{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T00:55:13Z","timestamp":1760230513492,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"15","license":[{"start":{"date-parts":[[2022,7,27]],"date-time":"2022-07-27T00:00:00Z","timestamp":1658880000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Key Program of the National Natural Science Foundation of China","award":["11833001","61931002"],"award-info":[{"award-number":["11833001","61931002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Distributed synthetic aperture radar (SAR) is a system in which transmitting or receiving arrays are distributed on multiple platforms or at different locations on one platform. Distributed SAR can be used for high-resolution wide-swath (HRWS) imaging. The typical platform used for distributed SAR is a satellite constellation, which has long baselines and an ideal trajectory. Instead of satellite constellations, this paper focuses on distributed SAR on a single airborne platform, for which the channel error and motion error are coupled. Furthermore, the traditional channel error estimation methods are invalid. Thus, based on the time-domain correlation method (TDCM), this article proposes a joint estimation method of the channel phase error and motion error for the distributed SAR on a single airborne platform. Firstly, a channel error and motion error coupled phase error model of the distributed SAR is constructed. A joint estimation method of the channel phase error and motion error is then proposed. Finally, a simulation and real data processing are provided to demonstrate the effectiveness of the proposed method.<\/jats:p>","DOI":"10.3390\/rs14153598","type":"journal-article","created":{"date-parts":[[2022,7,28]],"date-time":"2022-07-28T03:21:16Z","timestamp":1658978476000},"page":"3598","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Joint Estimation Method of the Channel Phase Error and Motion Error for Distributed SAR on a Single Airborne Platform Based on a Time-Domain Correlation Method"],"prefix":"10.3390","volume":"14","author":[{"given":"Chi","family":"Zhang","sequence":"first","affiliation":[{"name":"Radar Research Laboratory, School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"China Satellite Network Innovation Co., Ltd., Beijing 100029, China"}]},{"given":"Han","family":"Li","sequence":"additional","affiliation":[{"name":"Radar Research Laboratory, School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China"}]},{"given":"Linghao","family":"Li","sequence":"additional","affiliation":[{"name":"Radar Research Laboratory, School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"Chongqing Key Laboratory of Novel Civilian Radar, Chongqing 401120, China"}]},{"given":"Shujiang","family":"Liu","sequence":"additional","affiliation":[{"name":"Radar Research Laboratory, School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"Chongqing Key Laboratory of Novel Civilian Radar, Chongqing 401120, China"}]},{"given":"Zegang","family":"Ding","sequence":"additional","affiliation":[{"name":"Radar Research Laboratory, School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"Chongqing Key Laboratory of Novel Civilian Radar, Chongqing 401120, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,27]]},"reference":[{"key":"ref_1","unstructured":"Gebert, N. (2009). Multi-Channel Azimuth Processing for High-Resolution Wide-Swath SAR Imaging, DLR (German Aerospace Center)."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"715","DOI":"10.1109\/TGRS.2017.2754098","article-title":"An Extended Moving Target Detection Approach for High-Resolution Multichannel SAR-GMTI Systems Based on Enhanced Shadow-Aided Decision","volume":"56","author":"Xu","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"4972","DOI":"10.1109\/TGRS.2017.2697843","article-title":"A Theoretical Study of Velocity SAR Imaging of a Moving, Nonstationary Scene","volume":"55","author":"Toporkov","year":"2017","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1049\/ip-f-2.1992.0016","article-title":"Wide-swath SAR","volume":"139","author":"Currie","year":"1992","journal-title":"IEE Proc. F Radar Signal Process."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1626","DOI":"10.1109\/TGRS.2017.2765761","article-title":"Parisar: Patch-based estimation and regularized inversion for multibaseline SAR interferometry","volume":"56","author":"Ferraioli","year":"2017","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_6","unstructured":"Krieger, G., Fiedler, H., and Moreira, A. (2004, January 25\u201327). Bi-and multistatic SAR: Potentials and challenges. Proceedings of the European Conference on Synthetic Aperture Radar (EUSAR), Ulm, Germany."