOI":"10.1007\/0-306-47633-9"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"2202","DOI":"10.1109\/36.868878","article-title":"Nonlinear subsidence rate estimation using permanent scatterers in differential SAR interferometry","volume":"38","author":"Ferretti","year":"2000","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1109\/36.898661","article-title":"Permanent scatterers in SAR interferometry","volume":"39","author":"Ferretti","year":"2001","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_5","unstructured":"Werner, C., Wegmuller, U., Strozzi, T., and Wiesmann, A. (2003, January 21\u201325). Interferometric point target analysis for deformation mapping. Proceedings of the IGARSS 2003. 2003 IEEE International Geoscience and Remote Sensing Symposium. Proceedings, Toulouse, France."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Costantini, M., Falco, S., Malvarosa, F., and Minati, F. (2008, January 7\u201311). A new method for identification and analysis of persistent scatterers in series of SAR images. Proceedings of the IGARSS 2008\u20142008 IEEE International Geoscience and Remote Sensing Symposium, Boston, MA, USA.","DOI":"10.1109\/IGARSS.2008.4779025"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"L23611","DOI":"10.1029\/2004GL021737","article-title":"A new method for measuring deformation on volcanoes and other natural terrains using InSAR persistent scatterers","volume":"31","author":"Hooper","year":"2004","journal-title":"Geophys. Res. Lett."},{"key":"ref_8","first-page":"B07407","article-title":"Persistent scatterer interferometric synthetic aperture radar for crustal deformation analysis, with application to Volcan Alcedo, Galapagos","volume":"112","author":"Hooper","year":"2007","journal-title":"J. Geophys. Res. Earth"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2375","DOI":"10.1109\/TGRS.2002.803792","article-title":"A new algorithm for surface deformation monitoring based on small baseline differential SAR interferograms","volume":"40","author":"Berardino","year":"2002","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1377","DOI":"10.1109\/TGRS.2004.828196","article-title":"A small-baseline approach for investigating deformations on full-resolution differential SAR interferograms","volume":"42","author":"Lanari","year":"2004","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_11","first-page":"102705","article-title":"New insights into the 2020 Sardoba dam failure in Uzbekistan from Earth observation","volume":"107","author":"Xiao","year":"2022","journal-title":"Int. J. Appl. Earth Obs. Geoinf."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1167","DOI":"10.1007\/s00024-008-0352-6","article-title":"The Coherent Pixels Technique (CPT): An advanced DInSAR technique for nonlinear deformation monitoring","volume":"165","author":"Mallorqui","year":"2008","journal-title":"Pure Appl. Geophys."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3460","DOI":"10.1109\/TGRS.2011.2124465","article-title":"A New Algorithm for Processing Interferometric Data-Stacks: SqueeSAR","volume":"49","author":"Ferretti","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1109\/TGRS.2010.2052625","article-title":"Modeling PSInSAR time series without phase unwrapping","volume":"49","author":"Zhang","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/j.rse.2011.10.020","article-title":"Mapping ground surface deformation using temporarily coherent point SAR interferometry: Application to Los Angeles Basin","volume":"117","author":"Zhang","year":"2012","journal-title":"Remote Sens. Environ."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"3436","DOI":"10.1109\/TGRS.2008.2001756","article-title":"On the exploitation of target statistics for SAR interferometry applications","volume":"46","author":"Guarnieri","year":"2008","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1213","DOI":"10.1109\/TGRS.2014.2336237","article-title":"Fast statistically homogeneous pixel selection for covariance matrix estimation for multitemporal InSAR","volume":"53","author":"Jiang","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"5320","DOI":"10.1109\/TGRS.2018.2813758","article-title":"A unified approach of multitemporal sar data filtering through adaptive estimation of complex covariance matrix","volume":"56","author":"Dong","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2050","DOI":"10.1109\/TGRS.2014.2352853","article-title":"CAESAR: An approach based on covariance matrix decomposition to improve multibaseline-multitemporal interferometric SAR processing","volume":"53","author":"Fornaro","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"4109","DOI":"10.1109\/TGRS.2018.2826045","article-title":"Efficient Phase Estimation for Interferogram Stacks","volume":"56","author":"Ansari","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"3977","DOI":"10.1109\/TGRS.2019.2960007","article-title":"Distributed Scatterer Interferometry with the Refinement of Spatiotemporal Coherence","volume":"58","author":"Jiang","year":"2020","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"5637","DOI":"10.1109\/TGRS.2017.2711037","article-title":"Sequential Estimator: Toward Efficient InSAR Time Series