{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:11:50Z","timestamp":1760242310503,"version":"build-2065373602"},"reference-count":14,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2017,4,10]],"date-time":"2017-04-10T00:00:00Z","timestamp":1491782400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>A novel digital compensation scheme is demonstrated to control the gain of the modulation chain and suppress the influence of quantization error on bias. The error produced by the quantization multiplied by the scaling factor is theoretically analyzed. Simulations indicate that the quantization error varies with the input angular velocity and temperature, which is verified by experiments. By switching the integration and compression operations in the modulation chain, this quantization error is reduced, while automatic reset of the digital phase ramp register is achieved. We test the scheme in a fiber optic gyroscope. The test results reveal that the quantization-induced bias is suppressed and the residual bias is two times less than the desired accuracy with data accumulated over one-second sample interval. The scheme is a feasible method to miniaturize fiber optic gyroscope using a totally digital circuit for compensation of the modulation gain.<\/jats:p>","DOI":"10.3390\/s17040823","type":"journal-article","created":{"date-parts":[[2017,4,13]],"date-time":"2017-04-13T02:39:17Z","timestamp":1492051157000},"page":"823","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Novel Compensation Scheme for the Modulation Gain to Suppress the Quantization-Induced Bias in a Fiber Optic Gyroscope"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2540-0778","authenticated-orcid":false,"given":"Xiong","family":"Pan","sequence":"first","affiliation":[{"name":"Institute of Opto-electronics Technology, School of Instrument Science and Opto-electronics Engineering, Beihang University, Beijing 100191, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6560-2163","authenticated-orcid":false,"given":"Pengcheng","family":"Liu","sequence":"additional","affiliation":[{"name":"Institute of Opto-electronics Technology, School of Instrument Science and Opto-electronics Engineering, Beihang University, Beijing 100191, China"}]},{"given":"Shaobo","family":"Zhang","sequence":"additional","affiliation":[{"name":"Institute of Opto-electronics Technology, School of Instrument Science and Opto-electronics Engineering, Beihang University, Beijing 100191, China"}]},{"given":"Jing","family":"Jin","sequence":"additional","affiliation":[{"name":"Institute of Opto-electronics Technology, School of Instrument Science and Opto-electronics Engineering, Beihang University, Beijing 100191, China"}]},{"given":"Ningfang","family":"Song","sequence":"additional","affiliation":[{"name":"Institute of Opto-electronics Technology, School of Instrument Science and Opto-electronics Engineering, Beihang University, Beijing 100191, China"}]}],"member":"1968","published-online":{"date-parts":[[2017,4,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"828","DOI":"10.1016\/j.yofte.2013.08.007","article-title":"The fiber-optic gyroscope: Challenges to become the ultimate rotation-sensing technology","volume":"19","author":"Lefevre","year":"2013","journal-title":"Opt. Fiber Technol."},{"unstructured":"Lefe\u0300vre, H.C. (2014). The Fiber-Optic Gyroscope, Artech House. [2nd ed.].","key":"ref_2"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1117\/12.24730","article-title":"High-dynamic-range fiber gyro with all-digital signal processing","volume":"1367","author":"Lefevre","year":"1990","journal-title":"Proc. SPIE"},{"key":"ref_4","first-page":"348","article-title":"All digital closed-loop fiber optic gyroscope with the second feedback loop","volume":"27","author":"Wang","year":"2005","journal-title":"Piezoelectr. Acoustoopt."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1631","DOI":"10.1007\/s11431-014-5599-9","article-title":"Reduction of nonreciprocal errors in a differential interferometric fiber optical gyroscope using optically differential processing","volume":"57","author":"Zhang","year":"2014","journal-title":"Sci. China Technol. Sci."},{"key":"ref_6","first-page":"167","article-title":"Analysis and compensation of temperature errors for fiber optic gyroscope scale factor","volume":"29","author":"Jin","year":"2008","journal-title":"J. Astronaut."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"214","DOI":"10.1016\/j.optlastec.2012.08.027","article-title":"Tracking algorithm for the gain of the phase modulator in closed-loop optical voltage sensors","volume":"47","author":"Li","year":"2013","journal-title":"Opt. Laser Technol."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/j.yofte.2011.04.001","article-title":"Binary code compression algorithm used for the real time compensation of the modulation error in miniaturized fog","volume":"17","author":"Ma","year":"2011","journal-title":"Opt. Fiber Technol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1117\/12.191837","article-title":"Stochastic and dynamic modeling of fiber gyros","volume":"2292","author":"Bielas","year":"1994","journal-title":"Proc. SPIE"},{"unstructured":"Han, J.L., Ge, S.M., Shen, Y., and Li, X.J. (2006, January 21\u201323). Modeling and simulation of digital closed-loop fiber optic gyroscope. Proceedings of the World Congress on Intelligent Control and Automation, Dalian, China.","key":"ref_10"},{"doi-asserted-by":"crossref","unstructured":"Zhang, Y.G., Gao, Z.X., Wang, G.C., and Gao, W. (2013, January 25\u201327). Modeling and simulation of the second feedback loop for fiber optic gyroscope. Proceedings of the International Symposium on Photoelectronic Detection and Imaging 2013: Fiber Optic Sensors and Optical Coherence Tomography, Beijing, China.","key":"ref_11","DOI":"10.1117\/12.2032953"},{"unstructured":"Pavlath, G.A. (1996, January 5\u20136). Closed-loop fiber optic gyros. Proceedings of the Fiber Optic Gyros: 20th Anniversary Conference, Denver, CO, USA.","key":"ref_12"},{"unstructured":"Meyer-Baese, U. (2011). Digital Signal Processing with Field Programmable Gate Arrays, Tsinghua University Press. [3rd ed.].","key":"ref_13"},{"unstructured":"IEEE (2008). IEEE Std 952\u20131997: IEEE Standard Specification Format Guide and Test Procedure for Single-Axis Interferometric Fiber Optic Gyros, IEEE.","key":"ref_14"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/4\/823\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:32:22Z","timestamp":1760207542000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/4\/823"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4,10]]},"references-count":14,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2017,4]]}},"alternative-id":["s17040823"],"URL":"https:\/\/doi.org\/10.3390\/s17040823","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2017,4,10]]}}}