N秒平均法与Allan方差法是2种常用的光纤陀螺随机误差性能评价方法,其得到的指标是衡量光纤陀螺性能的重要依据。结合2种性能评价方法的特点,对二者进行了分析与对比,并推导了2种方法所得性能指标的关系表达式:首先从随机信号处理的角度对N秒平均法进行了分析,得到了其幅频响应函数;继而对Allan方差法所辨识的量化噪声、角度随机游走、零偏不稳定性、角速率随机游走、速率斜坡5种随机误差模型进行了分析,并推导了5种随机噪声的N秒平均性能指标。根据俄罗斯产某型号光纤陀螺的随机误差模型进行了仿真,结果表明仿真信号的性能指标与理论推导结论具有较好的一致性。在一定程度上揭示了2种光纤陀螺性能评价方法的内在联系,对2种评价方法的实际应用具有一定指导意义。
N-second averaging method and Allan variance method are two commonly used means of evaluating the per- formances of fiber optical gyro (FOG) stochastic errors. The indices obtained with these two methods provide good ref- erences for measuring FOG performance. Both of the two performance evaluation methods are analyzed and compared according to the characteristics of these two evaluation methods in this paper, and the relation expression between the performances of the two methods is deduced. First, the N-second averaging method is analyzed in the view of stochastic signal processing, and its amplitude-frequency response function is obtained. Then, the five random error models, named quantization noise, angle random walk, bias instability,angle rate random walk and rate ramp identified with the Allan variance method, are analyzed, and their N-second averaging indices are deduced. The simulation experiments on the stochastic error model of a FOG produced in Russia were conducted,and the simulation results indicate that the ob- tained performance indices and theoretical conclusions have good consistency. The internal relation between the two methods is explored in this paper,which supplies a good reference for the applications of the two methods.