{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:35:54Z","timestamp":1760236554791,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2021,12,1]],"date-time":"2021-12-01T00:00:00Z","timestamp":1638316800000},"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>Wideband radar has high-range directional resolution, which can effectively reduce the fluctuation of echo and improve the detection probability of a target under the same detection probability requirement. In this paper, a unified wideband radar \u03c72 distribution target model with more practical significance is innovatively established, on which the probability density function and detection probability function of Swerling 0, Swerling II and Swerling IV targets are analyzed, respectively. A generalized \u201cfrequency diversity gain\u201d of wideband radar is proposed and defined based on the contradiction between suppression of fluctuation and accumulation loss, which represents the ratio of Signal-to-Noise Ratio (SNR) gain between broadband signal and reference bandwidth signal under the same condition (when the reference bandwidth is used, the radar target has only one range unit), and the mathematical relation equation of the target detection performance and signal bandwidth (equivalent to the number of distinguishable range elements of the target) is given. A Monte Carlo simulation experiment is designed. Based on the target model established in this paper, the optimal number of target range units corresponding to different detection probability requirements is obtained, which verifies the correctness of the concept proposed in this paper.<\/jats:p>","DOI":"10.3390\/rs13234885","type":"journal-article","created":{"date-parts":[[2021,12,2]],"date-time":"2021-12-02T02:56:14Z","timestamp":1638413774000},"page":"4885","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Frequency Diversity Gain of a Wideband Radar Signal"],"prefix":"10.3390","volume":"13","author":[{"given":"Mengmeng","family":"Shen","sequence":"first","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology(NUDT), No. 109 Deya Road, Changsha 410073, China"}]},{"given":"Feng","family":"He","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology(NUDT), No. 109 Deya Road, Changsha 410073, China"}]},{"given":"Zhen","family":"Dong","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology(NUDT), No. 109 Deya Road, Changsha 410073, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8343-1209","authenticated-orcid":false,"given":"Xing","family":"Chen","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology(NUDT), No. 109 Deya Road, Changsha 410073, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5864-0647","authenticated-orcid":false,"given":"Lei","family":"Yu","sequence":"additional","affiliation":[{"name":"College of Electronic Science and Technology, National University of Defense Technology(NUDT), No. 109 Deya Road, Changsha 410073, China"}]},{"given":"Manqing","family":"Wu","sequence":"additional","affiliation":[{"name":"China Electronics Technology Group Corporation, Beijing 100043, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,12,1]]},"reference":[{"key":"ref_1","first-page":"1","article-title":"The Fundamental Trajectory Reconstruction Results of Ground Moving Target from Single-Channel CSAR Geometry","volume":"56","author":"Wang","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1109\/LGRS.2009.2021584","article-title":"Achieving higher resolution ISAR imaging with limited pulses via compressive sampling","volume":"6","author":"Zhang","year":"2009","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"4474","DOI":"10.1109\/TSP.2015.2437844","article-title":"Coherent integration algorithm for a maneuvering target with high-order range migration","volume":"63","author":"Kong","year":"2015","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Yang, J., Qiu, X., Shang, M., Zhong, L., and Ding, C. (2020). A Method of Marine Moving Targets Detection in Multi-Channel ScanSAR System. Remote Sens., 12.","DOI":"10.3390\/rs12223792"},{"key":"ref_5","unstructured":"Bao, Z., Xing, M., and Wang, T. (2005). Radar Imaging Technique, Publishing House of Electronics Industry."