{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:53:21Z","timestamp":1760241201720,"version":"build-2065373602"},"reference-count":20,"publisher":"MDPI AG","issue":"24","license":[{"start":{"date-parts":[[2019,12,9]],"date-time":"2019-12-09T00:00:00Z","timestamp":1575849600000},"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>Aiming at the imaging algorithm of high-pulse-repetition random-frequency-hopping synthetic wideband radar on a supersonic\/hypersonic aircraft platform, this study established an echo simulation model of target and clutter, analyzed the special range-Doppler coupling effect and its influence on imaging, and proposes a method of imaging with pipeline-parallel processing based on generalized 2D matched-filtering and Doppler pre-processing. In the method, Doppler-beam-sharpening was advanced to be performed with the pulse compression process in each frame, and the special range-Doppler coupling effect caused by high dynamic motion of platform and random frequency hopping in bandwidth synthesis was well suppressed; several modes of random frequency hopping were designed and the pipeline-parallel image processing algorithm was optimized for each mode. Theoretical analysis and simulation results show that the proposed imaging method can effectively avoid the divergence of 2D range-Doppler images in the range direction, and can meet the requirements of real-time imaging.<\/jats:p>","DOI":"10.3390\/s19245424","type":"journal-article","created":{"date-parts":[[2019,12,9]],"date-time":"2019-12-09T11:22:51Z","timestamp":1575890571000},"page":"5424","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Research of a Radar Imaging Algorithm Based on High Pulse Repetition Random Frequency Hopping Synthetic Wideband Waveform"],"prefix":"10.3390","volume":"19","author":[{"given":"Songhua","family":"He","sequence":"first","affiliation":[{"name":"School of Information Science and Engineering, Hunan University, Changsha 410082, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaotian","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Hunan University, Changsha 410082, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,9]]},"reference":[{"key":"ref_1","unstructured":"Liu, D. (2012). Research on the Correlation Technology of High Repetition Random Sequence Stepped Frequency Conversion Radar. [Master\u2019s Thesis, Hunan University]."},{"key":"ref_2","unstructured":"Liao, Z. (2018). Research on Waveform Design and Imaging Method of Random Frequency Hopping Radar. [Ph.D. Thesis, National University of Defense Technology]."},{"key":"ref_3","unstructured":"Zheng, L., and Zhang, S. (2000, January 12). A Novel Method of Translational Motion Compensation for Hopped-Frequency ISAR Imaging. Proceedings of the Record of the IEEE 2000 International Radar Conference, Alexandria, VA, USA."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1049\/el:20092830","article-title":"Experimental Results on ISAR Imaging with Stepped-Frequency Waveforms","volume":"45","author":"Gao","year":"2009","journal-title":"Electron. Lett."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2101","DOI":"10.1109\/TAES.2017.2667887","article-title":"A Coherent Integration Method via Radon-NUFrFT for Random PRI Radar","volume":"54","author":"Tian","year":"2017","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/75.650975","article-title":"An Accurate Algorithm for Nonuniform Fast Fourier Transforms (NUFFT\u2019s)","volume":"8","author":"Liu","year":"2002","journal-title":"IEEE Microw. Guided Wave Lett."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"814","DOI":"10.1109\/LAWP.2010.2069550","article-title":"Two-Dimensional NUFFT-Based Algorithm for Fast Near-Field Imaging","volume":"9","author":"Li","year":"2010","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1109\/LSP.2012.2207452","article-title":"A Family of Fast Hadamard-Fourier Transform Algorithms","volume":"19","author":"Su","year":"2012","journal-title":"IEEE Signal Process. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Salishev, S.I. (2018, January 4\u201315). Regular Mixed-Radix DFT Matrix Factorization for Inplace FFT Accelerators. Proceedings of the 2018 Systems of Signals Generating and Processing in the Field of on Board Communications, Moscow, Russia.","DOI":"10.1109\/SOSG.2018.8350632"},{"key":"ref_10","unstructured":"Fessler, J.A., and Sutton, B.P. (2001, January 7\u201310). A Min-Max Approach to the Multidimensional Nonuniform FFT: Application to Tomographic Image Reconstruction. Proceedings of the International Conference on Image Processing, Thessaloniki, Greece."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"560","DOI":"10.1109\/TSP.2002.807005","article-title":"Nonuniform Fast Fourier Transforms Using Min-Max Interpolation","volume":"51","author":"Fessler","year":"2003","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1109\/TIT.2005.862083","article-title":"Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information","volume":"52","author":"Candes","year":"2006","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2275","DOI":"10.1109\/TSP.2009.2014277","article-title":"High-Resolution Radar via Compressed Sensing","volume":"57","author":"Herman","year":"2009","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","article-title":"Compressed Sensing","volume":"52","author":"Donoho","year":"2006","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_15","unstructured":"Liu, Z. (2013). Research on Signal Processing Method and Application of Random Modulation Radar Based on Compressed Sensing. [Ph.D. Thesis, National University of Defense Technology]."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1032","DOI":"10.1049\/el:20081608","article-title":"Range-Velocity Estimation of Multiple Targets in Randomized Stepped-Frequency Radar","volume":"44","author":"Liu","year":"2008","journal-title":"Electron. Lett."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"858","DOI":"10.1109\/TAES.2013.120443","article-title":"Cognitive Random Stepped Frequency Radar with Sparse Recovery","volume":"50","author":"Huang","year":"2014","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"702","DOI":"10.1007\/s11771-013-1538-3","article-title":"Low Sidelobe Robust Imaging in Random Frequency Hopping Wideband Radar Based on Compressed Sensing","volume":"20","author":"Liu","year":"2013","journal-title":"J. Cent. South Univ."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"983","DOI":"10.1109\/TGRS.2012.2204891","article-title":"Random-Frequency SAR Imaging Based on Compressed Sensing","volume":"51","author":"Yang","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1425","DOI":"10.1049\/iet-rsn.2017.0081","article-title":"ISAR Geometry, Signal Model, and Image Processing Algorithms","volume":"11","author":"Lazarov","year":"2017","journal-title":"IET Radar Sonar Navig."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/24\/5424\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:40:44Z","timestamp":1760190044000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/24\/5424"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12,9]]},"references-count":20,"journal-issue":{"issue":"24","published-online":{"date-parts":[[2019,12]]}},"alternative-id":["s19245424"],"URL":"https:\/\/doi.org\/10.3390\/s19245424","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2019,12,9]]}}}