{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T16:48:41Z","timestamp":1765039721195,"version":"build-2065373602"},"reference-count":40,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2024,5,13]],"date-time":"2024-05-13T00:00:00Z","timestamp":1715558400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["62001229","62101260","62101264","BK20210334","BK20230915","2020M681604","2020Z441"],"award-info":[{"award-number":["62001229","62101260","62101264","BK20210334","BK20230915","2020M681604","2020Z441"]}]},{"name":"Nature Science Foundation of Jiangsu Province","award":["62001229","62101260","62101264","BK20210334","BK20230915","2020M681604","2020Z441"],"award-info":[{"award-number":["62001229","62101260","62101264","BK20210334","BK20230915","2020M681604","2020Z441"]}]},{"name":"China Postdoctoral Science Foundation","award":["62001229","62101260","62101264","BK20210334","BK20230915","2020M681604","2020Z441"],"award-info":[{"award-number":["62001229","62101260","62101264","BK20210334","BK20230915","2020M681604","2020Z441"]}]},{"name":"Jiangsu Province Postdoctoral Science Foundation","award":["62001229","62101260","62101264","BK20210334","BK20230915","2020M681604","2020Z441"],"award-info":[{"award-number":["62001229","62101260","62101264","BK20210334","BK20230915","2020M681604","2020Z441"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In synthetic aperture radar (SAR) signal processing, compared with the raw data of level-0, level-1 SAR images are more readily accessible and available in larger quantities. However, an amount of level-1 images are affected by radio frequency interference (RFI), which typically originates from Linear Frequency Modulation (LFM) signals emitted by ground-based radars. Existing research on interference suppression in level-1 data has primarily focused on two methods: transforming SAR images into simulated echo data for interference suppression, or focusing interference in the frequency domain and applying notching filters to reduce interference energy. However, these methods overlook the effective utilization of the interference parameters or are confined to suppressing only one type of LFM interference at a time. In certain SAR images, multiple types of LFM interference manifest bright radiation artifacts that exhibit varying lengths along the range direction while remaining constant in the azimuth direction. It is necessary to suppress multiple LFM interference on SAR images when original echo data are unavailable. This article proposes a joint sparse recovery algorithm for interference suppression in the SAR image domain. In the SAR image domain, two-dimensional LFM interference typically exhibits differences in parameters such as frequency modulation rate and pulse width in the range direction, while maintaining consistency in the azimuth direction. Based on this observation, this article constructs a series of focusing operators for LFM interference in SAR images. These operators enable the sparse representation of dispersed LFM interference. Subsequently, an optimization model is developed that can effectively suppress multi-LFM interference and reduce image loss with the assistance of a regularization term in the image domain. Simulation experiments conducted in various scenarios validate the superior performance of the proposed method.<\/jats:p>","DOI":"10.3390\/s24103095","type":"journal-article","created":{"date-parts":[[2024,5,13]],"date-time":"2024-05-13T11:18:17Z","timestamp":1715599097000},"page":"3095","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Sparse Recovery Algorithm for Suppressing Multiple Linear Frequency Modulation Interference in the Synthetic Aperture Radar Image Domain"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-5578-5173","authenticated-orcid":false,"given":"Guanqi","family":"Tong","sequence":"first","affiliation":[{"name":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}]},{"given":"Xingyu","family":"Lu","sequence":"additional","affiliation":[{"name":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}]},{"given":"Jianchao","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}]},{"given":"Wenchao","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}]},{"given":"Hong","family":"Gu","sequence":"additional","affiliation":[{"name":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}]},{"given":"Weimin","family":"Su","sequence":"additional","affiliation":[{"name":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,13]]},"reference":[{"key":"ref_1","unstructured":"Carrara, W.G., Goodman, R.S., and Majewski, R.M. (1995). Spotlight Synthetic Aperture Radar: Signal Processing Algorithms, Artech House."