{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T00:44:07Z","timestamp":1760402647006,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,1,4]],"date-time":"2022-01-04T00:00:00Z","timestamp":1641254400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Postdoctoral Science Foundation of China","award":["BX20180261","2019M653739"],"award-info":[{"award-number":["BX20180261","2019M653739"]}]},{"DOI":"10.13039\/501100012130","name":"Aeronautical Science Foundation of China","doi-asserted-by":"publisher","award":["ASFC-20200020053001"],"award-info":[{"award-number":["ASFC-20200020053001"]}],"id":[{"id":"10.13039\/501100012130","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61701413"],"award-info":[{"award-number":["61701413"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Undergraduate Innovation and Entrepreneurship Training Program","award":["S202010699318"],"award-info":[{"award-number":["S202010699318"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>This paper studies the imaging of a ground moving target with airborne circular stripmap synthetic aperture radar (CSSAR). First, the range equation of a target moving with accelerations is developed. Then, a new range model of high accuracy is proposed, since the commonly used second-order Taylor-approximated range model is inaccurate when the azimuth resolution is relatively high or the target moves with accelerations. The proposed range model also makes it easy to derive an accurate analytical expression for the target\u2019s 2-D spectrum. Third, based on the proposed range model, the target\u2019s 2-D spectrum is derived and an efficient imaging method is proposed. The proposed imaging method implements focusing via a phase multiplication in the 2-D frequency domain and utilizes the genetic algorithm to accomplish an efficient search of the parameters of the proposed range model. Finally, numerical experiments are conducted to validate the proposed range model and the proposed imaging method.<\/jats:p>","DOI":"10.3390\/rs14010210","type":"journal-article","created":{"date-parts":[[2022,1,9]],"date-time":"2022-01-09T23:06:15Z","timestamp":1641769575000},"page":"210","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["An Efficient Ground Moving Target Imaging Method for Airborne Circular Stripmap SAR"],"prefix":"10.3390","volume":"14","author":[{"given":"Yongkang","family":"Li","sequence":"first","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"given":"Tianyu","family":"Huo","sequence":"additional","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"given":"Chenxi","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"given":"Tong","family":"Wang","sequence":"additional","affiliation":[{"name":"National Laboratory of Radar Signal Processing, Xidian University, Xi\u2019an 710071, China"}]},{"given":"Juan","family":"Wang","sequence":"additional","affiliation":[{"name":"China North Industries Group Corporation Limited, North Automatic Control Technology Institute, Taiyuan 030006, China"}]},{"given":"Beiyu","family":"Li","sequence":"additional","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1109\/MGRS.2013.2248301","article-title":"A Tutorial on Synthetic Aperture Radar","volume":"1","author":"Moreira","year":"2013","journal-title":"IEEE Mag. Geosci. Remote Sens."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"J\u00e4ger, M., Pinheiro, M., Ponce, O., Reigber, A., and Scheiber, R. (2015, January 24\u201326). A Survey of Novel Airborne SAR Signal Processing Techniques and Applications for DLR\u2019s F-SAR Sensor. Proceedings of the 16th International Radar Symposium (IRS), Dresden, Germany.","DOI":"10.1109\/IRS.2015.7226358"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"784","DOI":"10.1109\/JPROC.2012.2232891","article-title":"Airborne SAR-Efficient Signal Processing for Very High Resolution","volume":"3","author":"Cantalloube","year":"2013","journal-title":"Proc. IEEE."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1109\/JPROC.2012.2220511","article-title":"Very-High-Resolution Airborne Synthetic Aperture Radar Imaging: Signal Processing and Applications","volume":"3","author":"Reigber","year":"2013","journal-title":"Proc. IEEE"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Ren, Y., Tang, S.Y., Guo, P., So, H.C., and Zhang, L.R. (2021). 