{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:50:59Z","timestamp":1760241059887,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T00:00:00Z","timestamp":1574985600000},"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":["61771446"],"award-info":[{"award-number":["61771446"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In two dimensional cross-range multiple-input multiple-output radar imaging for aerial targets, due to the non-cooperative movement of the targets, the estimated imaging plane parameters, namely the center and the posture angles of the imaging plane, may have deviations from true values, which defocus the final image. This problem is called imaging plane mismatch in this paper. Focusing on this problem, firstly the deviations of spatial spectrum fulfilling region caused by imaging plane mismatch is analyzed, as well as the errors of the corresponding spatial spectral values. Thereupon, the calibration operation is deduced when the imaging plane parameters are accurately obtained. Afterwards, an imaging plane calibration algorithm is proposed to utilize particle swarm optimization to search out the imaging plane parameters. Finally, it is demonstrated through simulations that the proposed algorithm can accurately estimate the imaging plane parameters and achieve good image focusing performance.<\/jats:p>","DOI":"10.3390\/s19235261","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T10:58:21Z","timestamp":1575025101000},"page":"5261","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["An Imaging Plane Calibration Method for MIMO Radar Imaging"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1697-7329","authenticated-orcid":false,"given":"Yuanyue","family":"Guo","sequence":"first","affiliation":[{"name":"Key Laboratory of Electromagnetic Space Information, Chinese Academy of Sciences, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Yuan","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electromagnetic Space Information, Chinese Academy of Sciences, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhaohui","family":"Wang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electromagnetic Space Information, Chinese Academy of Sciences, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2710-9367","authenticated-orcid":false,"given":"Rui","family":"Xia","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electromagnetic Space Information, Chinese Academy of Sciences, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Constancias, L., Cattenoz, M., Brouard, P., and Brun, A. (May, January 29). Coherent collocated MIMO radar demonstration for air defence applications. Proceedings of the 2013 IEEE Radar Conference (RadarCon13), Ottawa, ON, Canada.","DOI":"10.1109\/RADAR.2013.6586056"},{"key":"ref_2","unstructured":"Chen, X.P., and Zeng, X.N. (2009). Superiority Analysis of MIMO Radar in Aerial Defence and Anti-missile Battle. Telecommun. Eng., 10."},{"key":"ref_3","unstructured":"Fishler, E., Haimovich, A., Blum, R., Chizhik, D., Cimini, L., and Valenzuela, R. (2004, January 26\u201329). MIMO radar: An idea whose time has come. Proceedings of the IEEE Radar Conference, Philadelphia, PA, USA."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Li, X.R., Zhang, Z., Mao, W.X., Wang, X.M., Lu, J., and Wang, W.S. (2010, January 24\u201328). A study of frequency diversity MIMO radar beamforming. Proceedings of the IEEE International Conference on Signal Processing, Beijing, China.","DOI":"10.1109\/ICOSP.2010.5655139"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1269","DOI":"10.1109\/TIP.2009.2039374","article-title":"Two-dimensional imaging via a narrowband MIMO radar system with two perpendicular linear arrays","volume":"19","author":"Wang","year":"2009","journal-title":"IEEE Trans. Image Process."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"709","DOI":"10.1049\/iet-rsn.2016.0108","article-title":"Joint sparsity-driven three-dimensional imaging method for multiple-input multiple-output radar with sparse antenna array","volume":"11","author":"Hu","year":"2016","journal-title":"IET Radar Sonar Navig."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"3502","DOI":"10.1109\/TAP.2015.2431725","article-title":"Ultra-wideband radar imaging using a hybrid of Kirchhoff migration and Stolt FK migration with an inverse boundary scattering transform","volume":"63","author":"Sakamoto","year":"2015","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Wang, J., Cetinkaya, H., and Yarovoy, A. (2014, January 19\u201323). NUFFT based frequency-wavenumber domain focusing under MIMO array configurations. Proceedings of the 2014 IEEE Radar Conference, Cincinnati, OH, USA.","DOI":"10.1109\/RADAR.2014.7133686"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1017\/S1759078713000251","article-title":"3D imaging by fast deconvolution algorithm in short-range UWB radar for concealed weapon detection","volume":"5","author":"Savelyev","year":"2013","journal-title":"Int. J. Microw. Wirel. Technol."