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1153","DOI":"10.1109\/TAES.2009.5259190","article-title":"Waveform Design for Multistatic Radar Detection","volume":"45","author":"Kay","year":"2009","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_7","first-page":"508","article-title":"Automated Tracking for Aircraft Surveillance Radar Systems","volume":"15","author":"Muehe","year":"1979","journal-title":"IEEE Trans."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1837","DOI":"10.3724\/SP.J.1146.2009.01080","article-title":"Comparison of detection performance of wideband and narrowband radar in noise","volume":"32","author":"Dai","year":"2010","journal-title":"J. Electron. Inf."},{"key":"ref_9","unstructured":"Wehner, D.R. (1994). High Resolution Radar, Artech House Publishing. [2nd ed.]."},{"key":"ref_10","unstructured":"Orlenko, V.M., and Shirman, Y.D. (2004, January 11\u201315). Non-coherent intergration losses of wideband target detection. Proceedings of the First European Radar Conference, Amsterdam, The Netherlands."},{"key":"ref_11","unstructured":"Xiao, J., Huang, P., and Wen, S. (2017, January 6\u20138). Analysis of the influence of radar bandwidth on detection performance. Proceedings of the 10th National Radar Annual Conference, Guangzhou, China."},{"key":"ref_12","unstructured":"Jia, S. (2010). Research on Target Detection Algorithm of Wideband Radar, University of Electronic Science and Technology."},{"key":"ref_13","unstructured":"Li, Y. (2007). Research on Detection Method of Wideband Radar Target Echo Signal, University of Electronic Science and Technology."},{"key":"ref_14","unstructured":"Merrill, I. (2001). Introduction to Radar Systems, McGraw-Hall. [3rd ed.]."},{"key":"ref_15","first-page":"31","article-title":"Diversity considerations in wideband radar detection of migrating targets in clutter","volume":"62","author":"Fran","year":"2019","journal-title":"Sci. China Inf. Sci."},{"key":"ref_16","unstructured":"William, L., and James, A. (2001). Principles of Modern Radar Advanced Techniques, SciTech Publishing."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Tian, M., Liao, G., Zhu, S., He, X., Liu, Y., and Li, Y. (2021). An Efficient Method for Ground Maneuvering Target Refocusing and Motion Parameter Estimation Based on DPT-KT-MFP. Remote Sens., 13.","DOI":"10.3390\/rs13061092"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1705","DOI":"10.1109\/LGRS.2018.2859785","article-title":"Maximum Likelihood Detector in Gamma-Distributed Sea Clutter","volume":"15","author":"Zhou","year":"2018","journal-title":"IEEE Geosci. Remote. Sens. Lett."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"839","DOI":"10.1109\/PROC.1981.12082","article-title":"A Closed-Form Approximation to Robertson\u2019s Detection Characteristics","volume":"69","author":"Albersheim","year":"1981","journal-title":"Proc. IEEE"},{"key":"ref_20","unstructured":"Ding, L., Geng, F., and Chen, J. (1984). Radar Principles, Northwestern Institute of Telecommunications Engineering Press."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1109\/TIT.1960.1057561","article-title":"Probability of detection for fluctuating targets","volume":"6","author":"Swerling","year":"1960","journal-title":"IRE Trans. Inf. Theory"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1109\/JSTSP.2009.2038971","article-title":"Performance of MIMO radar with angular diversity under Swerling scattering models","volume":"4","author":"Aittomaki","year":"2010","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Zheng, J., Zhu, K., Niu, Z., Liu, H., and Liu, Q.H. (2021). Generalized Dechirp-Keystone Transform for Radar High-Speed Maneuvering Target Detection and Localization. Remote Sens., 13.","DOI":"10.3390\/rs13173367"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Zou, Y., Tian, J., Jin, G., and Zhang, Y. (2021). MTRC-Tolerated Multi-Target Imaging Based on 3D Hough Transform and Non-Equal Sampling Sparse Solution. Remote Sens., 13.","DOI":"10.3390\/rs13193817"}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/13\/23\/4885\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T07:38:32Z","timestamp":1760168312000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/13\/23\/4885"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,1]]},"references-count":24,"journal-issue":{"issue":"23","published-online":{"date-parts":[[2021,12]]}},"alternative-id":["rs13234885"],"URL":"https:\/\/doi.org\/10.3390\/rs13234885","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2021,12,1]]}}}