{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:14:08Z","timestamp":1760145248529,"version":"build-2065373602"},"reference-count":44,"publisher":"MDPI AG","issue":"14","license":[{"start":{"date-parts":[[2024,7,12]],"date-time":"2024-07-12T00:00:00Z","timestamp":1720742400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Postdoctoral Fellowship Program of CPSF","award":["GZC20233416","61931002","62101035"],"award-info":[{"award-number":["GZC20233416","61931002","62101035"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["GZC20233416","61931002","62101035"],"award-info":[{"award-number":["GZC20233416","61931002","62101035"]}],"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>The ionospheric effects in repeat-pass SAR interferometry (InSAR) have become a rising concern with the increasing interest in low-frequency SAR. The ionosphere will introduce serious phase errors in the interferogram, which should be properly corrected. In this paper, the influence of the wavenumber shift on the Range Split-Spectrum (RSS) method is analyzed quantitatively. It is shown that the split-spectrum processing deteriorates the coherence of the sub-band interferogram and then greatly reduces the estimation accuracy. The RSS method combined with common band filtering (CBF) can improve the coherence of sub-band interferograms and estimation accuracy, but the estimation is biased due to the RSS model mismatch. To address the problem, a modified truncated singular value decomposition (MTSVD) based multi-sub-band RSS method is proposed in this paper. The proposed method divides the range common spectrum into multiple sub-bands to jointly estimate the ionospheric phase. The performance of the proposed method is analyzed and validated based on simulation experiments. The results show that the proposed method has stronger robustness and higher accuracy.<\/jats:p>","DOI":"10.3390\/rs16142555","type":"journal-article","created":{"date-parts":[[2024,7,12]],"date-time":"2024-07-12T08:47:41Z","timestamp":1720774061000},"page":"2555","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Correction of Ionospheric Phase in SAR Interferometry Considering Wavenumber Shift"],"prefix":"10.3390","volume":"16","author":[{"given":"Gen","family":"Li","sequence":"first","affiliation":[{"name":"Radar Technology Research Institute, School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"National Key Laboratory of Space-Born Intelligent Information Processing, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zihan","family":"Hu","sequence":"additional","affiliation":[{"name":"Radar Technology Research Institute, School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yifan","family":"Wang","sequence":"additional","affiliation":[{"name":"Radar Technology Research Institute, School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zehua","family":"Dong","sequence":"additional","affiliation":[{"name":"Radar Technology Research Institute, School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"National Key Laboratory of Space-Born Intelligent Information Processing, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Han","family":"Li","sequence":"additional","affiliation":[{"name":"Radar Technology Research Institute, School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"National Key Laboratory of Space-Born Intelligent Information Processing, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,7,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1109\/5.838084","article-title":"Synthetic Aperture Radar interferometry","volume":"88","author":"Rosen","year":"2000","journal-title":"Proc. IEEE"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"R1","DOI":"10.1088\/0266-5611\/14\/4\/001","article-title":"Synthetic Aperture Radar interferometry","volume":"14","author":"Bamler","year":"1998","journal-title":"Inverse Probl."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Liao, Q., Sheng, Z., Zhou, S., Guo, P., Long, Z., He, M., and Guan, J. (2023). A preliminary study on the inversion method for the refraction structure parameter from vortex electromagnetic waves. Remote Sens., 15.","DOI":"10.3390\/rs15123140"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"3839","DOI":"10.5194\/acp-24-3839-2024","article-title":"Identification of stratospheric disturbance information in China based on the round-trip intelligent sounding system","volume":"24","author":"He","year":"2024","journal-title":"Atmos. Chem. Phys."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"7547","DOI":"10.1029\/96JB03804","article-title":"Atmospheric effects in interferometric synthetic aperture radar surface deformation and topographic maps","volume":"102","author":"Zebker","year":"1997","journal-title":"J. Geophys. Res. Solid Earth"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Meyer, F.J., and Nicoll, J. (2008, January 6\u201311). The impact of the ionosphere on interferometric SAR processing. Proceedings of the IGARSS 2008\u20142008 IEEE International Geoscience and Remote Sensing Symposium, Boston, MA, USA.","DOI":"10.1109\/IGARSS.2008.4779010"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Wegmuller, U., Werner, C., Strozzi, T., and Wiesmann, A. (August, January 31). Ionospheric electron concentration effects on SAR and insar. Proceedings of the 2006 IEEE International Symposium on Geoscience and Remote Sensing, Denver, CO, USA.","DOI":"10.1109\/IGARSS.2006.956"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"3694","DOI":"10.1109\/TGRS.2011.2146786","article-title":"Performance requirements for ionospheric correction of low-frequency SAR Data","volume":"49","author":"Meyer","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TGRS.2022.3168509","article-title":"Range geolocation accuracy of C-\/L-band SAR and its implications for operational stack coregistration","volume":"60","author":"Yunjun","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1017\/S0373463306003821","article-title":"Electron density profiles derived from ground-based GPS observations","volume":"59","author":"Jin","year":"2006","journal-title":"J. Navig."