基于动态Allan 方差的光纤陀螺随机误差分析

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。

Dynamic Allan variance analysis for stochastic errors of fiber optic gyroscope

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.