{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:00:36Z","timestamp":1760148036311,"version":"build-2065373602"},"reference-count":19,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,3,25]],"date-time":"2023-03-25T00:00:00Z","timestamp":1679702400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Science Fund for Distinguished Young Scholars","doi-asserted-by":"publisher","award":["41925016","2020zzts191"],"award-info":[{"award-number":["41925016","2020zzts191"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002822","name":"Fundamental Research Funds for the Central Universities of Central South University","doi-asserted-by":"publisher","award":["41925016","2020zzts191"],"award-info":[{"award-number":["41925016","2020zzts191"]}],"id":[{"id":"10.13039\/501100002822","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Atmospheric delay is the primary error in ground-based synthetic aperture radar (GBSAR). The existing compensation methods include the external meteorological data correction method, the polynomial fitting method, and the persistent scatterers SAR interferometry (PSInSAR) calibration method. Combining the polynomial fitting and the persistent scatterers targets is the most popular method of GBSAR atmospheric delay compensation. However, the displacement component of the coherent target is always ignored in the atmospheric delay compensation, which is unpractical. A joint estimation method of ground displacement and atmospheric model parameters is developed in this paper. The displacement component is determined by the spatial and temporal features of the objects. The atmospheric delay component is regarded as a systematic error represented by a quadratic polynomial related to distance. The result is resolved by the least-square method. Compared to the existing method, the root-mean-square error (RMSE) of the proposed method had a significant improvement in the validation experiment. In the real in situ experiment, the time series obtained by the GBSAR had a similar trend to that acquired by the Global Positioning System (GPS) receiver. It is indicated that the proposed method can lead to a better deformation estimation by taking the deformation component into account in the atmospheric compensation.<\/jats:p>","DOI":"10.3390\/rs15071765","type":"journal-article","created":{"date-parts":[[2023,3,27]],"date-time":"2023-03-27T02:18:27Z","timestamp":1679883507000},"page":"1765","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Joint Estimation of Ground Displacement and Atmospheric Model Parameters in Ground-Based Radar"],"prefix":"10.3390","volume":"15","author":[{"given":"Yan","family":"Zhu","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\/0000-0002-2047-2326","authenticated-orcid":false,"given":"Bing","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4575-5258","authenticated-orcid":false,"given":"Zhiwei","family":"Li","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Li","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jingxin","family":"Hou","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenxiang","family":"Mao","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":[[2023,3,25]]},"reference":[{"key":"ref_1","unstructured":"Tarchi, D., Rudolf, H., Luzi, G., Chiarantini, L., Coppo, P., and Sieber, A.J. (July, January 28). SAR Interferometry for Structural Changes Detect ion a Demonstration Test on a Dam. Proceedings of the IGARSS, Hamburg, Germany."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1016\/j.isprsjprs.2018.02.020","article-title":"Dynamic displacement monitoring of long-span bridges with a microwave radar interferometer","volume":"138","author":"Zhang","year":"2018","journal-title":"ISPRS J. Photogramm. Remote Sens."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/S0013-7952(02)00196-5","article-title":"Landslide monitoring by using ground-based SAR interferometry: An example of application to the Tessina landslide in Italy","volume":"68","author":"Tarchi","year":"2003","journal-title":"Eng. Geol."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2331","DOI":"10.1080\/01431160600554975","article-title":"Advances in ground-based microwave interferometry for landslide survey: A case study","volume":"27","author":"Luzi","year":"2006","journal-title":"Int. J. Remote Sens."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"258","DOI":"10.1016\/j.earscirev.2019.03.008","article-title":"Time-series InSAR ground deformation monitoring: Atmospheric delay modeling and estimating","volume":"192","author":"Li","year":"2019","journal-title":"Earth-Sci. Rev."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.isprsjprs.2014.04.001","article-title":"A review of ground-based SAR interferometry for deformation measurement","volume":"93","author":"Monserrat","year":"2014","journal-title":"ISPRS J. Photogramm. Remote Sens."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Owerko, T., Kuras, P., and Ortyl, \u0141. (2020). Atmospheric Correction Thresholds for Ground-Based Radar Interferometry Deformation Monitoring Estimated Using Time Series Analyses. Remote Sens., 12.","DOI":"10.3390\/rs12142236"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1459","DOI":"10.1109\/TGRS.2005.848707","article-title":"Permanent scatterers analysis for atmospheric correction in ground-based SAR interferometry","volume":"43","author":"Noferini","year":"2005","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2436","DOI":"10.1109\/TGRS.2013.2261077","article-title":"Atmospheric Phase Screen Compensation in Ground-Based SAR With a Multiple-Regression Model Over Mountainous Regions","volume":"52","author":"Iglesias","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1109\/LGRS.2007.908364","article-title":"Atmospheric Artifact Compensation in Ground-Based DInSAR Applications","volume":"5","author":"Pipia","year":"2008","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1594","DOI":"10.1186\/s40064-016-3262-6","article-title":"Atmospheric phase screen correction in ground-based SAR with PS technique","volume":"5","author":"Qiu","year":"2016","journal-title":"SpringerPlus"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"046013","DOI":"10.1117\/1.JRS.10.046013","article-title":"Atmospheric phase correction using permanent scatterers in ground-based radar interferometry","volume":"10","author":"Jianping","year":"2016","journal-title":"J. Appl. Remote Sens."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Hanssen, R.F. (2001). Radar Interferometry: Data Interpretation and Error Analysis, Springer.","DOI":"10.1007\/0-306-47633-9"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1029\/RS009i010p00803","article-title":"An improved equation for the radio refractive index of air","volume":"9","author":"Thayer","year":"1974","journal-title":"Radio Sci."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1183","DOI":"10.1029\/RS016i006p01183","article-title":"Modeling attenuation and phase of radio waves in air at frequencies below 1000 GHz","volume":"16","author":"Liebe","year":"1981","journal-title":"Radio Sci."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1175\/1520-0450(1967)006<0203:OTCOSV>2.0.CO;2","article-title":"On the computation of saturated vapour pressure","volume":"6","author":"Murray","year":"1967","journal-title":"J. Appl. Meteorol."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Blaunstein, N., and Christodoulou, C.G. (2014). Radio Propagation and Adaptive Antennas for Wireless Communication Networks, Wiley.","DOI":"10.1002\/9781118816707"},{"key":"ref_18","unstructured":"Radiocommunication Study Group 3 (2017). Effects of Tropospheric Refraction on Radiowave Propagation, International Telecommunication Union. [9th ed.]."},{"key":"ref_19","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."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/7\/1765\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T19:02:57Z","timestamp":1760122977000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/7\/1765"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,3,25]]},"references-count":19,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2023,4]]}},"alternative-id":["rs15071765"],"URL":"https:\/\/doi.org\/10.3390\/rs15071765","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2023,3,25]]}}}