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2752","DOI":"10.1109\/IGARSS.2005.1525637","article-title":"L-band radio interferences observed by the JERS-1 SAR and its global distribution","volume":"Volume 4","author":"Shimada","year":"2005","journal-title":"Proceedings of the 2005 IEEE International Geoscience and Remote Sensing Symposium, 2005. IGARSS\u201905"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Rosen, P.A., Hensley, S., and Le, C. (2008, January 26\u201330). Observations and mitigation of RFI in ALOS PALSAR SAR data: Implications for the DESDynI mission. Proceedings of the 2008 IEEE Radar Conference, Rome, Italy.","DOI":"10.1109\/RADAR.2008.4720738"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"3476","DOI":"10.1109\/JSTARS.2015.2431916","article-title":"Research on Methods for Narrow-Band Interference Suppression in Synthetic Aperture Radar Data","volume":"8","author":"Zhou","year":"2015","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1189","DOI":"10.1016\/j.cja.2015.06.018","article-title":"Detection and suppression of narrow band RFI for synthetic aperture radar imaging","volume":"28","author":"Yang","year":"2015","journal-title":"Chin. J. Aeronaut."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1109\/JPROC.2014.2365517","article-title":"Radar Spectrum Engineering and Management: Technical and Regulatory Issues","volume":"103","author":"Griffiths","year":"2015","journal-title":"Proc. IEEE"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Tao, M., Su, J., Huang, Y., and Wang, L. (2019). Mitigation of Radio Frequency Interference in Synthetic Aperture Radar Data: Current Status and Future Trends. Remote Sens., 11.","DOI":"10.3390\/rs11202438"},{"key":"ref_8","first-page":"5231917","article-title":"Simultaneous Screening and Detection of RFI From Massive SAR Images: A Case Study on European Sentinel-1","volume":"60","author":"Li","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_9","first-page":"5112819","article-title":"Observation and Mitigation of Mutual RFI Between SAR Satellites: A Case Study Between Chinese GaoFen-3 and European Sentinel-1A","volume":"60","author":"Li","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_10","unstructured":"Ulug, B. (1992). An Algorithm for Sinusoidal Interference Reduction Using Iterative Maximum Likelihood Estimation Techniques. [Ph.D. Thesis, Ohio State University]."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"694","DOI":"10.1109\/LGRS.2010.2045633","article-title":"RFI suppression in ultrawideband SAR using an adaptive line enhancer","volume":"7","author":"Vu","year":"2010","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1049\/el:19990437","article-title":"Efficient RFI suppression in SAR using LMS adaptive filter integrated with range\/Doppler algorithm","volume":"35","author":"Lord","year":"1999","journal-title":"Electron. Lett.-IEE"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"5217414","DOI":"10.1109\/TGRS.2023.3321087","article-title":"An Radio Frequency Interference Mitigation Approach for Spaceborne SAR System in Low SINR Condition","volume":"61","author":"Mao","year":"2023","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1109\/TGRS.2018.2853556","article-title":"Fast Narrowband RFI Suppression Algorithms for SAR Systems via Matrix-Factorization Techniques","volume":"57","author":"Huang","year":"2019","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1302","DOI":"10.1109\/TGRS.2020.3003054","article-title":"Enhanced LRR-Based RFI Suppression for SAR Imaging Using the Common Sparsity of Range Profiles for Accurate Signal Recovery","volume":"59","author":"Lu","year":"2021","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2748","DOI":"10.1109\/TGRS.2017.2782682","article-title":"Narrowband RFI suppression for SAR system via fast implementation of joint sparsity and low-rank property","volume":"56","author":"Huang","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Nguyen, L.H., and Tran, T.D. (2017, January 8\u201312). Interference separation for UWB radar signals from entropy-driven robust PCA. Proceedings of the 2017 IEEE Radar Conference (RadarConf), Seattle, WA, USA.","DOI":"10.1109\/RADAR.2017.7944233"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Nguyen, L.H., and Tran, T.D. (2016, January 2\u20136). RFI-radar signal separation via simultaneous low-rank and sparse recovery. Proceedings of the 2016 IEEE Radar Conference (RadarConf), Philadelphia, PA, USA.","DOI":"10.1109\/RADAR.2016.7485213"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"3311","DOI":"10.1109\/TGRS.2018.2797946","article-title":"Narrowband RFI suppression for SAR system via efficient parameter-free decomposition algorithm","volume":"56","author":"Huang","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"3105","DOI":"10.1109\/TGRS.2018.2880758","article-title":"RFI mitigation for UWB radar via hyperparameter-free sparse SPICE methods","volume":"57","author":"Ren","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"4835","DOI":"10.1109\/JSTARS.2018.2875798","article-title":"Radio frequency interference suppression for SAR via block sparse Bayesian learning","volume":"11","author":"Lu","year":"2018","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1542","DOI":"10.1109\/LGRS.2017.2721425","article-title":"Joint wideband interference suppression and SAR signal recovery based on sparse representations","volume":"14","author":"Liu","year":"2017","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Nguyen, L.H., Dao, M.D., and