{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T05:23:15Z","timestamp":1782969795612,"version":"3.54.5"},"reference-count":28,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2018,11,23]],"date-time":"2018-11-23T00:00:00Z","timestamp":1542931200000},"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":["61603181, 61533008"],"award-info":[{"award-number":["61603181, 61533008"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The loosely coupled integration of Global Navigation Satellite System (GNSS) and Inertial Navigation System (INS) have been widely used to improve the accuracy, robustness and continuity of navigation services. However, the integration systems possibly affected by spoofing attacks, since integration algorithms without spoofing detection would feed autonomous INSs with incorrect compensations from the spoofed GNSSs. This paper theoretically analyzes and tests the performances of GNSS\/INS loosely coupled integration systems with the classical position fusion and position\/velocity fusion under typical meaconing (MEAC) and lift-of-aligned (LOA) spoofing attacks. Results show that the compensations of Inertial Measurement Unit (IMU) errors significantly increase under spoofing attacks. The compensations refer to the physical features of IMUs and their unreasonable increments likely result from the spoofing-induced inconsistency of INS and GNSS measurements. Specially, under MEAC attacks, the IMU error compensations in both the position-fusion-based system and position\/velocity-fusion-based system increase obviously. Under LOA attacks, the unreasonable compensation increments are found from the position\/velocity-fusion-based integration system. Then a detection method based on IMU error compensations is tested and the results show that, for the position\/velocity-fusion-based integration system, it can detect both MEAC and LOA attacks with high probability using the IMU error compensations.<\/jats:p>","DOI":"10.3390\/s18124108","type":"journal-article","created":{"date-parts":[[2018,11,23]],"date-time":"2018-11-23T12:20:28Z","timestamp":1542975628000},"page":"4108","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":37,"title":["Performance Analysis of GNSS\/INS Loosely Coupled Integration Systems under Spoofing Attacks"],"prefix":"10.3390","volume":"18","author":[{"given":"Rui","family":"Xu","sequence":"first","affiliation":[{"name":"Navigation Research Center, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mengyu","family":"Ding","sequence":"additional","affiliation":[{"name":"Navigation Research Center, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ya","family":"Qi","sequence":"additional","affiliation":[{"name":"Navigation Research Center, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shuai","family":"Yue","sequence":"additional","affiliation":[{"name":"Navigation Research Center, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jianye","family":"Liu","sequence":"additional","affiliation":[{"name":"Navigation Research Center, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2018,11,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"S\u00e1nchez-Naranjo, S.M., Ferrara, N.G., Pa\u015bnikowski, M.J., Raasakka, J., Shytermeja, E., Ramos-Poll\u00e1n, R., Osorio, F.A.O., Mart\u00ednez, D., Lohan, E.-S., and Nurmi, J. 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