{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T10:55:05Z","timestamp":1761648905096,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"14","license":[{"start":{"date-parts":[[2021,7,12]],"date-time":"2021-07-12T00:00:00Z","timestamp":1626048000000},"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":["61971401","61901442"],"award-info":[{"award-number":["61971401","61901442"]}],"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>Due to the atmospheric turbulence, the motion trajectory of airborne very high resolution (VHR) synthetic aperture radars (SARs) is inevitably affected, which introduces range-variant range cell migration (RCM) and aperture-dependent azimuth phase error (APE). Both types of errors consequently result in defocused images, as residual range- and aperture-dependent motion errors are significant in VHR-SAR images. Nevertheless, little work has been devoted to the range-variant RCM auto-correction and aperture-dependent APE auto-correction. In this paper, a precise motion compensation (MoCo) scheme for airborne VHR-SAR is studied. In the proposed scheme, the motion error is obtained from inertial measurement unit and SAR data, and compensated for with respect to both range and aperture. The proposed MoCo scheme compensates for the motion error without space-invariant approximation. Simulations and experimental data from an airborne 3.6 GHz bandwidth SAR are employed to demonstrate the validity and effectiveness of the proposed MoCo scheme.<\/jats:p>","DOI":"10.3390\/rs13142729","type":"journal-article","created":{"date-parts":[[2021,7,12]],"date-time":"2021-07-12T21:56:37Z","timestamp":1626126997000},"page":"2729","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["A Novel Motion Compensation Scheme for Airborne Very High Resolution SAR"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6569-2077","authenticated-orcid":false,"given":"Zhen","family":"Chen","sequence":"first","affiliation":[{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhimin","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Space Microwave Remote Sensing System, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1809-4004","authenticated-orcid":false,"given":"Yashi","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pei","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Space Microwave Remote Sensing System, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinsong","family":"Qiu","sequence":"additional","affiliation":[{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,7,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1049\/ip-rsn:20045087","article-title":"Extended wavenumber-domain synthetic aperture radar focusing with integrated motion compensation","volume":"153","author":"Reigber","year":"2006","journal-title":"IEE Proc. Radar Sonar Navig."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1029","DOI":"10.1109\/36.312891","article-title":"Airborne SAR processing of highly squinted data using a chirp scaling approach with integrated motion compensation","volume":"32","author":"Moreira","year":"1994","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_3","unstructured":"Nguyen, M.P. (2014). Bewegungskompensation und Autofokussierung von SAR-Rohdaten mit gro\u00dfem Schielwinkel, VDI-Verlag."},{"key":"ref_4","first-page":"764","article-title":"A New Approach to Airborne High Resolution SAR Motion Compensation for Large Trajectory Deviations","volume":"21","author":"Dadi","year":"2012","journal-title":"Chin. J. Electron."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1108","DOI":"10.1049\/el.2015.1350","article-title":"Comparison of two-step and one-step motion compensation algorithms for airborne synthetic aperture radar","volume":"51","author":"Yang","year":"2015","journal-title":"Electron. Lett."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Ribalta, A. (2016, January 10\u201315). One-step Motion Compensation Algorithm for squinted SAR. Proceedings of the 2016 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), Beijing, China.","DOI":"10.1109\/IGARSS.2016.7729292"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1435","DOI":"10.1109\/JSEN.2018.2881116","article-title":"Range- and Aperture-Dependent Motion Compensation Based on Precise Frequency Division and Chirp Scaling for Synthetic Aperture Radar","volume":"19","author":"Lu","year":"2019","journal-title":"IEEE Sens. J."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1487","DOI":"10.1109\/TGRS.2009.2031910","article-title":"Building Height Retrieval From VHR SAR Imagery Based on an Iterative Simulation and Matching Technique","volume":"48","author":"Brunner","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2090","DOI":"10.1109\/JSTARS.2018.2799601","article-title":"Efficient Space-Variant Motion Compensation Approach for Ultra-High-Resolution SAR Based on Subswath Processing","volume":"11","author":"Yang","year":"2018","journal-title":"IEEE J. Sel. Top. Appl. Earth Observ. Remote Sens."