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Although rotation modulation can suppress the navigation error caused by scale factor error and bias error in a static condition, it cannot suppress the scale factor errors thoroughly during the maneuvering process of the vehicle due to the two degrees of rotation freedom. The self-calibration method has been studied by many researchers. However, traditional calibration methods need several hours to converge, which is unable to meet the demand for quick response to positioning and orientation. To solve the above problems, we do the following work in this study: (1) we propose a 39-dimensional online calibration Kalman filtering (KF) model to estimate all calibration parameters; (2) Error relationship between calibration parameters error and navigation error are derived; (3) A backtracking filtering scheme is proposed to shorten the calibration process. Experimental results indicate that the proposed method can shorten the calibration process and improve the calibration accuracy simultaneously.<\/jats:p>","DOI":"10.3390\/s22135036","type":"journal-article","created":{"date-parts":[[2022,7,4]],"date-time":"2022-07-04T23:38:55Z","timestamp":1656977935000},"page":"5036","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["An Improved Online Fast Self-Calibration Method for Dual-Axis RINS Based on Backtracking Scheme"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8482-4047","authenticated-orcid":false,"given":"Jing","family":"Li","sequence":"first","affiliation":[{"name":"Information Engineering College, Beijing Institute of Petrochemical Technology, Beijing 102617, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lichen","family":"Su","sequence":"additional","affiliation":[{"name":"School of Automation Science and Electrical Engineering, Beihang University, Beijing 100083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6170-0463","authenticated-orcid":false,"given":"Fang","family":"Wang","sequence":"additional","affiliation":[{"name":"Information Engineering College, Beijing Institute of Petrochemical Technology, Beijing 102617, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kailong","family":"Li","sequence":"additional","affiliation":[{"name":"China Intelligent Transpation Systems Association, Beijing 100070, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lili","family":"Zhang","sequence":"additional","affiliation":[{"name":"Information Engineering College, Beijing Institute of Petrochemical Technology, Beijing 102617, China"},{"name":"Xufeng Technology Co., Ltd., Yinchuan 750011, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3301","DOI":"10.1007\/s00542-016-3171-1","article-title":"Calibration and data processing technology of gyroscope in dual axis rotational inertial navigation system","volume":"23","author":"Jing","year":"2017","journal-title":"Microsyst. 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