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1447","DOI":"10.1016\/j.asr.2019.11.041","article-title":"Sentinel-1 interferometry with ionospheric correction from global and local TEC maps for land displacement detection in Taiwan","volume":"65","author":"Liao","year":"2020","journal-title":"Adv. Space Res."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"6582","DOI":"10.1109\/TGRS.2017.2730438","article-title":"Bayesian data combination for the estimation of ionospheric effects in sar interferograms","volume":"55","author":"Gomba","year":"2017","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1617","DOI":"10.1109\/TGRS.2004.830161","article-title":"Calibration of linearly polarized polarimetric SAR data subject to Faraday rotation","volume":"42","author":"Freeman","year":"2004","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Rosen, P., Lavalle, M., Pi, X., Buckley, S., Szeliga, W., Zebker, H., and Gurrola, E. (2011, January 24\u201329). Techniques and tools for estimating ionospheric effects in interferometric and polarimetric SAR data. Proceedings of the 2011 IEEE International Geoscience and Remote Sensing Symposium, Vancouver, BC, Canada.","DOI":"10.1109\/IGARSS.2011.6049352"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3191","DOI":"10.1109\/TGRS.2012.2218660","article-title":"Ionospheric correction of Sar Interferograms by multiple-aperture interferometry","volume":"51","author":"Jung","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1109\/TGRS.2012.2236098","article-title":"Reducing ionospheric effects in Insar data using accurate coregistration","volume":"52","author":"Chen","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1446","DOI":"10.1109\/TGRS.2015.2481079","article-title":"Toward operational compensation of ionospheric effects in sar interferograms: The split-spectrum method","volume":"54","author":"Gomba","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"5984","DOI":"10.1109\/TGRS.2017.2718566","article-title":"Insar Time-series estimation of the Ionospheric Phase Delay: An extension of the split range-spectrum technique","volume":"55","author":"Fattahi","year":"2017","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_19","unstructured":"Gomba, G., De Zan, F., and Parizzi, A. (2016, January 6\u20139). Ionospheric phase screen and ionospheric azimuth shift estimation combining the split-spectrum and multi-squint methods. Proceedings of the EUSAR 2016: 11th European Conference on Synthetic Aperture Radar, Hamburg, Germany."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1327","DOI":"10.1109\/LGRS.2018.2844686","article-title":"Correction of ionospheric artifacts in sar data: Application to fault slip inversion of 2009 southern sumatra earthquake","volume":"15","author":"Zhang","year":"2017","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"3050","DOI":"10.1109\/JSTARS.2016.2533441","article-title":"Mitigating ionospheric artifacts in COSEISMIC interferogram based on offset field derived from Alos-Palsar Data","volume":"9","author":"Zhang","year":"2016","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Rosen, P.A., Hensley, S., and Chen, C. (2010, January 10\u201314). Measurement and mitigation of the ionosphere in L-band interferometric SAR Data. Proceedings of the 2010 IEEE Radar Conference, Arlington, VA, USA.","DOI":"10.1109\/RADAR.2010.5494385"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Brcic, R., Parizzi, A., Eineder, M., Bamler, R., and Meyer, F. (2010, January 25\u201330). Estimation and compensation of ionospheric delay for sar interferometry. Proceedings of the 2010 IEEE International Geoscience and Remote Sensing Symposium, Honolulu, HI, USA.","DOI":"10.1109\/IGARSS.2010.5652231"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"855","DOI":"10.1109\/36.298013","article-title":"The wavenumber shift in sar interferometry","volume":"32","author":"Gatelli","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1109\/LGRS.2004.843203","article-title":"Accuracy of differential shift estimation by correlation and split-bandwidth interferometry for wideband and delta-k SAR systems","volume":"2","author":"Bamler","year":"2005","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1142","DOI":"10.1137\/0913066","article-title":"The modified truncated SVD method for regularization in general form","volume":"13","author":"Hansen","year":"1992","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02149761","article-title":"Regularization tools: A MATLAB package for analysis and solution of discrete ill-posed problems","volume":"6","author":"Hansen","year":"1994","journal-title":"Numer. Algorithms"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1002\/nla.1938","article-title":"A modified truncated singular value decomposition method for discrete ill-posed problems","volume":"21","author":"Noschese","year":"2014","journal-title":"Numer. Linear Algebra Appl."