{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:56:27Z","timestamp":1760241387594,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2018,3,14]],"date-time":"2018-03-14T00:00:00Z","timestamp":1520985600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>The multi-baseline synthetic aperture radar (SAR) tomography (TomoSAR) system is employed in such applications as disaster remote sensing, urban 3-D reconstruction, and forest carbon storage estimation. This is because of its 3-D imaging capability in a single-pass platform. However, a high 3-D resolution of TomoSAR is based on the premise that the channel imbalance and antenna phase center (APC) position are precisely known. If this is not the case, the 3-D resolution performance will be seriously degraded. In this paper, a unified algorithm for channel imbalance and APC position calibration of a single-pass multi-baseline TomoSAR system is proposed. Based on the maximum likelihood method, as well as the least squares and the damped Newton method, we can calibrate the channel imbalance and APC position. The algorithm is suitable for near-field conditions, and no phase unwrapping operation is required. The effectiveness of the proposed algorithm has been verified by simulation and experimental results.<\/jats:p>","DOI":"10.3390\/rs10030456","type":"journal-article","created":{"date-parts":[[2018,3,15]],"date-time":"2018-03-15T05:06:43Z","timestamp":1521090403000},"page":"456","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A Unified Algorithm for Channel Imbalance and Antenna Phase Center Position Calibration of a Single-Pass Multi-Baseline TomoSAR System"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0688-5538","authenticated-orcid":false,"given":"Yuncheng","family":"Bu","sequence":"first","affiliation":[{"name":"National Key Laboratory of Science and Technology on Microwave Imaging, Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}]},{"given":"Xingdong","family":"Liang","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Microwave Imaging, Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8528-3227","authenticated-orcid":false,"given":"Yu","family":"Wang","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Microwave Imaging, Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China"}]},{"given":"Fubo","family":"Zhang","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Microwave Imaging, Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China"}]},{"given":"Yanlei","family":"Li","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Microwave Imaging, Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China"}]}],"member":"1968","published-online":{"date-parts":[[2018,3,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"702","DOI":"10.1109\/TGRS.2005.843567","article-title":"Three-dimensional multipass SAR focusing: Experiments with long-term spaceborne data","volume":"43","author":"Fornaro","year":"2005","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2142","DOI":"10.1109\/36.868873","article-title":"First demonstration of airborne SAR tomography using multibaseline L-band data","volume":"38","author":"Reigber","year":"2000","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1109\/LGRS.2012.2204230","article-title":"Compressive sensing based layover separation in airborne single-pass multi-baseline InSAR data","volume":"10","author":"Schmitt","year":"2013","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1109\/TGRS.2011.2160183","article-title":"Super-Resolution Power and Robustness of Compressive Sensing for Spectral Estimation With Application to Spaceborne Tomographic SAR","volume":"50","author":"Zhu","year":"2012","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1145","DOI":"10.1049\/iet-rsn.2013.0378","article-title":"Maximum-likelihood-based approach for single-pass synthetic aperture radar tomography over urban areas","volume":"8","author":"Schmitt","year":"2014","journal-title":"IET Radar Sonar Navig."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Urasawa, F., Yamada, H., Yamaguchi, Y., and Sato, R. (2016, January 21\u201325). Fundamental study on multi-baseline SAR tomography by Pi-SAR-L2. Proceedings of the URSI Asia-Pacific Radio Science Conference (URSI AP-RASC), Seoul, Korea.","DOI":"10.1109\/URSIAP-RASC.2016.7601342"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"5884","DOI":"10.3390\/s8095884","article-title":"Tomographic imaging of a forested area by airborne multi-baseline P-band SAR","volume":"8","author":"Frey","year":"2008","journal-title":"Sensors"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/j.rse.2015.05.012","article-title":"Reconstruction of individual trees from multi-aspect TomoSAR data","volume":"165","author":"Schmitt","year":"2015","journal-title":"Remote Sens. Environ."