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1049\/ip-rsn:20045111","article-title":"Spaceborne bi-and multistatic SAR: Potential and challenges","volume":"153","author":"Krieger","year":"2006","journal-title":"IEE Proc. Radar Sonar Navig."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"506","DOI":"10.1109\/36.911109","article-title":"Capabilities and limitations of the interferometric cartwheel","volume":"39","author":"Massonnet","year":"2001","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_9","unstructured":"Moccia, A., Rufino, G., D\u2019Errico, M., Alberti, G., and Salzillo, G. (2002, January 24\u201328). BISSAT: A bistatic SAR for earth observation. Proceedings of the IEEE International Geoscience and Remote Sensing Symposium, Toronto, ON, Canada."},{"key":"ref_10","unstructured":"Moreira, A., Krieger, G., Hajnsek, I., Hounam, D., Werner, M., Riegger, S., and Settelmeyer, E. (2004, January 20\u201324). TanDEM-X: A TerraSAR-X add-on satellite for single-pass SAR interferometry. Proceedings of the IGARSS 2004 IEEE International Geoscience and Remote Sensing Symposium, Anchorage, AK, USA."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1731","DOI":"10.1109\/LGRS.2019.2907371","article-title":"Spaceborne demonstration of distributed SAR imaging with TerraSAR-X and TanDEM-X","volume":"16","author":"Kraus","year":"2019","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_12","first-page":"1252","article-title":"TH-2 satellite engineering design and implementation","volume":"49","author":"Lou","year":"2020","journal-title":"Acta Geod. Cartogr. Sin."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1109\/TAES.2006.1642562","article-title":"Performance improvement for constellation SAR using signal processing techniques","volume":"42","author":"Li","year":"2006","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"731","DOI":"10.1109\/LGRS.2010.2046878","article-title":"An array error estimation method for constellation SAR systems","volume":"7","author":"Liu","year":"2010","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1109\/LGRS.2011.2161262","article-title":"An improved array-error estimation method for constellation SAR systems","volume":"9","author":"Liu","year":"2011","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"5294","DOI":"10.1109\/TIP.2013.2274387","article-title":"A robust channel-calibration algorithm for multi-channel in azimuth HRWS SAR imaging based on local maximum-likelihood weighted minimum entropy","volume":"22","author":"Zhang","year":"2013","journal-title":"IEEE Trans. Image Process."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Kraus, T., Bachmann, M., Heiderich, L., Krieger, G., and Moreira, A. (2017, January 23\u201326). Multistatic SAR imaging: Comparison of simulation results and experimental data. Proceedings of the International Conference on Radar Systems (Radar 2017), Belfast, UK.","DOI":"10.1049\/cp.2017.0492"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"564","DOI":"10.1109\/TAES.2009.5089542","article-title":"Digital beamforming on receive: Techniques and optimization strategies for high-resolution wide-swath SAR imaging","volume":"45","author":"Gebert","year":"2009","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1109\/36.823926","article-title":"The \u201cMyth\u201d of the minimum SAR antenna area constraint","volume":"38","author":"Freeman","year":"2000","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1109\/LGRS.2004.832700","article-title":"Unambiguous SAR signal reconstruction from nonuniform displaced phase center sampling","volume":"1","author":"Krieger","year":"2004","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_21","first-page":"5034","article-title":"MIMO SAR processing for multichannel high-resolution wide-swath radars","volume":"52","author":"Sikaneta","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"6095","DOI":"10.1109\/TGRS.2013.2294940","article-title":"Optimum signal processing for multichannel SAR: With application to high-resolution wide-swath imaging","volume":"52","author":"Sikaneta","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"4306","DOI":"10.1109\/TGRS.2013.2281329","article-title":"Multichannel HRWS SAR imaging based on range-variant channel calibration and multi-Doppler-direction restriction ambiguity suppression","volume":"52","author":"Zhang","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_24","first-page":"900","article-title":"Information capacity and sampling ratios for compressed sensing-based SAR imaging","volume":"12","author":"Guo","year":"2014","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2822","DOI":"10.3390\/s140202822","article-title":"Energy-efficient sensing in wireless sensor networks using compressed sensing","volume":"14","author":"Razzaque","year":"2014","journal-title":"Sensors"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Rostami, M., Cheung, N.