{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T12:26:06Z","timestamp":1770467166566,"version":"3.49.0"},"reference-count":38,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2023,8,10]],"date-time":"2023-08-10T00:00:00Z","timestamp":1691625600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006480","name":"National Defense Basic Scientific Research program of China","doi-asserted-by":"publisher","award":["WDZC20225250203"],"award-info":[{"award-number":["WDZC20225250203"]}],"id":[{"id":"10.13039\/501100006480","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Reasonable allocation of space-based radar resources is a crucial aspect of improving the accuracy of space multi-target tracking and enhancing spatial awareness. The conventional resource allocation algorithm fails to exploit the high dynamic radar cross-section (RCS) characteristics, resulting in poor tracking robustness, tracking divergence, or even loss of tracking. However, the RCS of space targets fluctuates considerably in actual tracking scenarios, which cannot be disregarded for space target tracking tasks. To address this issue, we propose an adaptive allocation method that considers the dynamic RCS fluctuation characteristic for space-based radar tracking assignments. The proposed method exploits the predictable orbital information of space target to calculate the real-time observation angle of radar, and then obtains the multi-target dynamic RCS through the target RCS dataset. By combining the obtained RCS sequence, radar power, and bandwidth, an optimal model for radar tracking accuracy is established based on the multi-target posterior Cram\u00e9r\u2013Rao lower bound (PCRLB) to evaluate the tracking performance. By resolving the aforementioned multivariance optimization problem, we eventually acquire the results of power and bandwidth pre-allocation for tracking multiple space targets. Simulation results validate that, compared with the traditional methods, the proposed joint dynamic RCS power and bandwidth allocation (JRPBA) method can achieve superior tracking accuracy and minimize instances of missed tracking.<\/jats:p>","DOI":"10.3390\/rs15163971","type":"journal-article","created":{"date-parts":[[2023,8,10]],"date-time":"2023-08-10T10:24:47Z","timestamp":1691663087000},"page":"3971","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Joint Power and Bandwidth Allocation with RCS Fluctuation Characteristic for Space Target Tracking"],"prefix":"10.3390","volume":"15","author":[{"given":"Qingwei","family":"Yang","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 Technolody, 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 Technolody, Changsha 410073, China"}]},{"given":"Shuyu","family":"Zheng","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 Technolody, 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 Technolody, 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 Technolody, Changsha 410073, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,10]]},"reference":[{"key":"ref_1","unstructured":"Klinkrad, H. (2006). Space Debris: Models Risk Analysis, Springer."},{"key":"ref_2","unstructured":"Weeden, B., Cefola, P., and Sankaran, J. (2010, January 14\u201317). Global space situational awareness sensors. Proceedings of the Advanced Maui Optical and Space Surveillance Technologies Conference, Maui, HI, USA."},{"key":"ref_3","unstructured":"Vallado, D.A., and Griesbach, J.D. (2011, January 31). Simulating Space Surveillance Networks. Proceedings of the AAS 11-580 the AAS\/AIAA Astrodynamics Specialist Conference, Napa, CA, USA."},{"key":"ref_4","first-page":"1","article-title":"Novel Multi-Object Filtering Approach for Space Situational Awareness","volume":"41","author":"Delande","year":"2017","journal-title":"J. Guid. Control. Dyn."},{"key":"ref_5","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":"2019","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Schirru, L., Pisanu, T., and Podda, A. (2021). The Ad Hoc Back-End of the BIRALET Radar to Measure Slant-Range and Doppler Shift of Resident Space Objects. Electronics, 10.","DOI":"10.3390\/electronics10050577"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Karamanavis, V., Dirks, H., Fuhrmann, L., Schlichthaber, F., Egli, N., Patzelt, T., and Klare, J. (2023). Characterization of deorbiting satellites and space debris with radar. Adv. Space Res.","DOI":"10.1016\/j.asr.2023.07.033"},{"key":"ref_8","unstructured":"Ender, J., Leushacke, L., Brenner, L., and Wilden, H. (2011, January 9\u201321). RaWAdar Techniques for Space Situational Awareness. Proceedings of the 12th International Radar Symposium (IRS), Dresden, Germany."