2-D Spatially Variant Motion Error Compensation for High-Resolution Airborne SAR Based on Range-Doppler Expansion Approach. IEEE Trans. Geosci. Remote Sens., in press.","DOI":"10.1109\/TGRS.2020.3048115"},{"key":"ref_6","first-page":"1984","article-title":"Theory of Synthetic Aperture Radar Imaging of a Moving Target","volume":"9","author":"Jao","year":"2001","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1049\/iet-rsn.2015.0128","article-title":"Virtual Multichannel SAR for Ground Moving Target Imaging","volume":"1","author":"Bacci","year":"2016","journal-title":"IET Radar Sonar Navigat."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/LGRS.2006.882147","article-title":"A Keystone Transform Without Interpolation for SAR Ground Moving-Target Imaging","volume":"1","author":"Zhu","year":"2007","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Wan, J., Tan, X., Chen, Z., Dong, L., Liu, Q., Zhou, Y., and Zhang, L. (2021). Refocusing of Ground Moving Targets with Doppler Ambiguity Using Keystone Transform and Modified Second-Order Keystone Transform for Synthetic Aperture Radar. Remote Sens., 2.","DOI":"10.3390\/rs13020177"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1109\/TGRS.2010.2053848","article-title":"Ground Moving Targets Imaging Algorithm for Synthetic Aperture Radar","volume":"1","author":"Zhu","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1554","DOI":"10.1109\/TGRS.2015.2483019","article-title":"Dual-Platform Large Along-Track Baseline GMTI","volume":"3","author":"Baumgartner","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Hashemi, S.R.S., Bayat, S., and Nayebi, M.M. (2015, January 1\u20134). Ground-Based Moving Target Imaging in a Circular Strip-Map Synthetic Aperture Radar. Proceedings of the IEEE 5th Asia-Pacific Conference on Synthetic Aperture Radar (APSAR), Singapore.","DOI":"10.1109\/APSAR.2015.7306333"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Shao, Y., Chen, Z.Y., and Wu, X.B. (2014, January 16\u201323). Investigation on Imaging Performance of Circular Scanning Synthetic Aperture Radar. Proceedings of the XXXIth URSI General Assembly and Scientific Symposium (URSI GASS), Beijing, China.","DOI":"10.1109\/URSIGASS.2014.6929636"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"887","DOI":"10.1109\/LGRS.2016.2544799","article-title":"Two-Dimensional Spectrum for Circular Trace Scanning SAR Based on an Implicit Function","volume":"7","author":"Liao","year":"2016","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_15","unstructured":"Baumgartner, S.V. (2018, January 4\u20137). Circular and Polarimetric ISAR Imaging of Ships Using Airborne SAR Sensors. Proceedings of the 12th European Conference on Synthetic Aperture Radar (EUSAR), Berlin, Germany."},{"key":"ref_16","unstructured":"Cumming, I.G., and Wong, F.H. (2004). Digital Processing of Synthetic Aperture Radar Data: Algorithm and Implementation, Artech House."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"966","DOI":"10.1109\/TGRS.2012.2204889","article-title":"Robust Ground Moving-Target Imaging Using Deramp\u2013Keystone Processing","volume":"2","author":"Sun","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1109\/TAES.2006.1603430","article-title":"Dual-Speed SAR Imaging of Moving Targets","volume":"1","author":"Wang","year":"2006","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_19","first-page":"966","article-title":"Focused SAR Image Formation of Moving Targets Based on Doppler Parameter Estimation","volume":"2","author":"Noviello","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1016\/B978-0-12-396500-4.00018-1","article-title":"Multi-Channel SAR for ground Moving Target Indication","volume":"2","author":"Baumgartner","year":"2014","journal-title":"Elsevier Acad. Press Libr. Signal Process."