{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,23]],"date-time":"2026-02-23T04:39:38Z","timestamp":1771821578653,"version":"3.50.1"},"reference-count":22,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2024,8,6]],"date-time":"2024-08-06T00:00:00Z","timestamp":1722902400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2022YFB3904300"],"award-info":[{"award-number":["2022YFB3904300"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["62203216"],"award-info":[{"award-number":["62203216"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["BK20220886"],"award-info":[{"award-number":["BK20220886"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["U2233215"],"award-info":[{"award-number":["U2233215"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Natural Science Youth Foundation of China","award":["2022YFB3904300"],"award-info":[{"award-number":["2022YFB3904300"]}]},{"name":"National Natural Science Youth Foundation of China","award":["62203216"],"award-info":[{"award-number":["62203216"]}]},{"name":"National Natural Science Youth Foundation of China","award":["BK20220886"],"award-info":[{"award-number":["BK20220886"]}]},{"name":"National Natural Science Youth Foundation of China","award":["U2233215"],"award-info":[{"award-number":["U2233215"]}]},{"name":"Natural Science Youth Foundation of Jiangsu Province","award":["2022YFB3904300"],"award-info":[{"award-number":["2022YFB3904300"]}]},{"name":"Natural Science Youth Foundation of Jiangsu Province","award":["62203216"],"award-info":[{"award-number":["62203216"]}]},{"name":"Natural Science Youth Foundation of Jiangsu Province","award":["BK20220886"],"award-info":[{"award-number":["BK20220886"]}]},{"name":"Natural Science Youth Foundation of Jiangsu Province","award":["U2233215"],"award-info":[{"award-number":["U2233215"]}]},{"name":"Key Program of National Natural Science Foundation of China","award":["2022YFB3904300"],"award-info":[{"award-number":["2022YFB3904300"]}]},{"name":"Key Program of National Natural Science Foundation of China","award":["62203216"],"award-info":[{"award-number":["62203216"]}]},{"name":"Key Program of National Natural Science Foundation of China","award":["BK20220886"],"award-info":[{"award-number":["BK20220886"]}]},{"name":"Key Program of National Natural Science Foundation of China","award":["U2233215"],"award-info":[{"award-number":["U2233215"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>During civil aviation flights, the aircraft needs to accurately monitor the real-time navigation capability and determine whether the onboard navigation system performance meets the required navigation performance (RNP). The airborne flight management system (FMS) uses actual navigation performance (ANP) to quantitatively calculate the uncertainty of aircraft position estimation, and its evaluation accuracy is highly dependent on the position estimation covariance matrix (PECM) provided by the airborne integrated navigation system. This paper proposed an adaptive PECM estimation method based on variational Bayes (VB) to solve the problem of ANP misevaluation, which is caused by the traditional simple ANP model failing to accurately estimate PECM under unknown time-varying noise. Combined with the 3D ANP model proposed in this paper, the accuracy of ANP evaluation can be significantly improved. This enhancement contributes to ensured navigation integrity and operational safety during civil flight.<\/jats:p>","DOI":"10.3390\/s24165093","type":"journal-article","created":{"date-parts":[[2024,8,6]],"date-time":"2024-08-06T15:24:16Z","timestamp":1722957856000},"page":"5093","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Adaptive Navigation Performance Evaluation Method for Civil Aircraft Navigation Systems with Unknown Time-Varying Sensor Noise"],"prefix":"10.3390","volume":"24","author":[{"given":"Yuting","family":"Dai","sequence":"first","affiliation":[{"name":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, No. 29 General Avenue, Nanjing 211106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jizhou","family":"Lai","sequence":"additional","affiliation":[{"name":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, No. 29 General Avenue, Nanjing 211106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qieqie","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, No. 29 General Avenue, Nanjing 211106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhimin","family":"Li","sequence":"additional","affiliation":[{"name":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, No. 29 General Avenue, Nanjing 211106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rui","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, No. 29 General Avenue, Nanjing 211106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,8,6]]},"reference":[{"key":"ref_1","unstructured":"International Civil Aviation Organization (ICAO) (2016). 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