},{"key":"ref_9","unstructured":"Console, A. (2019). Command and Control of a Multinational Space Surveillance and Tracking Network, Joint Air Power Competence Centre (JAPCC)."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1109\/MSP.2007.904812","article-title":"MIMO Radar with Colocated Antennas","volume":"24","author":"Li","year":"2007","journal-title":"IEEE Signal Process Mag."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1109\/MSP.2008.4408448","article-title":"MIMO radar with widely separated antennas","volume":"25","author":"Haimovich","year":"2008","journal-title":"IEEE Signal Process Mag."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1109\/TSP.2020.3039605","article-title":"Waveform Design for Collocated MIMO Radar With High-Mix-Low-Resolution ADCs","volume":"69","author":"Cheng","year":"2021","journal-title":"IEEE Trans. Signal Process"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2476","DOI":"10.1109\/TSP.2022.3173756","article-title":"Convex optimization-based power allocation strategies for target lo-calization in distributed Hybrid non-coherent active-passive radar networks","volume":"70","author":"Zhang","year":"2022","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"927","DOI":"10.1109\/TAES.2008.4655353","article-title":"Target detection and parameter estimation for MIMO radar systems","volume":"44","author":"Xu","year":"2008","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2656","DOI":"10.1109\/TSP.2014.2315169","article-title":"Resource allocation in MIMO radar with multiple targets for non-coherent locali-zation","volume":"62","author":"Garcia","year":"2014","journal-title":"IEEE Trans. Signal Process"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1427","DOI":"10.1109\/JSTSP.2015.2465304","article-title":"Cognitive Radar Framework for Target Detection and Tracking","volume":"9","author":"Bell","year":"2015","journal-title":"IEEE J. Sel. Top. Signal Process"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1098","DOI":"10.1109\/JSEN.2014.2360039","article-title":"Power Allocation Algorithm for Target Tracking in Unmodulated Continuous Wave Radar Network","volume":"15","author":"Yan","year":"2015","journal-title":"IEEE Sensors J."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.inffus.2019.08.010","article-title":"Collaborative detection and power allocation framework for target tracking in multiple radar system","volume":"55","author":"Yan","year":"2020","journal-title":"Inf. Fusion"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1109\/TSP.2014.2371774","article-title":"Prior knowledge-based simultaneous multibeam power allocation algorithm for cog-nitive multiple targets tracking in clutter","volume":"63","author":"Yan","year":"2015","journal-title":"IEEE Trans. Signal Process"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1109\/TVT.2022.3204939","article-title":"Joint Strategy of Power and Bandwidth Allocation for Multiple Ma-neuvering Target Tracking in Cognitive MIMO Radar With Collocated Antennas","volume":"72","author":"Li","year":"2023","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"694","DOI":"10.1109\/JSYST.2020.2986020","article-title":"Joint Target Assignment and Power Allocation in Multiple Distributed MIMO Radar Networks","volume":"15","author":"Zhang","year":"2021","journal-title":"IEEE Syst. J."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2569","DOI":"10.1109\/JSYST.2019.2960401","article-title":"Joint Subarray Selection and Power Allocation for Cognitive Target Tracking in Large-Scale MIMO Radar Networks","volume":"14","author":"Zhang","year":"2020","journal-title":"IEEE Syst. J."