{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,7]],"date-time":"2026-01-07T07:54:25Z","timestamp":1767772465224,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["62171735","62271397","62001392","61803310","2021JQ-075","2021JQ-693","JCYJ20220530161615033"],"award-info":[{"award-number":["62171735","62271397","62001392","61803310","2021JQ-075","2021JQ-693","JCYJ20220530161615033"]}]},{"name":"Natural Science Basic Research Program of Shaanxi","award":["62171735","62271397","62001392","61803310","2021JQ-075","2021JQ-693","JCYJ20220530161615033"],"award-info":[{"award-number":["62171735","62271397","62001392","61803310","2021JQ-075","2021JQ-693","JCYJ20220530161615033"]}]},{"name":"Shenzhen Science and Technology Program","award":["62171735","62271397","62001392","61803310","2021JQ-075","2021JQ-693","JCYJ20220530161615033"],"award-info":[{"award-number":["62171735","62271397","62001392","61803310","2021JQ-075","2021JQ-693","JCYJ20220530161615033"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>With the rapid development of large urban agglomerations and the increasing complexity of urban roads, the high-precision positioning of vehicles has become the cornerstone for the application of vehicle core technologies such as automatic driving. The real-time positioning accuracy of satellite navigation is easily affected by urban canyons, and its stability is poor; thus, how to use the information of the internet of vehicles to achieve satellite navigation fusion has become a difficult problem of multivehicle cooperative positioning. Aiming at this problem, this paper proposes a multivehicle 3D cooperative positioning algorithm based on information geometric probability fusion of GNSS\/wireless station navigation (MVCP-GW), which creatively converts various navigation source information into an information geometric probability model, unifies navigation information time\u2013frequency parameters, and reduces the impact of sudden error. Combined with the Kullback\u2013Leibler algorithm (KLA) fusion method, it breaks off the shackles of the probabilistic two-dimensional model and achieves multivehicle three-dimensional cooperative positioning. Compared with the existing cooperative positioning algorithms in the performance of accuracy stability, applicability, obstruction scenarios, and physical verification, the simulation results and physical verification show that the MVCP-GW algorithm can effectively improve real-time vehicle positioning and the stability of vehicle positioning, as well as resist the impact of obstructed environments.<\/jats:p>","DOI":"10.3390\/rs14236094","type":"journal-article","created":{"date-parts":[[2022,12,2]],"date-time":"2022-12-02T03:00:36Z","timestamp":1669950036000},"page":"6094","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Multivehicle 3D Cooperative Positioning Algorithm Based on Information Geometric Probability Fusion of GNSS\/Wireless Station Navigation"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9008-0061","authenticated-orcid":false,"given":"Chengkai","family":"Tang","sequence":"first","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"},{"name":"Research & Development Institute of Northwestern Polytechnical University in Shenzhen, Shenzhen 518063, China"}]},{"given":"Chen","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"given":"Lingling","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"given":"Yi","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2631-9223","authenticated-orcid":false,"given":"Houbing","family":"Song","sequence":"additional","affiliation":[{"name":"Department of Electrical, Computer, Software, and Systems Engineering, Embry-Riddle Aeronautical University, Daytona Beach, FL 32114, USA"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"95046","DOI":"10.1109\/ACCESS.2020.2993462","article-title":"PCM: A Positioning Calibration Mechanism for Connected Autonomous Vehicles","volume":"8","author":"Ling","year":"2020","journal-title":"IEEE Access"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"961","DOI":"10.1109\/TII.2020.2987431","article-title":"Trustworthiness of self-driving vehicles for intelligent transportation systems in industry applications","volume":"17","author":"Chowdhury","year":"2020","journal-title":"IEEE Trans. Ind. Inf."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1109\/TIV.2020.3044257","article-title":"Vehicle position and context detection using V2V communication","volume":"6","author":"Watta","year":"2020","journal-title":"IEEE Trans. Intell. Veh."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Zhou, S., Cheng, G., Meng, Q., Lin, H., Du, Z., and Wang, F. (2020, January 12\u201314). Development of multi-sensor information fusion and AGV navigation system. Proceedings of the 2020 IEEE 4th Information Technology, Networking, Electronic and Automation Control Conference (ITNEC), Chongqing, China.","DOI":"10.1109\/ITNEC48623.2020.9084687"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"5501813","DOI":"10.1109\/TIM.2022.3168896","article-title":"High-Rate Attitude Determination of Moving Vehicles With GNSS: GPS, BDS, GLONASS, and Galileo","volume":"71","author":"Shu","year":"2022","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_6","first-page":"9385","article-title":"Squeezing Position Updates For Enhanced Estimation of Land Vehicles Aided INS","volume":"20","author":"Klein","year":"2020","journal-title":"IEEE Sens. J."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"3940","DOI":"10.1109\/TII.2020.3010619","article-title":"WAVE-Based Vehicle Localization With Fuzzy Filter for Autopilot in a Free-Flow Toll Station","volume":"17","author":"Zhang","year":"2020","journal-title":"IEEE Trans. Ind. Inf."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"12374","DOI":"10.1109\/TVT.2021.3116110","article-title":"A Verification Method for Traffic Radar-Based Speed Meter With Target Position Determination in Road Vehicle Speeding Enforcement","volume":"70","author":"Du","year":"2021","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"616","DOI":"10.1109\/TIV.2020.3003699","article-title":"Intelligent vehicle self-localization based on double-layer features and multilayer LIDAR","volume":"5","author":"Wang","year":"2020","journal-title":"IEEE Trans. Intell. Veh."