Analysis","volume":"55","author":"Ansari","year":"2017","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1109\/LGRS.2007.908885","article-title":"Multibaseline polarimetric SAR interferometry coherence optimization","volume":"5","author":"Neumann","year":"2008","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1109\/LGRS.2009.2033013","article-title":"A contribution of polarimetry to satellite differential SAR interferometry: Increasing the number of pixel candidates","volume":"7","year":"2010","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1109\/LGRS.2011.2176715","article-title":"Improvement of persistent-scatterer interferometry performance by means of a polarimetric optimization","volume":"9","year":"2012","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2875","DOI":"10.1109\/TGRS.2013.2267095","article-title":"Phase Quality Optimization in Polarimetric Differential SAR Interferometry","volume":"52","author":"Iglesias","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"7819","DOI":"10.1109\/TGRS.2019.2916649","article-title":"Coherency matrix decomposition-based polarimetric persistent scatterer interferometry","volume":"57","author":"Zhao","year":"2019","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2016","DOI":"10.1109\/LGRS.2015.2443000","article-title":"New Methods in Multibaseline Polarimetric SAR Interferometry Coherence Optimization","volume":"12","author":"Wu","year":"2015","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"6547","DOI":"10.1109\/TGRS.2018.2840423","article-title":"A new polarimetric persistent scatterer interferometry method using temporal coherence optimization","volume":"56","author":"Sadeghi","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"5201014","DOI":"10.1109\/TGRS.2021.3053278","article-title":"Interferometric Phase Optimization Based on PolInSAR Total Power Coherency Matrix Construction and Joint Polarization-Space Nonlocal Estimation","volume":"60","author":"Shen","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"4402815","DOI":"10.1109\/TGRS.2021.3093050","article-title":"A Novel Polarimetric PSI Method Using Trace Moment-Based Statistical Properties and Total Power Interferogram Construction","volume":"60","author":"Shen","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1109\/LSP.2007.904705","article-title":"Hybrid Cram\u00e9r-Rao bounds for crustal displacement field estimators in SAR interferometry","volume":"14","author":"Guarnieri","year":"2007","journal-title":"IEEE Signal Process. Lett."},{"key":"ref_33","unstructured":"Lee, J.S., and Pottier, E. (2009). Polarimetric Radar Imaging: From Basics to Applications, CRC Press."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.1109\/36.312890","article-title":"Intensity and phase statistics of multilook polarimetric and interferometric SAR imagery","volume":"32","author":"Lee","year":"1994","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_35","unstructured":"Oliver, C., and Quegan, S. (2004). Understanding Synthetic Aperture Radar Images, SciTech Publishing. [2nd ed.]."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"3795","DOI":"10.1109\/TGRS.2009.2019269","article-title":"Estimation of the equivalent number of looks in polarimetric synthetic aperture radar imagery","volume":"47","author":"Anfinsen","year":"2009","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Shen, P., Wang, C., Fu, H., Zhu, J., and Hu, J. (2020). Estimation of Equivalent Number of Looks in Time-Series Pol(In)SAR Data. Remote Sens., 12.","DOI":"10.3390\/rs12172715"},{"key":"ref_38","first-page":"5217015","article-title":"TSPol-ASLIC: Adaptive Superpixel Generation with Local Iterative Clustering for Time-Series Quad- and Dual-Polarization SAR Data","volume":"60","author":"Gao","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1049\/ip-rsn:20000493","article-title":"Calculation of moments of complex Wishart and complex inverse Wishart distributed matrices","volume":"147","author":"Maiwald","year":"2000","journal-title":"IEE Proc. Radar Sonar Navig."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"2326","DOI":"10.1109\/TGRS.2016.2641742","article-title":"Trace Coherence: A New Operator for Polarimetric and Interferometric SAR images","volume":"55","author":"Marino","year":"2017","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"7172","DOI":"10.3390\/s8117172","article-title":"Interferometric Phase Improvement Based on Polarimetric Data Fusion","volume":"8","author":"Tao","year":"2008","journal-title":"Sensors"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"2299","DOI":"10.1080\/01431169408954244","article-title":"Classification of Multi-Look Polarimetric SAR Imagery Based on Complex Wishart Distribution","volume":"15","author":"Kwok","year":"1994","journal-title":"Int. J. Remote Sens."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/17\/4168\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:14:56Z","timestamp":1760141696000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/17\/4168"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,25]]},"references-count":42,"journal-issue":{"issue":"17","published-online":{"date-parts":[[2022,9]]}},"alternative-id":["rs14174168"],"URL":"https:\/\/doi.org\/10.3390\/rs14174168","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8,25]]}}}