In order to analyze and process the random error of the fiber optic gyroscope (FOG) and improve its use precision, an error modeling method that combined empirical mode decomposition (EMD) and time series model was proposed. On the basis of the intrinsic mode functions (Imf) which was obtained by empirical mode decomposition, auto-regressive and moving average model (ARMA) modeling is performed hierarchically for each Imf. Then, Kalman filtering is performed layer by layer on the basis of the model to remove the random drift signals from the real angular velocity information. At the end of the algorithm, the signal which had been filtered need to be reorganized, and through the above steps, the conception of analyzing and modeling in connection with the random error of FOG from full frequency's point of view was realized. Compared with other modeling methods, this method has a higher degree of simulation matching to the original data, at the same time, the experimental results have further shown that this method can effectively remove the signal of random drift from the fiber optic gyroscope's output signal and improve its use precision significantly.
Integrated modeling and filtering of fiber optic gyroscope's random errors
First published at:Oct 01, 2018
1 Zhu W B, Liu Y, Chen G L. Fiber optic gyroscope strap-down north-seeker of full face tunnel boring machine[J]. Opto-Electronic Engineering, 2016, 43(10): 1-5. DOI:10.3969/j.issn.1003-501X.2016.10.001
朱文博, 刘宇, 陈根林.全断面掘进机光纤陀螺捷联寻北系统[J].光电工程, 2016, 43(10): 1-5. DOI:10.3969/j.issn.1003-501X.2016.10.001
2 Chen X, Yang J H, Zhou Y L, et al. The application of low-noise DC-DC power source in fiber-optic gyroscope system[J]. Opto-Electronic Engineering, 2018, 45(1): 170517.
3 Narasimhappa M, Nayak J, Terra M H, et al. ARMA model based adaptive unscented fading kalman filter for reducing drift of fiber optic gyroscope[J]. Sensors and Actuators A: Physical, 2016, 251: 42-51. DOI:10.1016/j.sna.2016.09.036
4 Teng F, Jin J, Huang Y L, et al. Noise analysis and measurement of high sensitivity photonic crystal fiber-optic gyroscope[J]. Optical Fiber Technology, 2015, 25: 1-6. DOI:10.1016/j.yofte.2015.06.002
5 Yang J H, Li H Z. Analysis and research of fiber optic gyro drift error based on data mining[J]. Laser Journal, 2016, 37(6): 123-126.
6 Zhao Y X, Li X Y, Liu C X, et al. Comparative research in signal processing of FOG[J]. Journal of Chinese Inertial Technology, 2003, 11(2): 52-56. DOI:10.3969/j.issn.1005-6734.2003.02.012
赵玉新, 李绪友, 刘承香, 等.光纤陀螺信号处理方法的比较研究[J].中国惯性技术学报, 2003, 11(2): 52-56. DOI:10.3969/j.issn.1005-6734.2003.02.012
7 Ma J M, Zhu J H, Xie N, et al. Adaptive filtering for fiber optic gyroscope based on wavelet-ARMA model[J]. Optical Technique, 2016, 42(5): 469-473.
8 Cui B B, Chen X Y, Song R. Application of EMD threshold filtering for fiber optical gyro drift signal de-noising[J]. Acta Optica Sinica, 2015, 35(2): 0207001.
9 Tian Y P, Yang X J, Guo Y Z, et al. Filtering analysis on the random noise of fiber optic guroscope[J]. Acta Optica Sinica, 2015, 35(9): 906006.
10 Chai J X, Wang X L, Wang D, et al. A high precision modeling method for random vibration error of fiber optic gyroscope[J]. Aero Weaponry, 2017(4): 49-54.
11 Wu Z H, Huang N E. A study of the characteristics of white noise using the empirical mode decomposition method[J]. Proceedings: Mathematical, Physical and Engineering Sciences, 2004, 460(2046): 1597-1611. DOI:10.1098/rspa.2003.1221
12 Huang N E, Wu M L, Qu W D, et al. Applications of Hilbert-Huang transform to non-stationary financial Time series analysis[J]. Applied Stochastic Models in Business And Industry, 2003, 19(3): 245-268. DOI:10.1002/(ISSN)1526-4025
13 Yang Y H, Meng C X. Research on the characteristic of bias error and noise analysis method of fiber optic gyroscope[J]. Acta Optica Sinica, 2014, 34(12): 1206006.
14 Bai J Q, Zhang K, Wei Y X. Modeling and analysis of fiber optic gyroscope random drifts[J]. Journal of Chinese Inertial Technology, 2012, 20(5): 621-624. DOI:10.3969/j.issn.1005-6734.2012.05.024
白俊卿, 张科, 卫育新.光纤陀螺随机漂移建模与分析[J].中国惯性技术学报, 2012, 20(5): 621-624. DOI:10.3969/j.issn.1005-6734.2012.05.024
15 IEEE. IEEE standard specification format guide and test procedure for single-axis laser gyros: STD 647—2006[S]. New York: IEEE, 2006.
16 Morrow R B, Heckman D W. High precision IFOG insertion into the strategic submarine navigation system[C]//Proceedings of 1998 Position Location and Navigation Symposium. Palm Springs, CA, USA, 1998: 332-338.
Supported by National Natural Science Foundation of China (61503390)
Get Citation: Liu Wenta, Liu Jieyu, Shen Qiang. Integrated modeling and filtering of fiber optic gyroscope's random errors[J]. Opto-Electronic Engineering, 2018, 45(10): 180082.