{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:09:22Z","timestamp":1760148562697,"version":"build-2065373602"},"reference-count":20,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2023,5,18]],"date-time":"2023-05-18T00:00:00Z","timestamp":1684368000000},"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":["2020YFB2009200","JSJL2019205A002"],"award-info":[{"award-number":["2020YFB2009200","JSJL2019205A002"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Defense Industrial Technology Development Program of China","award":["2020YFB2009200","JSJL2019205A002"],"award-info":[{"award-number":["2020YFB2009200","JSJL2019205A002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The total harmonic distortion (THD) index and its calculation methods are presented to calibrate the sinusoidal motion of the low-frequency angular acceleration rotary table (LFAART) and make up the incomprehensive evaluation based on the angular acceleration amplitude and frequency error indexes. The THD is calculated from two measurement schemes: a unique scheme combining the optical shaft encoder and the laser triangulation sensor and a regular scheme using the fiber optical gyroscope (FOG). An improved reversing moments recognition method is presented to upgrade the accuracy of solving the angular motion amplitude based on optical shaft encoder output. The field experiment shows that the difference in the THD values achieved using the combining scheme and FOG is within 0.11% when the signal-to-noise ratio of the FOG signal is higher than 7.7 dB, indicating the accuracy of the proposed methods and the feasibility of taking THD as the index.<\/jats:p>","DOI":"10.3390\/s23104876","type":"journal-article","created":{"date-parts":[[2023,5,18]],"date-time":"2023-05-18T10:17:26Z","timestamp":1684405046000},"page":"4876","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Methods for Comprehensive Calibration of a Low-Frequency Angular Acceleration Rotary Table"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8596-3073","authenticated-orcid":false,"given":"Renjian","family":"Feng","sequence":"first","affiliation":[{"name":"Key Laboratory of Education Ministry for Precision Opto-Mechatronics Technology, Beijing 100191, China"},{"name":"School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China"}]},{"given":"Jiaxuan","family":"Yan","sequence":"additional","affiliation":[{"name":"Key Laboratory of Education Ministry for Precision Opto-Mechatronics Technology, Beijing 100191, China"},{"name":"School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China"}]},{"given":"Yinfeng","family":"Wu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Education Ministry for Precision Opto-Mechatronics Technology, Beijing 100191, China"},{"name":"School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6532-3770","authenticated-orcid":false,"given":"Ning","family":"Yu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Education Ministry for Precision Opto-Mechatronics Technology, Beijing 100191, China"},{"name":"School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China"}]},{"given":"Xudong","family":"Yin","sequence":"additional","affiliation":[{"name":"Key Laboratory of Education Ministry for Precision Opto-Mechatronics Technology, Beijing 100191, China"},{"name":"School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Ermakov, R.V., Kalihman, D.M., L\u2019Vov, A.A., and Sokolov, D.N. (2017, January 1\u20133). Angular Velocity Estimation of Rotary Table Bench Using Aggregate Information from the Sensors of Different Physical Nature. Proceedings of the 2017 IEEE Russia Section Young Researchers in Electrical and Electronic Engineering Conference (EIConRus), St. Petersburg, Russia.","DOI":"10.1109\/EIConRus.2017.7910683"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"4131","DOI":"10.1109\/JSEN.2019.2963538","article-title":"Toward Calibration of Low-Precision MEMS IMU Using a Nonlinear Model and TUKF","volume":"20","author":"Ghanipoor","year":"2020","journal-title":"IEEE Sens. J."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Wang, F., Cao, J., Wu, M., and Guo, Y. (2016, January 1\u20133). Accelerometer calibration optimal design based on high-precision three-axis turntable. Proceedings of the 2016 IEEE International Conference on Information and Automation (ICIA), Ningbo, China.","DOI":"10.1109\/ICInfA.2016.7832152"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Bo, X., and Feng, S. (2009, January 1\u20132). A FOG Online Calibration Research Based on High-precision three-axis Turntable. Proceedings of the International Asia Conference on Informatics in Control, Automation and Robotics, Bangkok, Thailand.","DOI":"10.1109\/CAR.2009.48"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Wang, H.Y., Xue, Z., Shen, N., and Huang, Y. (2014, January 8\u201310). Calibration of a high precision rotary table. Proceedings of the 9th International Symposium on Precision Engineering Measurements and Instrumentation (ISPEMI), Changsha, China.","DOI":"10.1117\/12.2181236"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1016\/j.ijmachtools.2014.11.008","article-title":"Identification and compensation of geometric errors of rotary axes on five-axis machine by on-machine measurement","volume":"89","author":"Bi","year":"2015","journal-title":"Int. J. Mach. Tools Manuf."