基于小波方差的光学陀螺随机误差特性研究

Allan方差法是对光学陀螺随机误差频率稳定性进行分析的一种通用方法。根据光学陀螺信号零漂移的频率特性,提出了利用小波变换所具有的时频局部化的优点对其随机过程进行小波方差分析。由于小波方差可以更好地防止能量泄露,所以小波方差比Allan方差更为精确。经过对光学陀螺零漂数据的方差分析证明了Allan方差和小波方差法的一致性,并且小波方差更能准确地描述不同频率的方差变化。

Investigation on Random Error Properties of Optic Gyro Based on Wavelet Variance

Allan variance is a useful tool for analyzing the frequency stability of optic gyro random errors. According to the properties of bias drift of optic gyro, the wavelet transform is used to study the wavelet variance of random process. The properties of a time series can be summarized by the wavelet variance on a scale by scale bases. For giving better protection against leakage, the wavelet variance can be used to provide more accurate conversion between the time and frequency domains than that using Allan variance. Experiments demonstrate the correspondence of wavelet variance with Allan variance for random process, but wavelet variance is more accurate in frequency domain.