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1109\/TAES.2020.3031767","article-title":"Antenna Selection for Target Tracking in Collocated MIMO Radar","volume":"57","author":"Zhang","year":"2021","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1602","DOI":"10.1109\/TSP.2020.2976587","article-title":"Resource Scheduling for Distributed Multi-Target Tracking in Netted Colocated MIMO Radar Systems","volume":"68","author":"Yi","year":"2020","journal-title":"IEEE Trans. Signal Process"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1386","DOI":"10.1109\/78.668800","article-title":"Posterior Cramer-Rao bounds for discrete-time nonlinear filtering","volume":"46","author":"Tichavsky","year":"1998","journal-title":"IEEE Trans. Signal Process"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/j.sigpro.2019.01.014","article-title":"Scaled accuracy based power allocation for multi-target tracking with colocated MIMO radars","volume":"158","author":"Yuan","year":"2019","journal-title":"Signal Process"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1109\/TSP.2017.2777394","article-title":"Joint Node Selection and Power Allocation Strategy for Multitarget Tracking in Decentralized Radar Networks","volume":"66","author":"Xie","year":"2018","journal-title":"IEEE Trans. Signal Process"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"3349","DOI":"10.1109\/TAES.2020.3009510","article-title":"Analytic Model for Low Earth Orbit Satellite Solar Power","volume":"56","author":"Grey","year":"2020","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Li, Z.J., Xie, J.W., and Ge, J.A. (2019, January 18\u201320). Power allocation optimization algorithm based on collocated MIMO radar. Proceedings of the International Conference on Electronic Information Technology and Computer Engineering (EITCE), Xiamen, China.","DOI":"10.1109\/EITCE47263.2019.9094802"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"9795","DOI":"10.1109\/TVT.2020.3002899","article-title":"Power and Bandwidth Allocation for Multi-Target Tracking in Collocated MIMO Radar","volume":"69","author":"Zhang","year":"2020","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_31","unstructured":"Chang, J.Y., Fu, X., Cheng, G.J., Fang, G.Q., and Liu, S.L. (2015, January 13\u201317). Low-earth-orbit object detection by spaceborne netted radars. Proceedings of the 2015 12th International Bhurban Conference on Applied Sciences and Technology (IBCAST), Islamabad, Pakistan."},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Challa, S., Morelande, M.R., Mu\u0161icki, D., and Evans, R.J. (2011). Fundamentals of Object Tracking, University Press.","DOI":"10.1017\/CBO9780511975837"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Shi, C., Fei, W., and Zhou, J. (2015, January 5\u20138). Resource management for target tracking in distributed radar network system. Proceedings of the IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC), Zhejiang, China.","DOI":"10.1109\/ICSPCC.2015.7338761"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/j.asr.2016.04.013","article-title":"Observation angle and plane characterisation for ISAR imaging of LEO space objects","volume":"58","author":"Chen","year":"2016","journal-title":"Adv. Space Res."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"108401","DOI":"10.1088\/1674-1056\/26\/10\/108401","article-title":"High resolution inverse synthetic aperture radar imaging of three-axis-stabilized space target by exploiting orbital and sparse priors","volume":"26","author":"Ma","year":"2017","journal-title":"Chin. Phys. B"},{"key":"ref_36","first-page":"5110317","article-title":"Multipass Interferometric ISAR for Three-Dimensional Space Target Reconstruction","volume":"60","author":"Yu","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_37","first-page":"410","article-title":"Development of a real-time satellite orbit propagation system using TLE databases","volume":"66","author":"Chae","year":"2020","journal-title":"Adv. Space Res."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1489","DOI":"10.1109\/TAES.2017.2671684","article-title":"An Implicit UKF for Satellite Stellar Refraction Navigation System","volume":"53","author":"Ning","year":"2017","journal-title":"IEEE Trans. Aerosp. Electron. Syst."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/16\/3971\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:30:50Z","timestamp":1760128250000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/16\/3971"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,10]]},"references-count":38,"journal-issue":{"issue":"16","published-online":{"date-parts":[[2023,8]]}},"alternative-id":["rs15163971"],"URL":"https:\/\/doi.org\/10.3390\/rs15163971","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,8,10]]}}}