{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,25]],"date-time":"2025-11-25T06:54:35Z","timestamp":1764053675780,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"18","license":[{"start":{"date-parts":[[2020,9,20]],"date-time":"2020-09-20T00:00:00Z","timestamp":1600560000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61771478"],"award-info":[{"award-number":["61771478"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Spaceborne synthetic aperture radar (SAR) has been treated as a weather independent system for a long time. However, with the development of advanced SAR configurations, e.g., high resolution, bistatic, geosynchronous (GEO), the influence of tropospheric propagation error, which strongly depends on the weather, has begun to receive attention. In this paper, we focus on the effect of deterministic background tropospheric delay (BTD) during the image formation of GEO SAR. First, the decorrelation problems caused by the spatial variation and BTD are presented. Second, by combining with the SAR imaging geometry, the BTD error is decomposed as constant error, spatially variant error, and time variant error, the influences of which are analyzed under different circumstances. Third, an imaging method starting from the meteorological parameters and the GEO SAR systematic parameters is proposed to deal with the decorrelation problems. Finally, simulations with the dot-matrix targets are performed to validate the imaging method.<\/jats:p>","DOI":"10.3390\/rs12183081","type":"journal-article","created":{"date-parts":[[2020,9,20]],"date-time":"2020-09-20T21:20:28Z","timestamp":1600636828000},"page":"3081","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Background Tropospheric Delay in Geosynchronous Synthetic Aperture Radar"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9484-0793","authenticated-orcid":false,"given":"Dexin","family":"Li","sequence":"first","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology (NUDT), Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaoxiang","family":"Zhu","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology (NUDT), Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhen","family":"Dong","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology (NUDT), Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anxi","family":"Yu","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology (NUDT), Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongsheng","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology (NUDT), Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,9,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4397","DOI":"10.1109\/TGRS.2013.2242202","article-title":"Geosynchronous SAR Focusing with Atmospheric Phase Screen Retrieval and Compensation","volume":"51","author":"Rodon","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_2","unstructured":"Tomiyasu, K. (1978, January 15\u201319). Synthetic aperture radar in geosynchronous orbit. Proceedings of the Synthetic Aperture Radar Technology Conference, Washington, DC, USA."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1049\/iet-rsn.2012.0230","article-title":"Tropospheric effects on L-band geosynchronous circular SAR imaging","volume":"7","author":"Kou","year":"2013","journal-title":"IET Radar Sonar Navig."},{"key":"ref_4","first-page":"7534","article-title":"G-CLASS: Geosynchronous radar for water cycle science\u2014 Orbit selection and system design","volume":"21","author":"Hobbs","year":"2019","journal-title":"J. Eng."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Hanssen, R. (2001). Radar Interferometry: Data Interpretation and Error Analysis, Kluwer.","DOI":"10.1007\/0-306-47633-9"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Li, D., Dong, Z., Yu, A., Zhang, Y., Zhang, Q., He, F., and Wu, M. (2020). Estimation and Compensation of turbulent tropospheric delay in High-resolution SAR Image. IEEE Trans. Geosci. Remote Sens.","DOI":"10.1109\/TGRS.2020.3011933"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"5516","DOI":"10.1109\/TGRS.2020.2966710","article-title":"Spaceborne P-band SAR imaging degradation by anisotropic ionospheric irregularities: A comprehensive numerical study","volume":"58","author":"Ji","year":"2020","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"3941","DOI":"10.1109\/TGRS.2019.2959702","article-title":"Impacts of ionospheric irregularities on L-band geosynchronous synthetic aperture radar","volume":"58","author":"Ji","year":"2020","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1029\/1998RS900021","article-title":"Ionospheric effects on synthetic aperture radar at 100 MHz to 2 GHz","volume":"34","author":"Ishimaru","year":"1999","journal-title":"Radio Sci."