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"5719","DOI":"10.1109\/TVT.2021.3073682","article-title":"Vehicle localization via cooperative channel mapping","volume":"70","author":"Chu","year":"2021","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"3782","DOI":"10.1109\/TWC.2020.2978479","article-title":"5G mmWave cooperative positioning and mapping using multi-model PHD filter and map fusion","volume":"19","author":"Kim","year":"2020","journal-title":"IEEE Trans. Wireless Commun."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2148","DOI":"10.1109\/JSAC.2017.2719998","article-title":"Millimeter-wave V2V communications: Distributed association and beam alignment","volume":"35","author":"Perfecto","year":"2017","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2353","DOI":"10.1109\/TITS.2017.2787101","article-title":"Vehicle tracking using surveillance with multimodal data fusion","volume":"19","author":"Zhang","year":"2018","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"5138","DOI":"10.1109\/TIM.2019.2955798","article-title":"Constrained MEMS-based GNSS\/INS tightly coupled system with robust Kalman filter for accurate land vehicular navigation","volume":"69","author":"Wang","year":"2019","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"124323","DOI":"10.1109\/ACCESS.2020.3006210","article-title":"Multi-Agent Collaborative GNSS\/Camera\/INS Integration Aided by Inter-Ranging for Vehicular Navigation in Urban Areas","volume":"8","author":"Wen","year":"2020","journal-title":"IEEE Access"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"11781","DOI":"10.1109\/JSEN.2020.3003121","article-title":"Multi-modal sensor fusion-based deep neural network for end-to-end autonomous driving with scene understanding","volume":"21","author":"Huang","year":"2020","journal-title":"IEEE Sens. J."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Tang, C., Wang, Y., Zhang, L., Zhang, Y., and Song, H. (2022). Multisource Fusion UAV Cluster Cooperative Positioning Using Information Geometry. Remote Sens., 14.","DOI":"10.3390\/rs14215491"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Wang, G., Chong, P.H.J., and Seet, B.C. (2018, January 14\u201316). The Vehicle Trajectory Estimation Method Based on the Information Fusion. Proceedings of the 2018 IEEE 4th Information Technology and Mechatronics Engineering Conference (ITOEC), Chongqing, China.","DOI":"10.1109\/ITOEC.2018.8740664"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Wang, W., Sun, H., Jin, Y., Fu, M., Li, K., and Zhang, W.A. (2021, January 29\u201331). Low-speed Unmanned Vehicle Localization Based on Sensor Fusion of Low-cost Stereo Camera and IMU. Proceedings of the 2021 5th CAA International Conference on Vehicular Control and Intelligence (CVCI), Tianjin, China.","DOI":"10.1109\/CVCI54083.2021.9661165"},{"key":"ref_20","unstructured":"Shien, C., Huang, C., Liu, J., Chen, X., Weijinya, U., and Shi, G. (November, January 31). Integrated navigation accuracy improvement algorithm based on multi-sensor fusion. Proceedings of the 2nd IEEE International Conference on Micro\/Nano Sensors for Al, Healthcare, and Robotics (NSENS), Shenzhen, China."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2347","DOI":"10.1109\/TII.2020.2998107","article-title":"A novel visual measurement framework for land vehicle positioning based on multimodule cascaded deep neural network","volume":"17","author":"Zheng","year":"2020","journal-title":"IEEE Trans. Ind. Inf."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Tang, C., Wang, C., Zhang, L., Zhang, Y., and Song, H. (2021). Geometric-Manifold-Assisted Distributed Navigation Probabilistic Information Fusion Cooperative Positioning Algorithm. Remote Sens., 13.","DOI":"10.3390\/rs13244987"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Wang, F., Yin, G., Xu, L., Zhuang, W., Liu, Y., and Liang, J. (2021, January 29\u201331). Distance-Based Cooperative Localization of Connected Vehicles Via Convex Relaxation Under Extreme Environments. Proceedings of the 2021 5th CAA International Conference on Vehicular Control and Intelligence (CVCI), Tianjin, China.","DOI":"10.1109\/CVCI54083.2021.9661208"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"106625","DOI":"10.1016\/j.ijepes.2020.106625","article-title":"Second-order cone relaxations of the optimal power flow for active distribution grids: Comparison of methods","volume":"127","author":"Bobo","year":"2021","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Tang, C., Zhang, L., Zhang, Y., and Song, H. (2018). Factor graph-assisted distributed cooperative positioning algorithm in the GNSS system. Sensors, 18.","DOI":"10.3390\/s18113748"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"3485","DOI":"10.1109\/JIOT.2020.2972337","article-title":"Blockchain-enabled Internet of Vehicles with cooperative positioning: A deep neural network approach","volume":"7","author":"Song","year":"2020","journal-title":"IEEE Internet Things J."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"4326","DOI":"10.1109\/TSP.2021.3095725","article-title":"Target detection within nonhomogeneous clutter via total Bregman divergence-based matrix information geometry detectors","volume":"69","author":"Hua","year":"2021","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"4107","DOI":"10.1109\/TCOMM.2022.3170988","article-title":"Unsupervised Learning Discriminative MIG Detectors in Nonhomogeneous Clutter","volume":"70","author":"Hua","year":"2022","journal-title":"IEEE Trans. Commun."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/23\/6094\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:32:07Z","timestamp":1760146327000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/23\/6094"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12,1]]},"references-count":28,"journal-issue":{"issue":"23","published-online":{"date-parts":[[2022,12]]}},"alternative-id":["rs14236094"],"URL":"https:\/\/doi.org\/10.3390\/rs14236094","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2022,12,1]]}}}