Dynamic Allan variance analysis for stochastic errors of fiber optic gyroscope
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摘要: 针对经典Allan方差不能反映光纤陀螺(FOG)随机误差的非平稳特性,动态Allan 方差(DAVAR)可以反映但没有理论系统地证明其正确性和有效性的问题,通过仿真数据验证了DAVAR 的正确性;利用实验数据分析光纤陀螺噪声随时间变化的动态特性,证明了DAVAR 的有效性。首先,阐述了经典Allan 方差和动态Allan 方差的数学定义,然后利用仿真和实验数据验证其特征,并实现了光纤陀螺噪声的定量二维描述。实验结果表明:DAVAR 不仅可以辨识和分离光纤陀螺随机误差,还可以确定噪声系数,更重要的是可以描述光纤陀螺随机信号动态特性。因此,DAVAR 是分析光纤陀螺特性更加全面、有效且实用的工具。
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关键词:
- 光纤陀螺 /
- 随机误差 /
- Allan 方差 /
- 动态Allan 方差
Abstract: In allusion that classical Allan variance cannot highlight the nonstationary of stochastic errors of Fiber Optical Gyroscope (FOG), and Dynamic Allan Variance (DAVAR) can, but there was no theory which proved the validity and the effectiveness of DAVAR systematically. The DAVAR, a measure of the time -varying stability of FOG was presented and discussed. First, the classical Allan variance and DAVAR were mathematically defined, and then their behaviors were extensively tested on simulated and experimental FOG output signal. What' s more, FOG stochastic errors changes were quantitatively described by a two-dimensional method. Results prove the validity and effectiveness of the proposed new tool using for analyzing the stochastic errors of FOG. DAVAR analysis method not only can determine the coefficients of FOG stochastic error, but also can describe their non -stationary. DAVAR is a more comprehensive, more effective and more useful tool for judging FOG performance.-
Key words:
- FOG /
- random error /
- Allan variance /
- DAVAR
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[1] Lefevre H C. Zhang Guicai, Wang Wei. Fiber OpticGyroscope [M]. Beijing: National Defence Industry Press,2002. (in Chinese) [2] [3] [4] Stein S R. The Allan variance-challenges and opportunities[J]. IEEE Transactions on Ultrasonics, Ferroelectrics, andFrequency Control, 2010, 57(3): 540-547. [5] [6] Lorenzo Galleani, Patrizia Tavella. Tracking nonstationarities inclock noises using the dynamic Allan variance [C]//SPIE,Proc Joint FCS-PTTI Meeting, 2005: 392-396. [7] [8] Lorenzo Galleani, Patrizia Tavella. The Dynamic Allanvariance [J]. IEEE Transactions on Ultrasonics,Ferroelectrics, and Frequency Control, 2009, 56(3): 540-547. [9] [10] Lorenzo Galleani, Patrizia Tavella. Fast computation of thedynamic Allan variance [C]//SPIE, Proc IEEE FCS-EFTF,2009: 685-687. [11] [12] Lorenzo Galleani. T he dynamic Allan variance II: A fastcomputational algorithm [J]. IEEE Transactions onUltrasonics, Ferroelectrics, and Frequency Control, 2009, 57(1): 182-188. [13] Lorenzo Galleani. The dynamic Allan variance III: confidenceand detection surfaces [J]. IEEE Transactions onUltrasonics, Ferroelectrics, and Frequency Control, 2011, 58(8): 1550-1558. [14] [15] [16] Wei Guo, Long Xingwu. Research on Stochastic errors ofdithered ring laser gyroscope based on dynamic allan variance[J]. Chinese Jounal of Lasers, 2010, 37 (12): 2975-2979.(in Chinese) [17] Li Ying, Chen Xinglin, Song Shenmin. Dynamic Allanvariance analysis for the drift error of fiber optical gyroscope[J]. Journal of OptoelectronicsLaser, 2008, 19 (2): 183-186.(in Chinese) [18] [19] Li Xuyou, Zhang Na. Analysis of dynamic characteristics ofa fiber optic gyroscope based on dynamic Allan variance [J].Journal of Harbin Engineering University, 2011, 32 (2):183-187. (in Chinese) [20] [21] [22] Zhang Na, Li Xuyou. Research on theoretical improvement ofdynamic Allan variance and its application [J]. Acta OpticaSinica, 2011, 31(11): 1-6. (in Chinese) [23] Xiong Kai, Lei Yongjun, Zeng Haibo. Modeling andsimulation of fiber optic gyros based on allan variancemethod [J]. Aerospace Control and Application, 2010, 36(3): 7-13. (in Chinese)
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