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为解决Allan方差计算的平均时间只能够达到数据持续时间长度的一半,以及长相关时间下置信度较低的问题,根据光纤陀螺随机误差信号的频率特性,提出了采用#1理论方差对光学陀螺的随机误差特性进行分析的方法。分析比较了Allan方差和#1理论方差的性质和特点,并对比了两者分析白噪声特性以及辨识光纤陀螺实测数据中随机噪声的类型和噪声水平的结果。结果表明,当相关时间较长时,#1理论方差值和实际的幂律谱噪声的行为特征不仅一致;且能够比Allan方差更有效提高方差估计值的置信度,估计精度优于Allan方差方法。
In order to solve the problem that the average calculation time of Allan variance can only reach half of the data duration and the low confidence in long correlation time, according to the frequency characteristics of random error signal of fiber optic gyroscope, Of the random error characteristics of the method of analysis. The properties and features of Allan variance and # 1 theoretical variance are analyzed and compared. The results of the analysis of the white noise characteristics and the identification of the types and levels of random noise in the measured data of FOG are contrasted. The results show that when the correlation time is long, the behavioral characteristics of the # 1 theoretical variance and the actual power spectrum noise are not only the same; the confidence of the variance estimation can be more effectively improved than the Allan variance, the estimation accuracy is better than that of Allan variance method.