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1109\/MSP.2014.2312098","article-title":"Superresolving SAR tomography for multidimensional imaging of urban areas: Compressive sensing-based TomoSAR inversion","volume":"31","author":"Zhu","year":"2014","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"3150","DOI":"10.1109\/TGRS.2011.2177843","article-title":"Demonstration of Super-Resolution for Tomographic SAR Imaging in Urban Environment","volume":"50","author":"Zhu","year":"2012","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1775","DOI":"10.1109\/TGRS.2015.2488358","article-title":"Phase Calibration of Airborne Tomographic SAR Data via Phase Center Double Localization","volume":"54","author":"Tebaldini","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2953","DOI":"10.1109\/TGRS.2010.2043738","article-title":"On the Role of Phase Stability in SAR Multibaseline Applications","volume":"48","author":"Tebaldini","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Pardini, M., Papathanassiou, K., Bianco, V., and Iodice, A. (2012, January 22\u201327). Phase calibration of multibaseline SAR data based on a minimum entropy criterion. Proceedings of the Geoscience and Remote Sensing Symposium, Munich, Germany.","DOI":"10.1109\/IGARSS.2012.6352438"},{"key":"ref_14","unstructured":"Gocho, M., Yamada, H., Arii, M., Sato, R., Yamaguchi, Y., and Kojima, S. (2016, January 24\u201328). Verification of simple calibration method for multi-baseline SAR tomography. Proceedings of the 2016 International Symposium on Antennas and Propagation (ISAP), Okinawa, Japan."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Tebaldini, S., Rocca, F., D\u2019Alessandro, M.M., and Ferro-Famil, L. (2016, January 10\u201315). Point-target free phase calibration of InSAR data stacks. Proceedings of the 2016 IEEE International Geoscience and Remote Sensing Symposium, Beijing, China.","DOI":"10.1109\/IGARSS.2016.7729368"},{"key":"ref_16","unstructured":"Zhu, H. (2012). Study on Phase Center Calibration Methods of Linear Array Downward-Looking 3D-SAR. [Master\u2019s Thesis, University of Chinese Academy of Sciences]."},{"key":"ref_17","unstructured":"Han, K. (2011). Study on Multi-Channel Amplitude-Phase Errors Calibration and Imaging Methods of Downward-Looking 3D-SAR Based on Array Antennas. [Master\u2019s Thesis, University of Chinese Academy of Sciences]."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"409","DOI":"10.3724\/SP.J.1300.2014.14037","article-title":"Amplitude and Phase Errors Correction for Array 3D SAR System Based on Single Prominent Point Like Target Echo Data","volume":"3","author":"Yang","year":"2014","journal-title":"J. Radars"},{"key":"ref_19","unstructured":"Wang, Y. (2003). Studies on Calibration Model and Algorighm for Airborne Interferoemtric SAR. [Ph.D. Thesis, University of Chinese Academy of Sciences]."},{"key":"ref_20","unstructured":"Zhang, F. (2015). Research on Signal Processing of 3-D reconstruction in Linear Array Synthetic Aperture Radar Interferometry. [Ph.D. Thesis, University of Chinese Academy of Sciences]."},{"key":"ref_21","unstructured":"Li, H., Ding, C., Zhang, F., Liang, X., and Wu, Y. (2017). A novel 3-D reconstruction approach based on group-sparsity of array InSAR. Sci. Sinica Inform."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"827","DOI":"10.1109\/8.509886","article-title":"Sensor-array calibration using a maximum-likelihood approach","volume":"44","author":"Ng","year":"1996","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1109\/TASSP.1987.1165144","article-title":"Array shape calibration using sources in unknown locations\u2014Part I: Far-field sources","volume":"35","author":"Rockah","year":"1987","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"724","DOI":"10.1109\/TASSP.1987.1165222","article-title":"Array shape calibration using sources in unknown locations\u2014Part II: Near-field sources and estimator implementation","volume":"35","author":"Rockah","year":"1987","journal-title":"IEEE Trans. Acoust. Speech Signal Process."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/10\/3\/456\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T14:57:01Z","timestamp":1760194621000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/10\/3\/456"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,14]]},"references-count":24,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2018,3]]}},"alternative-id":["rs10030456"],"URL":"https:\/\/doi.org\/10.3390\/rs10030456","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2018,3,14]]}}}