Tran, T.D. (2014, January 2\u20135). Joint sparse and low-rank model for radio-frequency interference suppression in ultra-wideband radar applications. Proceedings of the 2014 48th Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA.","DOI":"10.1109\/ACSSC.2014.7094574"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"777","DOI":"10.1109\/JSTARS.2017.2787650","article-title":"Methods to Remove the Border Noise From Sentinel-1 Synthetic Aperture Radar Data: Implications and Importance For Time-Series Analysis","volume":"11","author":"Ali","year":"2018","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/S0034-4257(02)00114-1","article-title":"An evaluation of LIDAR- and IFSAR-derived digital elevation models in leaf-on conditions with USGS Level 1 and Level 2 DEMs","volume":"84","author":"Hodgson","year":"2003","journal-title":"Remote Sens. Environ."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Filipponi, F. (2019). Sentinel-1 GRD Preprocessing Workflow. Proceedings, 18.","DOI":"10.3390\/ECRS-3-06201"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Chojka, A., Artiemjew, P., and Rapi\u0144ski, J. (2020). RFI Artefacts Detection in Sentinel-1 Level-1 SLC Data Based On Image Processing Techniques. Sensors, 20.","DOI":"10.3390\/s20102919"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1396","DOI":"10.1109\/36.718844","article-title":"Toward consistent regional-to-global-scale vegetation characterization using orbital SAR systems","volume":"36","author":"Kellndorfer","year":"1998","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"5217211","DOI":"10.1109\/TGRS.2021.3126485","article-title":"Extraction and Mitigation of Radio Frequency Interference Artifacts Based on Time-Series Sentinel-1 SAR Data","volume":"60","author":"Tao","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1109\/LGRS.2004.838419","article-title":"Interference suppression in synthesized SAR images","volume":"2","author":"Reigber","year":"2005","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"8470","DOI":"10.1109\/TGRS.2020.3036635","article-title":"On the mutual interference between spaceborne SARs: Modeling, characterization, and mitigation","volume":"59","author":"Yang","year":"2020","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_32","first-page":"5219016","article-title":"Two-dimensional spectral analysis filter for removal of LFM radar interference in spaceborne SAR imagery","volume":"60","author":"Yang","year":"2021","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_33","first-page":"108","article-title":"Digital processing of synthetic aperture radar data","volume":"1","author":"Cumming","year":"2005","journal-title":"Artech House"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1109\/MGRS.2023.3329928","article-title":"Evolutionary Developments of Today\u2019s Remote Sensing Radar Technology\u2014Right From the Telemobiloscope: A review","volume":"12","author":"Kari","year":"2023","journal-title":"IEEE Geosci. Remote Sens. Mag."},{"key":"ref_35","first-page":"3332035","article-title":"Clutter Suppression for Radar via Deep Joint Sparse Recovery Network","volume":"21","author":"Zhang","year":"2024","journal-title":"IEEE Geoscience and Remote Sensing Letters"},{"key":"ref_36","unstructured":"Sturmel, N., and Daudet, L. (2011, January 19\u201323). Signal reconstruction from STFT magnitude: A state of the art. Proceedings of the International Conference on Digital Audio Effects (DAFx), Paris, France."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1154","DOI":"10.1109\/TASLP.2017.2678166","article-title":"A Noniterative Method for Reconstruction of Phase From STFT Magnitude","volume":"25","author":"Balazs","year":"2017","journal-title":"IEEE\/ACM Trans. Audio Speech Lang. Process."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1610","DOI":"10.1109\/JSTSP.2015.2465310","article-title":"Low Computational Enhancement of STFT-Based Parameter Estimation","volume":"9","author":"Kim","year":"2015","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"5102813","DOI":"10.1109\/TGRS.2021.3097977","article-title":"Accurate SAR Image Recovery From RFI Contaminated Raw Data by Using Image Domain Mixed Regularizations","volume":"60","author":"Lu","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Cetin, M., Karl, W.C., and Castanon, D.A. (2000, January 24\u201328). Evaluation of a regularized SAR imaging technique based on recognition-oriented features. Proceedings of the Algorithms for Synthetic Aperture Radar Imagery VII. SPIE, Orlando, FL, USA.","DOI":"10.1117\/12.396369"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/10\/3095\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:41:45Z","timestamp":1760107305000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/10\/3095"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,5,13]]},"references-count":40,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2024,5]]}},"alternative-id":["s24103095"],"URL":"https:\/\/doi.org\/10.3390\/s24103095","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2024,5,13]]}}}