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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。
Aiming at the non-stationary characteristics that the classic Allan variance can not reflect the random error of FOG, the dynamic Allan variance (DAVAR) can reflect but does not prove the validity and validity theoretically and systematically. The correctness of DAVAR is verified by simulation data Using the experimental data to analyze the dynamic characteristics of fiber optic gyroscope noise with time, the validity of DAVAR is proved. Firstly, the mathematical definitions of the Allan variance and the dynamic Allan variance are expounded. Then, the simulation and experimental data are used to verify their characteristics and the quantitative two-dimensional description of the FOG’s noise is achieved. The experimental results show that DAVAR can not only identify and separate the random errors of FOG but also determine the noise figure. More importantly, it can describe the dynamic characteristics of FOG random signals. DAVAR is therefore a more comprehensive, effective and practical tool for analyzing fiber optic gyroscope features.