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1109\/TGRS.2009.2035497","article-title":"TerraSAR-X SAR Processing and Products","volume":"48","author":"Breit","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"6003","DOI":"10.1109\/TGRS.2013.2294353","article-title":"On the Processing of Very High Resolution Spaceborne SAR Data","volume":"52","author":"Scheiber","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"4825","DOI":"10.1109\/TGRS.2015.2411261","article-title":"An imaging compensation algorithm for correcting the impact of tropospheric delay on spaceborne high-resolution SAR","volume":"53","author":"Yu","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1668","DOI":"10.1109\/TGRS.2017.2766084","article-title":"Atmospheric Phase Screen in GEO-SAR:Estimation and Compensation","volume":"56","author":"Guarnieri","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_14","first-page":"247","article-title":"Atmospheric correction for the troposphere and stratospherein radio ranging of satellites","volume":"15","author":"Saastamoinen","year":"1972","journal-title":"Geophys. Monogr. Ser."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1593","DOI":"10.1029\/RS020i006p01593","article-title":"Geodesy by radio interferometry: Effects of atmospheric modeling errors on estimates of baseline length","volume":"20","author":"Davis","year":"1985","journal-title":"Radio Sci."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1029\/RS022i003p00379","article-title":"Estimation of tropospheric delay for microwaves from surface weather data","volume":"22","author":"Askne","year":"1987","journal-title":"Radio Sci."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"B\u00f6hm, J., Werl, B., and Schuh, H. (2006). Troposphere mapping functions for GPS and very long baseline interferometry from European Centre for Medium-Range Weather Forecasts operational analysis data. J. Geophys. Res., 111.","DOI":"10.1029\/2005JB003629"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Rasmussen, C.E., and Williams, C.K. (2006). Gaussian Processes for Machine Learning, The MIT Press.","DOI":"10.7551\/mitpress\/3206.001.0001"},{"key":"ref_19","unstructured":"George, W.K. (2013). Lectures in Turbulence for the 21st Century, Imperial College of London."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/s11432-016-9065-1","article-title":"Modeling of Tropospheric Delays in Geosynchronous Synthetic Aperture Radar","volume":"60","author":"Li","year":"2017","journal-title":"China Sci. Inform. Sci."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1109\/JSTARS.2012.2188096","article-title":"An Improved CS Algorithm Based on the Curved Trajectory in Geosynchronous SAR","volume":"5","author":"Hu","year":"2012","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"4868","DOI":"10.1109\/TGRS.2013.2285721","article-title":"A 2-D Space-Variant Chirp Scaling Algorithm Based on the RCM Equalization and Subband Synthesis to Process Geosynchronous SAR Data","volume":"52","author":"Sun","year":"2014","journal-title":"IEEE Tran. Geosci. Remote Sens."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3999","DOI":"10.1109\/JSTARS.2015.2418814","article-title":"Modeling and Processing of Two-Dimensional Spatial-Variant Geosynchronous SAR Data","volume":"8","author":"Li","year":"2015","journal-title":"IEEE J. Sel. Topics Appl. Earth Observ. Remote Sens."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2493","DOI":"10.1109\/TGRS.2008.917599","article-title":"Focusing Bistatic SAR Data Using the Nonlinear Chirp Scaling Algorithm","volume":"46","author":"Wong","year":"2008","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.1109\/JRPROC.1953.274297","article-title":"The Constants in the Equation for Atmospheric Refractive Index at Radio Frequencies","volume":"41","author":"Smith","year":"1953","journal-title":"Proc. IRE"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1007\/s00190-007-0135-3","article-title":"Short Note: A global model of pressure and temperature for geodetic applications","volume":"81","author":"Boehm","year":"2007","journal-title":"J. Geod."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1069","DOI":"10.1002\/grl.50288","article-title":"GPT2: Empirical slant delay model for radio space geodetic techniques","volume":"40","author":"Lagler","year":"2013","journal-title":"Geophys. Res. Lett."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1007\/s10291-014-0403-7","article-title":"Development of an improved empirical model for slant delays in the troposphere (GPT2w)","volume":"19","author":"Schindelegger","year":"2015","journal-title":"GPS Solut."},{"key":"ref_29","unstructured":"Cumming, I.G., and Wong, F.H. (2005). Digital Processing of Synthetic Aperture Radar, Artech House."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/12\/18\/3081\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:11:49Z","timestamp":1760177509000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/12\/18\/3081"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,20]]},"references-count":29,"journal-issue":{"issue":"18","published-online":{"date-parts":[[2020,9]]}},"alternative-id":["rs12183081"],"URL":"https:\/\/doi.org\/10.3390\/rs12183081","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2020,9,20]]}}}