-M., and Quek, T.Q.S. (2013, January 26\u201331). Compressed sensing of diffusion fields under heat equation constraint. Proceedings of the 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, Vancouver, BC, Canada.","DOI":"10.1109\/ICASSP.2013.6638465"},{"key":"ref_27","unstructured":"Kraus, T., Br\u00e4utigam, B., Bachmann, M., and Krieger, G. (2016, January 6\u20139). Multistatic SAR imaging: First results of a four phase center experiment with TerraSAR-X and TanDEM-X. Proceedings of the EUSAR 2016: 11th European Conference on Synthetic Aperture Radar, Hamburg, Germany."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Rodriguez-Cassola, M., Prats-Iraola, P., Steinbrecher, U., Schulze, D., Krieger, G., Reigber, A., and Moreira, A. (2013, January 21\u201326). Cross-platform spaceborne SAR imaging: Demonstration using TanDEM-X. Proceedings of the 2013 IEEE International Geoscience and Remote Sensing Symposium-IGARSS, Melbourne, VIC, Australia.","DOI":"10.1109\/IGARSS.2013.6723447"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1403","DOI":"10.1109\/LGRS.2017.2715189","article-title":"An InSAR fine registration algorithm using uniform tie points based on Voronoi diagram","volume":"14","author":"Fang","year":"2017","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1002","DOI":"10.1109\/LGRS.2017.2691398","article-title":"Coregistration of interferometric stacks of Sentinel-1 TOPS data","volume":"14","year":"2017","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"2127","DOI":"10.1109\/TGRS.2005.853187","article-title":"An automatic image registration for applications in remote sensing","volume":"43","author":"Bentoutou","year":"2005","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1049\/el.2017.4085","article-title":"Improved channel mismatch estimation for multi-channel HRWS SAR based on azimuth cross-correlation","volume":"54","author":"Fang","year":"2018","journal-title":"Electron. Lett."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1109\/LGRS.2013.2264771","article-title":"An adaptively weighted least square estimation method of channel mismatches in phase for multichannel SAR systems in azimuth","volume":"11","author":"Liu","year":"2013","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Yang, T., Li, Z., Liu, Y., Suo, Z., and Bao, Z. (2013, January 21\u201326). Channel error estimation methods for multi-channel HRWS SAR systems. Proceedings of the 2013 IEEE International Geoscience and Remote Sensing Symposium-IGARSS, Melbourne, VIC, Australia.","DOI":"10.1109\/IGARSS.2013.6723837"},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Liu, Y.-Y., Li, Z.-F., Suo, Z.-Y., and Bao, Z. (2013, January 14\u201316). A novel channel phase bias estimation method for spaceborne along-track multi-channel HRWS SAR in time-domain. Proceedings of the IET International Radar Conference 2013, Xi\u2019an, China.","DOI":"10.3724\/SP.J.1146.2012.00562"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"2050","DOI":"10.1109\/LGRS.2014.2318511","article-title":"On the baseband Doppler centroid estimation for multichannel HRWS SAR imaging","volume":"11","author":"Liu","year":"2014","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1109\/TGRS.2012.2201947","article-title":"First Spaceborne Demonstration of Digital Beamforming for Azimuth Ambiguity Suppression","volume":"51","author":"Kim","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/15\/3598\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:57:48Z","timestamp":1760140668000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/15\/3598"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,27]]},"references-count":37,"journal-issue":{"issue":"15","published-online":{"date-parts":[[2022,8]]}},"alternative-id":["rs14153598"],"URL":"https:\/\/doi.org\/10.3390\/rs14153598","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2022,7,27]]}}}