{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,17]],"date-time":"2026-06-17T01:03:03Z","timestamp":1781658183752,"version":"3.54.5"},"reference-count":38,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,4,29]],"date-time":"2024-04-29T00:00:00Z","timestamp":1714348800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Sub-Nyquist synthetic aperture radar (SAR) based on pseudo-random time\u2013space modulation has been proposed to increase the swath width while preserving the azimuthal resolution. Due to the sub-Nyquist sampling, the scene can be recovered by an optimization-based algorithm. However, these methods suffer from some issues, e.g., manually tuning difficulty and the pre-definition of optimization parameters, and a low signal\u2013noise ratio (SNR) resistance. To address these issues, a reweighted optimization algorithm, named pseudo-\u21120-norm optimization algorithm, is proposed for the sub-Nyquist SAR system in this paper. A modified regularization model is first built by applying the scene prior information to nearly acquire the number of nonzero elements based on Bayesian estimation, and then this model is solved by the Cauchy\u2013Newton method. Additionally, an error correction method combined with our proposed pseudo-\u21120-norm optimization algorithm is also present to eliminate defocusing in the motion-induced model. Finally, experiments with simulated signals and strip-map TerraSAR-X images are carried out to demonstrate the effectiveness and superiority of our proposed algorithm.<\/jats:p>","DOI":"10.3390\/s24092840","type":"journal-article","created":{"date-parts":[[2024,4,29]],"date-time":"2024-04-29T10:33:36Z","timestamp":1714386816000},"page":"2840","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Sub-Nyquist SAR Imaging and Error Correction Via an Optimization-Based Algorithm"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9009-0657","authenticated-orcid":false,"given":"Wenjiao","family":"Chen","sequence":"first","affiliation":[{"name":"The Department of Space Control and Communications, Space Engineering University, Beijing 102249, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Li","family":"Zhang","sequence":"additional","affiliation":[{"name":"The 15th Research Institute of China Electronics Technology Corporation, Beijing 100083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaocen","family":"Xing","sequence":"additional","affiliation":[{"name":"The Department of Space Control and Communications, Space Engineering University, Beijing 102249, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xin","family":"Wen","sequence":"additional","affiliation":[{"name":"The Department of Space Control and Communications, Space Engineering University, Beijing 102249, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qiuxuan","family":"Zhang","sequence":"additional","affiliation":[{"name":"The Department of Space Control and Communications, Space Engineering University, Beijing 102249, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,4,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3317","DOI":"10.1109\/TGRS.2007.900693","article-title":"TanDEM-X: A satellite formation for high-resolution SAR interferometry","volume":"45","author":"Krieger","year":"2007","journal-title":"IEEE Trans. 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