{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T03:11:26Z","timestamp":1775617886688,"version":"3.50.1"},"reference-count":43,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,5,1]],"date-time":"2022-05-01T00:00:00Z","timestamp":1651363200000},"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":["2018YFB2202500"],"award-info":[{"award-number":["2018YFB2202500"]}]},{"name":"National Key R&amp;D Program of China","award":["62171337"],"award-info":[{"award-number":["62171337"]}]},{"name":"National Key R&amp;D Program of China","award":["62101396"],"award-info":[{"award-number":["62101396"]}]},{"name":"National Key R&amp;D Program of China","award":["2017KW-ZD-12"],"award-info":[{"award-number":["2017KW-ZD-12"]}]},{"name":"National Key R&amp;D Program of China","award":["S2020-JC-JQ-0056"],"award-info":[{"award-number":["S2020-JC-JQ-0056"]}]},{"name":"National Key R&amp;D Program of China","award":["XJS212205"],"award-info":[{"award-number":["XJS212205"]}]},{"name":"National Natural Science Foundation of China","award":["2018YFB2202500"],"award-info":[{"award-number":["2018YFB2202500"]}]},{"name":"National Natural Science Foundation of China","award":["62171337"],"award-info":[{"award-number":["62171337"]}]},{"name":"National Natural Science Foundation of China","award":["62101396"],"award-info":[{"award-number":["62101396"]}]},{"name":"National Natural Science Foundation of China","award":["2017KW-ZD-12"],"award-info":[{"award-number":["2017KW-ZD-12"]}]},{"name":"National Natural Science Foundation of China","award":["S2020-JC-JQ-0056"],"award-info":[{"award-number":["S2020-JC-JQ-0056"]}]},{"name":"National Natural Science Foundation of China","award":["XJS212205"],"award-info":[{"award-number":["XJS212205"]}]},{"name":"Key R&amp;D program of Shaanxi Province","award":["2018YFB2202500"],"award-info":[{"award-number":["2018YFB2202500"]}]},{"name":"Key R&amp;D program of Shaanxi Province","award":["62171337"],"award-info":[{"award-number":["62171337"]}]},{"name":"Key R&amp;D program of Shaanxi Province","award":["62101396"],"award-info":[{"award-number":["62101396"]}]},{"name":"Key R&amp;D program of Shaanxi Province","award":["2017KW-ZD-12"],"award-info":[{"award-number":["2017KW-ZD-12"]}]},{"name":"Key R&amp;D program of Shaanxi Province","award":["S2020-JC-JQ-0056"],"award-info":[{"award-number":["S2020-JC-JQ-0056"]}]},{"name":"Key R&amp;D program of Shaanxi Province","award":["XJS212205"],"award-info":[{"award-number":["XJS212205"]}]},{"name":"Shaanxi Province Funds","award":["2018YFB2202500"],"award-info":[{"award-number":["2018YFB2202500"]}]},{"name":"Shaanxi Province Funds","award":["62171337"],"award-info":[{"award-number":["62171337"]}]},{"name":"Shaanxi Province Funds","award":["62101396"],"award-info":[{"award-number":["62101396"]}]},{"name":"Shaanxi Province Funds","award":["2017KW-ZD-12"],"award-info":[{"award-number":["2017KW-ZD-12"]}]},{"name":"Shaanxi Province Funds","award":["S2020-JC-JQ-0056"],"award-info":[{"award-number":["S2020-JC-JQ-0056"]}]},{"name":"Shaanxi Province Funds","award":["XJS212205"],"award-info":[{"award-number":["XJS212205"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["2018YFB2202500"],"award-info":[{"award-number":["2018YFB2202500"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["62171337"],"award-info":[{"award-number":["62171337"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["62101396"],"award-info":[{"award-number":["62101396"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["2017KW-ZD-12"],"award-info":[{"award-number":["2017KW-ZD-12"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["S2020-JC-JQ-0056"],"award-info":[{"award-number":["S2020-JC-JQ-0056"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["XJS212205"],"award-info":[{"award-number":["XJS212205"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>When a target is moving at high-speed, its high-resolution range profile (HRRP) will be stretched by the high-order phase error caused by the high velocity. In this case, the inverse synthetic aperture radar (ISAR) image would be seriously blurred. To obtain a well-focused ISAR image, the phase error induced by target velocity should be compensated. This article exploits the variation continuity of a high-speed moving target\u2019s velocity and proposes a noise-robust high-speed motion compensation algorithm for ISAR imaging. The target\u2019s velocity within a coherent processing interval (CPI) is modeled as a high-order polynomial based on which a parametric high-speed motion compensation signal model is developed. The entropy of the ISAR image after high-speed motion compensation is treated as an evaluation metric, and a parametric minimum entropy optimization model is established to estimate the velocity and compensate it simultaneously. A gradient-based solver of this optimization is then adopted to iteratively find the optimal solution. Finally, the high-order phase error caused by the target\u2019s high-speed motion can be iteratively compensated, and a well-focused ISAR image can be obtained. Extensive simulation experiments have verified the noise robustness and effectiveness of the proposed algorithm.<\/jats:p>","DOI":"10.3390\/rs14092178","type":"journal-article","created":{"date-parts":[[2022,5,2]],"date-time":"2022-05-02T07:08:58Z","timestamp":1651475338000},"page":"2178","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Noise Robust High-Speed Motion Compensation for ISAR Imaging Based on Parametric Minimum Entropy Optimization"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2488-8705","authenticated-orcid":false,"given":"Jiadong","family":"Wang","sequence":"first","affiliation":[{"name":"Academy of Advanced Interdisciplinary Research, Xidian University, Xi\u2019an 710071, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6672-367X","authenticated-orcid":false,"given":"Yachao","family":"Li","sequence":"additional","affiliation":[{"name":"National Laboratory of Radar Signal Processing, Xidian University, Xi\u2019an 710071, China"}]},{"given":"Ming","family":"Song","sequence":"additional","affiliation":[{"name":"Beijing Institute of Space Long March Vehicle, Beijing 100097, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7720-1183","authenticated-orcid":false,"given":"Pingping","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Information Engineering, Inner Mongolia University of Technology, Hohhot 010051, China"},{"name":"Inner Mongolia Key Laboratory of Radar Technology and Application, Hohhot 010051, China"}]},{"given":"Mengdao","family":"Xing","sequence":"additional","affiliation":[{"name":"National Laboratory of Radar Signal Processing, Xidian University, Xi\u2019an 710071, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,5,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1109\/TAES.1980.308875","article-title":"Range-Doppler imaging of rotating objects","volume":"AES-16","author":"Walker","year":"1980","journal-title":"IEEE Trans. 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Antennas Propag."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/9\/2178\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:05:30Z","timestamp":1760137530000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/9\/2178"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,1]]},"references-count":43,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2022,5]]}},"alternative-id":["rs14092178"],"URL":"https:\/\/doi.org\/10.3390\/rs14092178","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,5,1]]}}}