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"2692","DOI":"10.1109\/TGRS.2010.2040747","article-title":"Modified Kirchhoff migration for UWB MIMO array-based radar imaging","volume":"48","author":"Zhuge","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1109\/JSTSP.2009.2038964","article-title":"Iterative adaptive approaches to MIMO radar imaging","volume":"4","author":"Roberts","year":"2010","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1088","DOI":"10.1109\/TSP.2010.2096218","article-title":"Sparse learning via iterative minimization with application to MIMO radar imaging","volume":"59","author":"Tan","year":"2010","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"816","DOI":"10.1109\/LGRS.2014.2363110","article-title":"MIMO radar sparse imaging with phase mismatch","volume":"12","author":"Ding","year":"2014","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_14","first-page":"1061555","article-title":"A MIMO radar quadrature and multi-channel amplitude-phase error combined correction method based on cross-correlation","volume":"Volume 10615","author":"Yun","year":"2018","journal-title":"Proceedings of the Ninth International Conference on Graphic and Image Processing (ICGIP 2017)"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2236","DOI":"10.1109\/TAES.2015.140428","article-title":"MIMO radar imaging with imperfect carrier synchronization: A point spread function analysis","volume":"51","author":"Ding","year":"2015","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Liu, C., Yan, J., and Chen, W. (2012, January 25\u201330). Sparse self-calibration by MAP method for MIMO radar imaging. Proceedings of the 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Kyoto, Japan.","DOI":"10.1109\/ICASSP.2012.6288416"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1109\/LSP.2013.2289740","article-title":"Sparse direction of arrival estimation using co-prime arrays with off-grid targets","volume":"21","author":"Tan","year":"2014","journal-title":"IEEE Signal Process. Lett."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"631","DOI":"10.3390\/rs5020631","article-title":"Sparse frequency diverse MIMO radar imaging for off-grid target based on adaptive iterative MAP","volume":"5","author":"He","year":"2013","journal-title":"Remote Sens."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1109\/LGRS.2009.2038728","article-title":"Three-Dimensional Imaging via Wideband MIMO Radar System","volume":"7","author":"Duan","year":"2010","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_20","unstructured":"Eberhart, R., and Kennedy, J. (1995, January 4\u20136). A new optimizer using particle swarm theory. Proceedings of the Sixth International Symposium on Micro Machine and Human Science, Nagoya, Japan."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Kennedy, J. (2010). Particle swarm optimization. Encyclopedia of Machine Learning, Springer.","DOI":"10.1007\/978-0-387-30164-8_630"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1201","DOI":"10.1109\/LSP.2014.2329944","article-title":"Orthogonal Frequency Diversity Waveform with Range-Doppler Optimization for MIMO Radar","volume":"21","author":"Gao","year":"2014","journal-title":"IEEE Signal Process. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Chen, A.L., Wang, D.W., and Ma, X.Y. (2010, January 23\u201325). An improved BP algorithm for high-resolution MIMO imaging radar. Proceedings of the 2010 International Conference on Audio, Language and Image Processing, Shanghai, China.","DOI":"10.1109\/ICALIP.2010.5685100"},{"key":"ref_24","unstructured":"Yang, X.S. (2011, January 5\u20137). Metaheuristic optimization: Algorithm analysis and open problems. Proceedings of the 10th International Conference on Experimental Algorithms, Crete, Greece."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1109\/JSEN.2015.2478808","article-title":"A Novel Method for Multi-Targets ISAR Imaging Based on Particle Swarm Optimization and Modified CLEAN Technique","volume":"16","author":"Liu","year":"2015","journal-title":"IEEE Sens. J."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Luo, C., Wang, G., Lu, G., and Wang, D. (2016, January 10\u201313). Recovery of moving targets for a novel super-resolution imaging radar with PSO-SRC. Proceedings of the 2016 CIE International Conference on Radar (RADAR), Guangzhou, China.","DOI":"10.1109\/RADAR.2016.8059456"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/23\/5261\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:38:43Z","timestamp":1760189923000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/23\/5261"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,29]]},"references-count":26,"journal-issue":{"issue":"23","published-online":{"date-parts":[[2019,12]]}},"alternative-id":["s19235261"],"URL":"https:\/\/doi.org\/10.3390\/s19235261","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2019,11,29]]}}}