{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T20:03:03Z","timestamp":1760731383471,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2020,11,6]],"date-time":"2020-11-06T00:00:00Z","timestamp":1604620800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["No. 61873070"],"award-info":[{"award-number":["No. 61873070"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005046","name":"Natural Science Foundation of Heilongjiang Province","doi-asserted-by":"publisher","award":["No. LH2020F018"],"award-info":[{"award-number":["No. LH2020F018"]}],"id":[{"id":"10.13039\/501100005046","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Heilongjiang Province Key Laboratory of High Accuracy Satellite Navigation and Marine Application Laboratory","award":["No. HKL-2020-Y03"],"award-info":[{"award-number":["No. HKL-2020-Y03"]}]},{"name":"Technology Development Project of the China Research Institute of Radiowave Propagation","award":["No. JW2019-114"],"award-info":[{"award-number":["No. JW2019-114"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>Unmanned aircraft vehicle frequency hopping (UAV-FH) systems face multiple types of jamming, and one anti-jamming method cannot cope with all types of jamming. Therefore, the jamming signals of the environment where the UAV-FH system is located must be identified and classified; moreover, anti-jamming measures must be selected in accordance with different jamming types. First, the algorithm extracts the Sevcik fractal dimension from the frequency domain (SFDF) and the degree of energy concentration from the fractional Fourier domain of various types of jamming. Then, these parameters are combined into a two-dimensional feature vector and used as a feature parameter for classification and recognition. Lastly, a binary tree-based support vector machine (BT-SVM) multi-classifier is used to classify the jamming signal. Simulation results show that the feature parameters extracted by the proposed method have good separation and strong stability. Compared with the existing box-dimensional recognition algorithm, the new algorithm not only can quickly and accurately identify the type of jamming signal but also has more advantages when the jamming-to-noise ratio (JNR) is low.<\/jats:p>","DOI":"10.3390\/info11110520","type":"journal-article","created":{"date-parts":[[2020,11,6]],"date-time":"2020-11-06T09:09:30Z","timestamp":1604653770000},"page":"520","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Two-Dimensional Jamming Recognition Algorithm Based on the Sevcik Fractal Dimension and Energy Concentration Property for UAV Frequency Hopping Systems"],"prefix":"10.3390","volume":"11","author":[{"given":"Rui","family":"Xue","sequence":"first","affiliation":[{"name":"College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huaiyu","family":"Tang","sequence":"additional","affiliation":[{"name":"China Research Institute of Radiowave Propagation, Xinxiang 453000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,6]]},"reference":[{"key":"ref_1","unstructured":"Pazmi\u00f1o, W.M., Olmedo, A.J., and Redrov\u00e1n, D.V. (2016, January 12\u201314). Analysis and determination of minimum requirements for a data link communication system for unmanned aerial vehicles-UAV\u2019s. Proceedings of the 2016 IEEE Ecuador Technical Chapters Meeting (ETCM), Guayaquil, Ecuador."},{"key":"ref_2","first-page":"1242","article-title":"Technique against self-protection repeating track false-target deceptive jamming for radar","volume":"37","author":"Li","year":"2015","journal-title":"J. Syst. Eng. Electron."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"728","DOI":"10.1109\/TVT.2019.2954070","article-title":"Design of Anti-Jamming Waveforms for Time-Hopping Spread Spectrum Systems in Tone Jamming Environments","volume":"69","author":"Jung","year":"2020","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Zhou, B., Kong, D., Geng, H., Dai, H., and Wang, J. (2019, January 18\u201319). A Design of Cognitive Anti-jamming System in Complex Environment. Proceedings of the 2019 Cross Strait Quad-Regional Radio Science and Wireless Technology Conference (CSQRWC), Taiyuan, China.","DOI":"10.1109\/CSQRWC.2019.8799129"},{"key":"ref_5","first-page":"13","article-title":"Cognitive radio: Making software radios more personal","volume":"6","author":"Mitola","year":"1999","journal-title":"IEEE Wirel. Commun."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1145\/1621076.1621082","article-title":"Cognitive frequency hopping based on interference prediction","volume":"13","author":"Geirhofer","year":"2009","journal-title":"Mob. Comput. Commun. Rev."