CEEMDAN与小波变换混合去噪方法在光纤陀螺监测系统信号去噪中的应用

Application of de-noising method mixed with CEEMDAN and wavelet transform to signal de-noising for fiber optic gyro monitoring system

为了有效降低噪声对光纤陀螺监测系统实测信号的影响,提出基于CEEMDAN与小波变换混合去噪的方法。先将信号进行CEEMDAN分解,得到一系列IMF分量,计算每一个IMF分量与原始信号的相关系数,利用相关系数的大小筛选出主要的IMF分量。结合小波变换,对筛选出的IMF分量进行降噪处理,最后进行信号重构。引入含噪信号与降噪误差比和均方误差两个指标来判断降噪效果,利用单一的小波变换、CEEMDAN方法、CEEMDAN与小波变换混合去噪三种方法对仿真信号和实测信号进行分析。结果表明,基于CEEMDAN与小波变换混合去噪方法的去噪效果最好,有效地降低了噪声对真实信号的影响,去噪后的信号能准确地表征真实信号的变化特征。该方法非常适合光纤陀螺监测系统的信号去噪,能进一步提高光纤陀螺监测系统的测量精度。

In order to effectively reduce the impact from noise on the measured signal of fiber optic gyro monitoring system,a CEEMDAN and wavelet transform mixing-based de-noising method is put forward herein.At first,the signal is decomposed by CEEMDAN to get a series of IMF components,and then the correlative coefficients of all the IMF components and original signals are calculated,from which the main IMF components are screened out with the magnitude of the correlative coefficient.Combined with wavelet transform,the screened IMF components is de-noised,while the signal reconstruction is made at last.The de-noising effect is judged by introducing two indexes,i.e.the signal containing noise-de-noising error ratio and the mean-square error,and then the simulated signal and measured signal are analyzed through the three methods,i.e.single wavelet transform,CEEMDAN and the de-noising method mixed with CEEMDAN and wavelet transform.The result shows that the de-noising effect of the CEEMDAN and wavelet transform mixing-based de-noising method is the best,which effectively decreases the impact from noise on the real signal,while the variation characteristics of the real signal can be accurately characterized by the de-noised signal.The method is quite suitable for the signal de-noising of fiber optic gyro monitoring system,thus can further improve the measurement accuracy of fiber optic gyro monitoring system as well.