{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T14:58:59Z","timestamp":1776178739522,"version":"3.50.1"},"reference-count":36,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2018,3,23]],"date-time":"2018-03-23T00:00:00Z","timestamp":1521763200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Synthetic Aperture Radar Interferometry (SAR, InSAR) is increasingly being used for deformation monitoring. Uncertainty in satellite state vectors is considered to be one of the main sources of errors in applications such as this. In this paper, we present frequency and spatial domain based algorithms to model orbital errors in InSAR interferograms. The main advantage of this method, when applied to the spatial domain, is that the order of the polynomial coefficient is automatically determined according to the features of the orbital errors, using K-cross validation. In the frequency domain, a maximum likelihood fringe rate estimate is deployed to resolve linear orbital patterns in strong noise interferograms, where spatial-domain-based algorithms are unworkable. Both methods were tested and compared with synthetic data and applied to historical Environmental Satellite Advanced Synthetic Aperture Radar (ENVISAT ASAR) sensor and modern instruments such as Gaofen-3 (GF-3) and Sentinel-1. The validation from the simulation demonstrated that an accuracy of ~1mm can be obtained under optimal conditions. Using an independent GPS measurement that is discontinuous from the InSAR measurement over the Tohoku-Oki area, we found a 31.45% and 73.22% reduction in uncertainty after applying our method for ASAR tracks 347 and 74, respectively.<\/jats:p>","DOI":"10.3390\/rs10040508","type":"journal-article","created":{"date-parts":[[2018,3,27]],"date-time":"2018-03-27T23:36:35Z","timestamp":1522193795000},"page":"508","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Modeling Orbital Error in InSAR Interferogram Using Frequency and Spatial Domain Based Methods"],"prefix":"10.3390","volume":"10","author":[{"given":"Xin","family":"Tian","sequence":"first","affiliation":[{"name":"Department of Surveying and Mapping Engineering, School of Transportation, Southeast University, Nanjing 211189, China"}]},{"given":"Rakesh","family":"Malhotra","sequence":"additional","affiliation":[{"name":"Department of Environmental, Earth and Geospatial Sciences, North Carolina Central University, Durham, NC 27707, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2047-2326","authenticated-orcid":false,"given":"Bing","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"}]},{"given":"Haoping","family":"Qi","sequence":"additional","affiliation":[{"name":"Department of Surveying and Mapping Engineering, School of Transportation, Southeast University, Nanjing 211189, China"}]},{"given":"Yuxiao","family":"Ma","sequence":"additional","affiliation":[{"name":"Department of Surveying and Mapping Engineering, School of Transportation, Southeast University, Nanjing 211189, China"}]}],"member":"1968","published-online":{"date-parts":[[2018,3,23]]},"reference":[{"key":"ref_1","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. 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