{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T12:56:48Z","timestamp":1772542608453,"version":"3.50.1"},"reference-count":29,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2023,10,3]],"date-time":"2023-10-03T00:00:00Z","timestamp":1696291200000},"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>Approaching space target tracking is a typical and challenging mission in the space situational awareness (SSA) field. As the space-based radar is able to monitor the space targets of interest full-weather all-time, the space-based radar system is utilized in this paper. However, most multi-target tracking (MTT) filters in target tracking studies merely utilize the location or narrow measurements, and many potentially valuable electromagnetic scattering characteristics are missed, which leads to space target false tracking problems. The space-based radar transmits a wide-band signal, and the measured high-resolution range profile (HRRP) information is an effective characteristic for different target discrimination. Therefore, the HRRP characteristics of space targets are implemented into the update recursion of the MTT filter, which can be utilized to improve the tracking performance. Then, to predict the target HRRP sequence, the geometrical theory of diffraction (GTD) model is utilized. Additionally, a modified spatial spectrum method with a novel covariance matrix is designed to improve the scattering parameter estimation accuracy. Finally, an adapting threshold is devised for merging the Gaussian mixture (GM) components weights. The proposed threshold is on the basis of the proposed HRRP characteristic-aided probability hypothesis density (PHD) filter, and it can tackle the problem of space target discrimination. Simulation results validate the effectiveness and robustness of the proposed probability hypothesis density (HGI-PHD) filter aided by HRRP information and improved with GM weights.<\/jats:p>","DOI":"10.3390\/rs15194808","type":"journal-article","created":{"date-parts":[[2023,10,3]],"date-time":"2023-10-03T07:28:29Z","timestamp":1696318109000},"page":"4808","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Space Target Tracking with the HRRP Characteristic-Aided Filter via Space-Based Radar"],"prefix":"10.3390","volume":"15","author":[{"given":"Shuyu","family":"Zheng","sequence":"first","affiliation":[{"name":"National Key Laboratory of Science and Technology on Automatic Target Recognition, College of Electronic Science and Technology, National University of Defense Technology (NUDT), Changsha 410073, China"}]},{"given":"Libing","family":"Jiang","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Automatic Target Recognition, College of Electronic Science and Technology, National University of Defense Technology (NUDT), Changsha 410073, China"}]},{"given":"Qingwei","family":"Yang","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Automatic Target Recognition, College of Electronic Science and Technology, National University of Defense Technology (NUDT), Changsha 410073, China"}]},{"given":"Yingjian","family":"Zhao","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Automatic Target Recognition, College of Electronic Science and Technology, National University of Defense Technology (NUDT), Changsha 410073, China"}]},{"given":"Zhuang","family":"Wang","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Automatic Target Recognition, College of Electronic Science and Technology, National University of Defense Technology (NUDT), Changsha 410073, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,10,3]]},"reference":[{"key":"ref_1","first-page":"59","article-title":"Novel Multi-Object Filtering Approach for Space Situational Awareness","volume":"41","author":"Emmanuel","year":"2017","journal-title":"J. Guid. Control Dyn."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1205","DOI":"10.1109\/TGRS.2019.2944629","article-title":"ISAR imaging for low Earth-orbit target based on coherent integrated smoothed generalized cubic phase function","volume":"58","author":"Du","year":"2020","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1149","DOI":"10.1007\/s40295-022-00331-1","article-title":"Application of a randomized-finite set statistics technique (R-FISST) to space situational awareness","volume":"69","author":"Faber","year":"2022","journal-title":"J. Astronaut. Sci."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1016\/j.sigpro.2016.03.003","article-title":"Posterior Cramer-Rao lower bounds for complicated multi-target tracking with labeled FISST based filters","volume":"127","author":"Li","year":"2016","journal-title":"Signal Process."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1685","DOI":"10.1109\/TAES.2019.2921210","article-title":"Multiple target tracking based on sets of trajectories","volume":"56","author":"Svensson","year":"2020","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1152","DOI":"10.1109\/TAES.2003.1261119","article-title":"Multi-target Bayes filter via first-order multi-target moments","volume":"39","author":"Mahler","year":"2003","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"3553","DOI":"10.1109\/TSP.2007.894241","article-title":"Analytic implementations of the cardinalized probability hypothesis density filter","volume":"55","author":"Vo","year":"2007","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_8","first-page":"3784","article-title":"PHD and CPHD Filtering with Unknown Detection Probability","volume":"66","author":"Li","year":"2018","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_9","first-page":"5702","article-title":"Trajectory PHD and CPHD