{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T12:25:55Z","timestamp":1772886355983,"version":"3.50.1"},"reference-count":36,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T00:00:00Z","timestamp":1707264000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key R&amp;D Program of China","award":["2022YFB3901601"],"award-info":[{"award-number":["2022YFB3901601"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Circular synthetic aperture radar (CSAR) possesses the capability of multi-angle observation, breaking through the geometric observation constraints of traditional strip SAR and holding the potential for three-dimensional imaging. Its sub-wavelength level of planar resolution, resulting from a long synthetic aperture, makes CSAR highly valuable in the field of high-precision mapping. However, the motion geometry of CSAR is more intricate compared to traditional strip SAR, demanding high precision from navigation systems. The accumulation of errors over the long synthetic aperture time cannot be overlooked. CSAR exhibits significant coupling between the range and azimuth directions, making traditional motion compensation methods based on linear SAR unsuitable for direct application in CSAR. The dynamic nature of flight, with its continuous changes in attitude, introduces a significant deformation error between the non-rigidly connected Inertial Measurement Unit (IMU) and the Global Positioning System (GPS). This deformation error makes it difficult to accurately obtain radar position information, resulting in imaging defocus. The research in this article uncovers a correlation between the deformation error and radial acceleration. Leveraging this insight, we propose utilizing radial acceleration to estimate residual motion errors. This paper delves into the analysis of Position and Orientation System (POS) errors, presenting a novel high-resolution CSAR motion compensation method based on airborne platform acceleration information. Once the system deformation parameters are calibrated using point targets, the deformation error can be directly calculated and compensated based on the acceleration information, ultimately resulting in the generation of a high-resolution image. In this paper, the effectiveness of the method is verified with airborne flight test data. This method can compensate for the deformation error and effectively improve the peak sidelobe ratio and integral sidelobe ratio of the target, thus improving image quality. The introduction of acceleration information provides new means and methods for high-resolution CSAR imaging.<\/jats:p>","DOI":"10.3390\/rs16040623","type":"journal-article","created":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T11:03:14Z","timestamp":1707303794000},"page":"623","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Position and Orientation System Error Analysis and Motion Compensation Method Based on Acceleration Information for Circular Synthetic Aperture Radar"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-1764-3069","authenticated-orcid":false,"given":"Zhenhua","family":"Li","sequence":"first","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dawei","family":"Wang","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fubo","family":"Zhang","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yi","family":"Xie","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hang","family":"Zhu","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0029-1368","authenticated-orcid":false,"given":"Wenjie","family":"Li","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3333-0394","authenticated-orcid":false,"given":"Yihao","family":"Xu","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Longyong","family":"Chen","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"6562","DOI":"10.1109\/TGRS.2020.3028930","article-title":"Focusing Challenges of Ships With Oscillatory Motions and Long Coherent Processing Interval","volume":"59","author":"Liu","year":"2021","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Yang, L., Zhang, F., Sun, Y., Chen, L., Li, Z., and Wang, D. (2023). Motion Error Estimation and Compensation of Airborne Array Flexible SAR Based on Multi-Channel Interferometric Phase. Remote Sens., 15.","DOI":"10.3390\/rs15030680"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"4827","DOI":"10.1109\/TGRS.2020.3015904","article-title":"2-D Beam Steering Method for Squinted High-Orbit SAR Imaging","volume":"59","author":"Liu","year":"2021","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2192","DOI":"10.1109\/36.789616","article-title":"Experimental studies on circular SAR imaging in clutter using angular correlation function technique","volume":"37","author":"Kuga","year":"1999","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1252","DOI":"10.1109\/83.506760","article-title":"Reconnaissance with slant plane circular SAR imaging","volume":"5","author":"Soumekh","year":"1996","journal-title":"IEEE Trans. Image Process."