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Han, G., Xiao, L., and Poor, H.V. (2017, January 5\u20139). Two-dimensional anti-jamming communication based on deep reinforcement learning. Proceedings of the 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), New Orleans, LA, USA.","DOI":"10.1109\/ICASSP.2017.7952524"},{"key":"ref_8","unstructured":"Hasan, S., and Yu, D.Y. (2014, January 9\u201310). Algorithm and experimentation of frequency hopping, band hopping, and transmission band selection using a cognitive radio test bed. Proceedings of the 2014 23rd Wireless and Optical Communication Conference (WOCC), Newark, NJ, USA."},{"key":"ref_9","first-page":"234","article-title":"Design of interference recognition and classification filter of satellite navigation electromagnetic environment","volume":"36","author":"Fan","year":"2014","journal-title":"Syst. Eng. Electron."},{"key":"ref_10","first-page":"1078","article-title":"Automatic Identification of Interferences in Direct Sequence Spread Spectrum Communication System","volume":"29","author":"Yang","year":"2008","journal-title":"Acta Armamentarii"},{"key":"ref_11","first-page":"3780","article-title":"Automatic Recognition of Interference Type in UAV Data-link","volume":"23","author":"Zhou","year":"2015","journal-title":"Comput. Meas. Control"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Meng, X.-Y., Tao, R., and Jia, L.-N. (2010, January 17\u201319). An Intelligent Anti-jamming Frequency Hopping System. Proceedings of the 2010 First International Conference on Pervasive Computing, Signal Processing and Applications, Harbin, China.","DOI":"10.1109\/PCSPA.2010.259"},{"key":"ref_13","unstructured":"Fang, F., Li, Y.G., Niu, Y.T., and Wang, Y.T. (2019). Interference signal recognition based on decision tree algorithm. Commun. Technol., 2617\u20132623."},{"key":"ref_14","first-page":"1609","article-title":"The Research of Interference Recognition Technology Based on the Joint Multi-dimensional Features","volume":"33","author":"Liang","year":"2017","journal-title":"J. Signal Process."},{"key":"ref_15","first-page":"1950","article-title":"Jamming classification and recognition in transform domain communication system based on signal feature space","volume":"39","author":"Wang","year":"2017","journal-title":"Syst. Eng. Electron."},{"key":"ref_16","first-page":"1124","article-title":"Detection and classification algorithm of suppression interference based on characteristic differences of FRFT domain","volume":"44","author":"Wang","year":"2018","journal-title":"J. Beijing Univ. Aeronaut. Astronaut."},{"key":"ref_17","first-page":"422","article-title":"Jamming recognition scheme based on fractal box dimension and Wavelet packet energy","volume":"28","author":"Huang","year":"2014","journal-title":"J. Air Force Early Warn. Acad."},{"key":"ref_18","first-page":"30","article-title":"An Interference Pattern Recognition Method Based on Complexity Measure","volume":"35","author":"Zhang","year":"2013","journal-title":"J. Heze Univ."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Niu, Y., Cheng, Y., and Chen, J. (2010, January 16\u201318). Jamming pattern recognition based on complexity measure. Proceedings of the 2010 3rd International Congress on Image and Signal Processing, Yantai, China.","DOI":"10.1109\/CISP.2010.5647553"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1016\/j.chaos.2005.07.003","article-title":"On fractal dimension of waveforms","volume":"28","author":"Sevcik","year":"2006","journal-title":"Chaossolitons Fractals"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1109\/TSP.2007.901666","article-title":"Sampling and Sampling Rate Conversion of Band Limited Signals in the Fractional Fourier Transform Domain","volume":"56","author":"Tao","year":"2007","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_22","first-page":"48","article-title":"Adaptive filtering algorithm for LFM signal and performance analysis based on FRFT","volume":"32","author":"Chen","year":"2010","journal-title":"Mod. Radar"},{"key":"ref_23","unstructured":"Shen, P. (2018). Research on Interference Recognition Technology in Frequency Hopping Communication System, Xidian University."}],"container-title":["Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2078-2489\/11\/11\/520\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:29:58Z","timestamp":1760178598000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2078-2489\/11\/11\/520"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,6]]},"references-count":23,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2020,11]]}},"alternative-id":["info11110520"],"URL":"https:\/\/doi.org\/10.3390\/info11110520","relation":{},"ISSN":["2078-2489"],"issn-type":[{"type":"electronic","value":"2078-2489"}],"subject":[],"published":{"date-parts":[[2020,11,6]]}}}