Filters","volume":"67","author":"Svensson","year":"2017","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1224","DOI":"10.1109\/TAES.2005.1561884","article-title":"Sequential Monte Carlo methods for multi-target filtering with random finite sets","volume":"41","author":"Vo","year":"2005","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"4091","DOI":"10.1109\/TSP.2006.881190","article-title":"The Gaussian mixture probability hypothesis density filter","volume":"54","author":"Vo","year":"2006","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1109\/TSP.2008.2007924","article-title":"The cardinality balanced multi-target multi-Bernoulli filter and its implementations","volume":"57","author":"Vo","year":"2009","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3460","DOI":"10.1109\/TSP.2013.2259822","article-title":"Labeled random finite sets and multi-object conjugate priors","volume":"61","author":"Vo","year":"2013","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"3246","DOI":"10.1109\/TSP.2014.2323064","article-title":"The labeled multiBernoulli filter","volume":"62","author":"Reuter","year":"2014","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1109\/78.890367","article-title":"Estimation of frequencies and damping factors by two-dimensional ESPRIT type methods","volume":"49","author":"Stephanie","year":"2001","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"5897","DOI":"10.1109\/TSP.2017.2736512","article-title":"Multidimensional ESPRIT for damped and undamped signals: Algorithm, computations, and perturbation analysis","volume":"65","author":"Souleymen","year":"2017","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"736","DOI":"10.1049\/iet-rsn.2016.0349","article-title":"Non-circular generalised-Esprit algorithm for direction of arrival estimation","volume":"11","author":"Zhang","year":"2017","journal-title":"IET Radar Sonar Navig."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1256","DOI":"10.1109\/LSP.2018.2851385","article-title":"A simple modification of Esprit","volume":"25","author":"Cheng","year":"2018","journal-title":"IEEE Signal Process. Lett."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"032001","DOI":"10.1088\/1742-6596\/1176\/3\/032001","article-title":"Research on DOA estimation method of sonar radar target based on Music algorithm","volume":"1176","author":"Zhang","year":"2019","journal-title":"J. Phys. Conf. Ser."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"49740","DOI":"10.1109\/ACCESS.2018.2867460","article-title":"Two-dimensional direction of arrival estimation for improved archimedean spiral array with MUSIC algorithm","volume":"6","author":"Chen","year":"2018","journal-title":"IEEE Access"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"4836","DOI":"10.1109\/TAP.2016.2600700","article-title":"A modified MUSIC algorithm for direction of arrival estimation in the presence of antenna array manifold mismatch","volume":"64","author":"Anderew","year":"2016","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1161","DOI":"10.1109\/LCOMM.2010.102610.101581","article-title":"Direction of departure (DOD) and direction of arrival(DOA) estimation in MIMO radar with reduced dimension MUSIC","volume":"14","author":"Zhang","year":"2010","journal-title":"IEEE Commun. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Li, H.W., Zhang, L., and Jiang, C.Q. (2018, January 7\u201310). Joint TOA and DOA estimation based on improved matrix pencil method. Proceedings of the 2018 IEEE 4th International Conference on Computer and Communication, Chengdu, China.","DOI":"10.1109\/CompComm.2018.8780630"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2989","DOI":"10.1364\/OL.40.002989","article-title":"Fast two-dimensional super-high resolution image reconstruction algorithm for ultra-high emitter density","volume":"40","author":"Huang","year":"2015","journal-title":"Optic-Lett."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"60827","DOI":"10.1109\/ACCESS.2019.2915189","article-title":"Grid-free DOD and DOA estimation for MIMO radar via duality-based 2D atomic norm minimization","volume":"7","author":"Tang","year":"2019","journal-title":"IEEE Access"},{"key":"ref_26","unstructured":"Xu, X.J. (2018). New Techniques for Radar Target Scattering Signature Measurement and Processing, National Defence Industry Press."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1206","DOI":"10.23919\/JSEE.2020.000065","article-title":"Parameter estimation of GTD model and RCS extrapolation based on a modified 3D-ESPRIT algorithm","volume":"31","author":"Zheng","year":"2020","journal-title":"J. Syst. Eng. Electron."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1975","DOI":"10.1109\/TSP.2016.2641392","article-title":"An efficient implementation of the generalized labeled multi-Bernoulli filter","volume":"65","author":"Vo","year":"2017","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_29","unstructured":"Zhou, J.X. (2006). Theory and Technology on Reconstructing 3D Scattering Centers of Radar Targets in Optical Region. [Ph.D. Thesis, National University of Defense Technology]."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/19\/4808\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T21:04:29Z","timestamp":1760130269000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/19\/4808"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,3]]},"references-count":29,"journal-issue":{"issue":"19","published-online":{"date-parts":[[2023,10]]}},"alternative-id":["rs15194808"],"URL":"https:\/\/doi.org\/10.3390\/rs15194808","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10,3]]}}}