},{"key":"ref_7","unstructured":"(2015). Verification Regulation of Standard Vibrators, 1st ed (Standard No. JJG 298-2015)."},{"key":"ref_8","unstructured":"(2006). Methods for the Calibration of Vibration and Shock Transducers\u2014Part 15: Primary Angular Vibration Calibration by Laser Interferometry, 1st ed (Standard No. ISO 16063-15 (2006))."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1010513","DOI":"10.1109\/TIM.2021.3120800","article-title":"A Calibration Scheme With Combination of the Optical Shaft Encoder and Laser Triangulation Sensor for Low-Frequency Angular Acceleration Rotary Table","volume":"70","author":"Yan","year":"2021","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_10","unstructured":"(2017). IEEE Standard for Digitizing Waveform Recorders (Standard No. IEEE Std 1057-2017)."},{"key":"ref_11","unstructured":"(2008). Calibration Specification for Rate Table, 1st ed (Standard No. JJF 1210-2008)."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"15308","DOI":"10.1109\/JSEN.2021.3072641","article-title":"Research on Field Application Technology of Dynamic Angle Measurement Based on Fiber Optic Gyroscope and Autocollimator","volume":"21","author":"Mou","year":"2021","journal-title":"IEEE Sens. J."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"107399","DOI":"10.1016\/j.measurement.2019.107399","article-title":"On-machine calibration of angular position and runout of a precision rotation stage using two absolute position sensors","volume":"153","author":"Kim","year":"2020","journal-title":"Measurement"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Ai, H., and Cao, Y. (2014, January 8\u201310). Calibration of rotary table by whole combination measuring method. Proceedings of the 9th International Symposium on Precision Engineering Measurements and Instrumentation (ISPEMI), Changsha, China.","DOI":"10.1117\/12.2181963"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Kazemirova, Y., Podzorova, V., Anuchin, A., Lashkevich, M., Aliamkin, D., and Vagapov, Y. (2019, January 3\u20136). Speed Estimation Applying Sinc-filter to a Period-based Method for Incremental Position Encoder. Proceedings of the 54th International Universities Power Engineering Conference (UPEC), Bucharest, Romania.","DOI":"10.1109\/UPEC.2019.8893535"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"He, X., Wang, A., Zhou, T., Zhao, X., and Yu, N. (2020, January 15\u201317). High Precision Measurement of Dynamic Angular Rate for Turntable in the Calibration Application of Airborne Inertial Sensor. Proceedings of the 2020 International Conference on Sensing, Measurement & Data Analytics in the Era of Artificial Intelligence (ICSMD), Xi\u2019an, China.","DOI":"10.1109\/ICSMD50554.2020.9261686"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"8778","DOI":"10.1109\/TIE.2019.2949517","article-title":"Precise Phase Demodulation Algorithm for Sinusoidal Encoders and Resolvers","volume":"67","author":"Ye","year":"2020","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/j.sna.2015.04.021","article-title":"Improved hybrid filter for fiber optic gyroscope signal denoising based on EMD and forward linear prediction","volume":"230","author":"Cui","year":"2015","journal-title":"Sens. Actuators A-Phys."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2190","DOI":"10.1016\/j.measurement.2011.07.016","article-title":"EMD- and LWT-based stochastic noise eliminating method for fiber optic gyro","volume":"44","author":"Dang","year":"2011","journal-title":"Measurement"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Liu, C.C., Yang, Z.Q., Shi, Z., Ma, J., and Cao, J. (2019). A Gyroscope Signal Denoising Method Based on Empirical Mode Decomposition and Signal Reconstruction. Sensors, 19.","DOI":"10.3390\/s19235064"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/10\/4876\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T19:37:54Z","timestamp":1760125074000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/10\/4876"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,18]]},"references-count":20,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2023,5]]}},"alternative-id":["s23104876"],"URL":"https:\/\/doi.org\/10.3390\/s23104876","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2023,5,18]]}}}