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1105","DOI":"10.1109\/TGRS.2014.2334322","article-title":"Geometry-Information-Aided Efficient Radial Velocity Estimation for Moving Target Imaging and Location Based on Radon Transform","volume":"2","author":"Zhang","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1109\/TGRS.2016.2606436","article-title":"Ground Maneuvering Target Imaging and High-Order Motion Parameter Estimation Based on Second-Order Keystone and Generalized Hough-HAF Transform","volume":"1","author":"Huang","year":"2017","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"4486","DOI":"10.1109\/JSTARS.2019.2951199","article-title":"Ground Maneuvering Targets Imaging for Synthetic Aperture Radar Based on Second-Order Keystone Transform and High-Order Motion Parameter Estimation","volume":"11","author":"Zeng","year":"2019","journal-title":"IEEE J. Sel. Topics Appl. Earth Observ. Remote Sens."},{"key":"ref_24","first-page":"1","article-title":"An Efficient Ground Maneuvering Target Refocusing Method Based on Principal Component Analysis and Motion Parameter Estimation","volume":"12","author":"Li","year":"2020","journal-title":"Remote Sens."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"500","DOI":"10.1109\/TGRS.2010.2053211","article-title":"Focusing of Medium-Earth-Orbit SAR with Advanced Nonlinear Chirp Scaling Algorithm","volume":"49","author":"Huang","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_26","first-page":"324","article-title":"High-Resolution SAR Imaging of Ground Moving Targets Based on the Equivalent Range Equation","volume":"2","author":"Li","year":"2015","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1062","DOI":"10.1109\/TGRS.2015.2473705","article-title":"High-Resolution SAR-Based Ground Moving Target Imaging With Defocused ROI Data","volume":"2","author":"Zhang","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"3283","DOI":"10.1109\/TGRS.2018.2883210","article-title":"SAR Ground Moving Target Imaging Based on a New Range Model Using a Modified Keystone Transform","volume":"6","author":"Jin","year":"2019","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_29","first-page":"1","article-title":"Multichannel Synthetic Aperture Radar Signatures and Imaging of a Moving Target","volume":"5","author":"Jao","year":"2013","journal-title":"Inverse Probl."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"529","DOI":"10.1109\/LGRS.2013.2271691","article-title":"Imaging and Parameter Estimation of Fast-Moving Targets with Single-Antenna SAR","volume":"2","author":"Yang","year":"2014","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"2254","DOI":"10.1109\/TGRS.2015.2498158","article-title":"SAR Ground Moving Target Imaging Algorithm Based on Parametric and Dynamic Sparse Bayesian Learning","volume":"4","author":"Yang","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1109\/2.294849","article-title":"Genetic Algorithms: A Survey","volume":"6","author":"Srinivas","year":"1994","journal-title":"Computer"},{"key":"ref_33","first-page":"65","article-title":"A Genetic Algorithm Tutorial","volume":"4","author":"Whitley","year":"1994","journal-title":"Stattics Comput."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1109\/TEVC.2006.880727","article-title":"Clustering-Based Adaptive Crossover and Mutation Probabilities for Genetic Algorithms","volume":"3","author":"Zhang","year":"2007","journal-title":"IEEE Trans. Evol. Comput."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1875","DOI":"10.1109\/LGRS.2016.2616352","article-title":"Measurement Matrix Optimization for ISAR Sparse Imaging Based on Genetic Algorithm","volume":"12","author":"Chen","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"3034","DOI":"10.1109\/TAP.2012.2194642","article-title":"An Improved Real-Coded Genetic Algorithm for the Beam Forming of Spaceborne SAR","volume":"6","author":"Shi","year":"2012","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Zhang, T., Liao, G.S., Li, Y.C., Gu, T., Zhang, T.H., and Liu, Y.J. (2021). A Two-Stage Time-Domain Autofocus Method Based on Generalized Sharpness Metrics and AFBP. IEEE Trans. Geosci. Remote Sens., in press.","DOI":"10.1109\/TGRS.2021.3068789"}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/1\/210\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T14:00:04Z","timestamp":1760364004000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/1\/210"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,4]]},"references-count":37,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2022,1]]}},"alternative-id":["rs14010210"],"URL":"https:\/\/doi.org\/10.3390\/rs14010210","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2022,1,4]]}}}