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1007\/s00190-014-0778-9","article-title":"Shpts: Towards a new method for generating precise global ionospheric TEC map based on spherical harmonic and generalized trigonometric series functions","volume":"89","author":"Li","year":"2014","journal-title":"J. Geod."},{"key":"ref_30","unstructured":"Fletcher, K. (2007). Insar Principles: Guidelines for SAR Interferometry Processing and Interpretation, ESA."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1109\/36.981345","article-title":"Minimum mean square error space-varying filtering of interferometric SAR data","volume":"40","author":"Fornaro","year":"2002","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1016\/j.procs.2018.10.045","article-title":"Reformulating the split-spectrum method to facilitate the estimation and compensation of the ionospheric phase in sar interferograms","volume":"138","author":"Werner","year":"2018","journal-title":"Procedia Comput. Sci."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1709","DOI":"10.1109\/TGRS.2002.802453","article-title":"Phase unwrapping for large SAR interferograms: Statistical segmentation and Generalized Network Models","volume":"40","author":"Chen","year":"2002","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1007\/s10291-016-0554-9","article-title":"Global ionosphere maps based on GNSS, satellite altimetry, radio occultation and Doris","volume":"21","author":"Chen","year":"2016","journal-title":"GPS Solut."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"2106","DOI":"10.1093\/gji\/ggv253","article-title":"Calibrating interferometric synthetic aperture radar (INSAR) images with regional GPS network atmosphere models","volume":"202","author":"Reuveni","year":"2015","journal-title":"Geophys. J. Int."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Du, S., Yu, A., Zhang, Y., Zhang, Q., Wu, P., and Wang, Q. (2016, January 10\u201315). Research on ionospheric effects and error calibration for L-band spaceborne D-InSAR. Proceedings of the 2016 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), Beijing, China.","DOI":"10.1109\/IGARSS.2016.7730553"},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Yang, J., Huang, W., Xia, G., Zhou, C., and Chen, Y. (2024). Operational forecasting of Global Ionospheric TEC maps 1-, 2-, and 3-day in advance by CONVLSTM model. Remote Sens., 16.","DOI":"10.3390\/rs16101700"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1029\/2018RS006575","article-title":"Measurement of ionospheric total electron content using single-frequency geostationary satellite observations","volume":"54","author":"Cooper","year":"2019","journal-title":"Radio Sci."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"231","DOI":"10.5194\/ars-15-231-2017","article-title":"Large-baseline insar for precise topographic mapping: A framework for tandem-X large-baseline data","volume":"15","author":"Pinheiro","year":"2017","journal-title":"Adv. Radio Sci."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"816","DOI":"10.1109\/JPROC.2009.2038948","article-title":"Interferometric synthetic aperture radar (SAR) missions employing formation flying","volume":"98","author":"Krieger","year":"2010","journal-title":"Proc. IEEE"},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Wegmuller, U., Santoro, M., Werner, C., Strozzi, T., and Wiesmann, A. (2009, January 12\u201317). ERS-Envisat Tandem Cross\u2014Interferometry coherence estimation. Proceedings of the 2009 IEEE International Geoscience and Remote Sensing Symposium, Cape Town, South Africa.","DOI":"10.1109\/IGARSS.2009.5416902"},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Jiang, H., Dong, J., Jiang, L., and Li, D. (August, January 28). Moon-based SAR for Earth observation and its spatial baseline decorrelation in repeat-pass interferometry. Proceedings of the IGARSS 2019\u20142019 IEEE International Geoscience and Remote Sensing Symposium, Yokohama, Japan.","DOI":"10.1109\/IGARSS.2019.8898853"},{"key":"ref_43","first-page":"1","article-title":"Earth-based repeat-pass SAR interferometry of the moon: Spatial\u2013temporal baseline analysis","volume":"60","author":"Li","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1016\/j.pss.2012.10.006","article-title":"SAR interferometry at Venus for topography and change detection","volume":"73","author":"Meyer","year":"2012","journal-title":"Planet. Space Sci."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/14\/2555\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T15:15:38Z","timestamp":1760109338000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/14\/2555"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,12]]},"references-count":44,"journal-issue":{"issue":"14","published-online":{"date-parts":[[2024,7]]}},"alternative-id":["rs16142555"],"URL":"https:\/\/doi.org\/10.3390\/rs16142555","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2024,7,12]]}}}