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1524","DOI":"10.1109\/36.718856","article-title":"An imaging technique using confocal circular synthetic aperture radar","volume":"36","author":"Ishimaru","year":"1998","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_7","first-page":"2716","article-title":"Review of CSAR imaging techniques","volume":"42","author":"Jianfeng","year":"2020","journal-title":"Syst. Eng. Electron."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1248","DOI":"10.1109\/LGRS.2017.2704601","article-title":"Holographic SAR Tomography Image Reconstruction by Combination of Adaptive Imaging and Sparse Bayesian Inference","volume":"14","author":"Bao","year":"2017","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_9","first-page":"5213512","article-title":"Airborne Circular Flight Array SAR 3-D Imaging Algorithm of Buildings Based on Layered Phase Compensation in the Wavenumber Domain","volume":"61","author":"Li","year":"2023","journal-title":"IIEEE Trans. Geosci. Remote Sens."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Ponce, O., Prats, P., Scheiber, R., Reigber, A., and Moreira, A. (2013, January 21\u201326). Analysis and optimization of multi-circular SAR for fully polarimetric holographic tomography over forested areas. Proceedings of the 2013 IEEE International Geoscience and Remote Sensing Symposium\u2014IGARSS, Melbourne, Australia.","DOI":"10.1109\/IGARSS.2013.6723294"},{"key":"ref_11","first-page":"698","article-title":"Circular SAR optimization imaging method of buildings","volume":"4","author":"Wang","year":"2015","journal-title":"J. Radars"},{"key":"ref_12","first-page":"909","article-title":"Research on Full-aspect Three-dimensional SAR Imaging Method for Complex Structural Facilities without Prior Model","volume":"11","author":"Lin","year":"2022","journal-title":"J. Radars"},{"key":"ref_13","first-page":"633","article-title":"Research progress on three-dimensional SAR imaging techniques","volume":"7","author":"Hong","year":"2018","journal-title":"J. Radars"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Ponce, O., Rommel, T., Younis, M., Prats, P., and Moreira, A. (2014, January 16\u201318). Multiple-input multiple-output circular SAR. Proceedings of the 2014 15th International Radar Symposium (IRS), Gda\u0144sk, Poland.","DOI":"10.1109\/IRS.2014.6869262"},{"key":"ref_15","unstructured":"Ponce, O., Almeida, F.Q.D., and Rommel, T. (2016, January 26\u201330). Multiple-Input Multiple-Output Circular SAR for High Altitude Pseudo-Satellites. Proceedings of the Space Generation Congress\/International Astronautical Congress Proceedings, Guadalajara, Mexico."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1109\/TAES.2003.1188905","article-title":"3-D E-CSAR imaging of a T-72 tank and synthesis of its SAR reconstructions","volume":"39","author":"Bryant","year":"2003","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_17","first-page":"1874","article-title":"Projected confocal 3D imaging algorithm for circular SAR","volume":"30","author":"Wu","year":"2008","journal-title":"Syst. Eng. Electron."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1844","DOI":"10.1109\/TGRS.2008.2007591","article-title":"Focusing of Airborne Synthetic Aperture Radar Data From Highly Nonlinear Flight Tracks","volume":"47","author":"Frey","year":"2009","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"760","DOI":"10.1109\/TAES.2003.1238734","article-title":"Synthetic-aperture radar processing using fast factorized back-projection","volume":"39","author":"Ulander","year":"2003","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2802","DOI":"10.3724\/SP.J.1146.2010.00003","article-title":"Polar format algorithm for circular synthetic aperture radar","volume":"32","author":"Lin","year":"2010","journal-title":"J. Electron. Inf. Technol."