{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T07:31:04Z","timestamp":1782977464439,"version":"3.54.5"},"reference-count":24,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2016,7,16]],"date-time":"2016-07-16T00:00:00Z","timestamp":1468627200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Nature Science Foundation","award":["61202472, 61373123, 61572229"],"award-info":[{"award-number":["61202472, 61373123, 61572229"]}]},{"DOI":"10.13039\/501100013286","name":"Research Fund for the Doctoral Program of Higher Education of China","doi-asserted-by":"publisher","award":["20120061120060"],"award-info":[{"award-number":["20120061120060"]}],"id":[{"id":"10.13039\/501100013286","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Jilin Provincial International Cooperation Foundation","award":["20140414008GH, 20150414004GH"],"award-info":[{"award-number":["20140414008GH, 20150414004GH"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This paper proposes a multi-sensory Joint Adaptive Kalman Filter (JAKF) through extending innovation-based adaptive estimation (IAE) to estimate the motion state of the moving vehicles ahead. JAKF views Lidar and Radar data as the source of the local filters, which aims to adaptively adjust the measurement noise variance-covariance (V-C) matrix \u2018R\u2019 and the system noise V-C matrix \u2018Q\u2019. Then, the global filter uses R to calculate the information allocation factor \u2018\u03b2\u2019 for data fusion. Finally, the global filter completes optimal data fusion and feeds back to the local filters to improve the measurement accuracy of the local filters. Extensive simulation and experimental results show that the JAKF has better adaptive ability and fault tolerance. JAKF enables one to bridge the gap of the accuracy difference of various sensors to improve the integral filtering effectivity. If any sensor breaks down, the filtered results of JAKF still can maintain a stable convergence rate. Moreover, the JAKF outperforms the conventional Kalman filter (CKF) and the innovation-based adaptive Kalman filter (IAKF) with respect to the accuracy of displacement, velocity, and acceleration, respectively.<\/jats:p>","DOI":"10.3390\/s16071103","type":"journal-article","created":{"date-parts":[[2016,7,18]],"date-time":"2016-07-18T09:38:03Z","timestamp":1468834683000},"page":"1103","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["The Joint Adaptive Kalman Filter (JAKF) for Vehicle Motion State Estimation"],"prefix":"10.3390","volume":"16","author":[{"given":"Siwei","family":"Gao","sequence":"first","affiliation":[{"name":"College of Computer Science and Technology, Jilin University, Changchun 130012, China"},{"name":"Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yanheng","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Computer Science and Technology, Jilin University, Changchun 130012, China"},{"name":"Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012, China"},{"name":"State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jian","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Computer Science and Technology, Jilin University, Changchun 130012, China"},{"name":"Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012, China"},{"name":"State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130012, China"},{"name":"Department of Computer Science and Engineering, Hanyang University, Ansan 426791, Korea"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Weiwen","family":"Deng","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Heekuck","family":"Oh","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, Hanyang University, Ansan 426791, Korea"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2016,7,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1109\/TITS.2009.2018319","article-title":"Obstacle detection and tracking for the urban challenge","volume":"10","author":"Darms","year":"2009","journal-title":"IEEE Trans. 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