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1719","DOI":"10.1109\/TGRS.2013.2253781","article-title":"Minimum-Entropy-Based Autofocus Algorithm for SAR Data Using Chebyshev Approximation and Method of Series Reversion, and Its Implementation in a Data Processor","volume":"52","author":"Xiong","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1219","DOI":"10.1109\/LGRS.2012.2236817","article-title":"Improvements to the Frequency Division-Based Subaperture Algorithm for Motion Compensation in Wide-Beam SAR","volume":"10","author":"Li","year":"2013","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2780","DOI":"10.1109\/TGRS.2011.2175737","article-title":"A Robust Motion Error Estimation Method Based on Raw Data","volume":"50","author":"Li","year":"2012","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1109\/LGRS.2012.2196676","article-title":"Compensation for the NsRCM and Phase Error After Polar Format Resampling for Airborne Spotlight SAR Raw Data of High Resolution","volume":"10","author":"Yang","year":"2013","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"997","DOI":"10.1109\/7.784069","article-title":"Trajectory deviations in airborne SAR: Analysis and compensation","volume":"35","author":"Fornaro","year":"1999","journal-title":"IEEE Trans. Aerospace Electron. Syst."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Wang, D., Bai, X., Zhao, J., and Tao, R. (2012, January 16\u201318). Improved two dimensional autofocus of SAR imaging. Proceedings of the 2012 5th International Congress on Image and Signal Processing, Chongqing, China.","DOI":"10.1109\/CISP.2012.6469843"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"827","DOI":"10.1109\/7.303752","article-title":"Phase gradient autofocus-a robust tool for high resolution SAR phase correction","volume":"30","author":"Wahl","year":"1994","journal-title":"IEEE Trans. Aerospace Electron. Syst."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Callow, H.J., Hayes, M.P., and Gough, P.T. (2003, January 22\u201326). Stripmap phase gradient autofocus. Proceedings of the Oceans 2003. Celebrating the Past ... Teaming toward the Future (IEEE Cat. No.03CH37492), San Diego, CA, USA.","DOI":"10.1109\/OCEANS.2003.178291"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Kantor, J.M. (2017, January 8\u201312). Minimum entropy autofocus correction of residual range cell migration. Proceedings of the 2017 IEEE Radar Conference (RadarConf), Seattle, WA, USA.","DOI":"10.1109\/RADAR.2017.7944162"},{"key":"ref_19","first-page":"524","article-title":"Two-dimensional Autofocus for Spotlight SAR Polar Format Imagery","volume":"2","author":"Mao","year":"2016","journal-title":"IEEE Trans. Comput. Imaging"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2693","DOI":"10.1109\/TAES.2013.6621846","article-title":"Autofocus Correction of APE and Residual RCM in Spotlight SAR Polar Format Imagery","volume":"49","author":"Mao","year":"2013","journal-title":"IEEE Trans. Aerospace Electron. Syst."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Mao, X., Zhu, D., and Zhang, Y.D. (May, January 29). Knowledge-aided two-dimensional autofocus for synthetic aperture radar. Proceedings of the 2013 IEEE Radar Conference (RadarCon13), Ottawa, ON, Canada.","DOI":"10.1109\/RADAR.2013.6585964"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"3814","DOI":"10.1109\/TGRS.2018.2812240","article-title":"A Coarse-to-Fine Autofocus Approach for Very High-Resolution Airborne Stripmap SAR Imagery","volume":"56","author":"Li","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1049\/iet-spr.2015.0162","article-title":"Two-dimensional autofocus technique for high-resolution spotlight synthetic aperture radar","volume":"10","author":"Zeng","year":"2016","journal-title":"IET Signal Process."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1109\/TGRS.2016.2608423","article-title":"Autofocus Correction of Residual RCM for VHR SAR Sensors with Light-Small Aircraft","volume":"55","author":"Li","year":"2017","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"4375","DOI":"10.1109\/TGRS.2019.2890978","article-title":"Residual RCM Correction for LFM-CW Mini-SAR System Based on Fast-Time Split-Band Signal Interferometry","volume":"57","author":"Fu","year":"2019","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Chen, J., Liang, B., Yang, D., Zhao, D., Xing, M., and Sun, G. (2019). Two-Step Accuracy Improvement of Motion Compensation for Airborne SAR with Ultrahigh Resolution and Wide Swath. IEEE Trans. Geosci. Remote Sens., 1\u201313.","DOI":"10.1109\/TGRS.2019.2911952"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"4339","DOI":"10.1109\/TGRS.2013.2281454","article-title":"Azimuth Resampling Processing for Highly Squinted Synthetic Aperture Radar Imaging with Several Modes","volume":"52","author":"Xing","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1109\/LGRS.2007.895712","article-title":"Comparison of Topography- and Aperture-Dependent Motion Compensation Algorithms for Airborne SAR","volume":"4","author":"Prats","year":"2007","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Zheng, X., Yu, W., and Li, Z. (August, January 31). A Novel Algorithm for Wide Beam SAR Motion Compensation Based on Frequency Division. Proceedings of the 2006 IEEE International Symposium on Geoscience and Remote Sensing, Denver, CO, USA.","DOI":"10.1109\/IGARSS.2006.811"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Zhou, Y., Wang, P., Ye, K., Deng, Y., Wang, R., Zhang, H., and Zhao, Q. (August, January 28). A 3.6 GHZ X-Band Wideband Experimental Airborne Sar System. Proceedings of the IGARSS 2019, 2019 IEEE International Geoscience and Remote Sensing Symposium, Yokohama, Japan.","DOI":"10.1109\/IGARSS.2019.8900116"}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/13\/14\/2729\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T06:29:08Z","timestamp":1760164148000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/13\/14\/2729"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,12]]},"references-count":30,"journal-issue":{"issue":"14","published-online":{"date-parts":[[2021,7]]}},"alternative-id":["rs13142729"],"URL":"https:\/\/doi.org\/10.3390\/rs13142729","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2021,7,12]]}}}