},{"key":"ref_21","first-page":"221","article-title":"Study of the airborne circular synthetic aperture radar imaging technology","volume":"9","author":"An","year":"2020","journal-title":"J. Radars"},{"key":"ref_22","first-page":"948","article-title":"Motion error analysis and compensation techniques for circular SAR","volume":"35","author":"Zhou","year":"2013","journal-title":"Syst. Eng. Electron."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"124","DOI":"10.3724\/SP.J.1300.2012.20046","article-title":"Progress in circular SAR imaging technique","volume":"1","author":"Wen","year":"2012","journal-title":"J. Radars"},{"key":"ref_24","first-page":"681","article-title":"A Focusing Algorithm for Circular SAR Based on Phase Error Estimation in Image Domain","volume":"4","author":"Guo","year":"2015","journal-title":"J. Radars"},{"key":"ref_25","unstructured":"Lin, Y., Hong, W., Tan, W., Wang, Y., and Wu, Y. (2011, January 24\u201327). A novel PGA technique for circular SAR based on echo regeneration. Proceedings of the 2011 IEEE CIE International Conference on Radar, Chengdu, China."},{"key":"ref_26","first-page":"1409","article-title":"Autofocus algorithm of high resolution SAR based on polar format algorithm processing","volume":"37","author":"Zeng","year":"2015","journal-title":"J. Electron. Inf. Technol."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Zhang, B.J., Zhang, X.L., and Wei, S.J. (2015, January 26\u201331). A multiple-subapertures autofocusing algorithm for circular SAR imaging. Proceedings of the 2015 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), Milan, Italy.","DOI":"10.1109\/IGARSS.2015.7326303"},{"key":"ref_28","unstructured":"Luo, Y., Chen, L., An, D., and Huang, X. (2016, January 8\u201311). Extended factorized geometrical autofocus for circular synthetic aperture radar processing. Proceedings of the 2016 Progress in Electromagnetic Research Symposium (PIERS), Shanghai, China."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Wang, X., Wu, Q., and Yang, J. (2016, January 10\u201313). Extended PGA processing of high resolution airborne SAR imagery reconstructed via backprojection algorithm. Proceedings of the 2016 CIE International Conference on Radar (RADAR), Guangzhou, China.","DOI":"10.1109\/RADAR.2016.8059590"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Kan, X., Cheng, M., Li, Y., Sheng, J., and Fu, C. (2018, January 10\u201312). The Imaging Quality\u2019s Analysis of Terahertz Circular SAR Affected by the Motion Error. Proceedings of the 2018 China International SAR Symposium (CISS), Shanghai, China.","DOI":"10.1109\/SARS.2018.8552001"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Li, B., Ma, Y., Chu, L., Hou, X., Li, W., and Shi, Y. (2023). A Backprojection-Based Autofocus Imaging Method for Circular Synthetic Aperture Radar. Electronics, 12.","DOI":"10.3390\/electronics12122561"},{"key":"ref_32","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. Aerosp. Electron. Syst."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Cantalloube, H.M.J., Colin-Koeniguer, E., and Oriot, H. (2007, January 23\u201328). High resolution SAR imaging along circular trajectories. Proceedings of the 2007 IEEE International Geoscience and Remote Sensing Symposium, Barcelona, Spain.","DOI":"10.1109\/IGARSS.2007.4422930"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"2397","DOI":"10.1109\/TGRS.2017.2779852","article-title":"Estimation of Residual Motion Errors in Airborne SAR Interferometry Based on Time-Domain Backprojection and Multisquint Techniques","volume":"56","author":"Cao","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1026","DOI":"10.1109\/LGRS.2011.2150732","article-title":"Interferometric Circular SAR Method for Three-Dimensional Imaging","volume":"8","author":"Lin","year":"2011","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_36","first-page":"3020","article-title":"BP autofocus algorithm based on Chebyshev fitting","volume":"44","author":"Li","year":"2022","journal-title":"Syst. Eng. Electron."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/4\/623\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T13:56:43Z","timestamp":1760104603000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/4\/623"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2,7]]},"references-count":36,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2024,2]]}},"alternative-id":["rs16040623"],"URL":"https:\/\/doi.org\/10.3390\/rs16040623","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,2,7]]}}}