基于SVD分解和小波去噪的振动位移提取

Vibration Displacement Extraction Based on SVD Decomposition and Wavelet Denoising

针对奇异值分解提取振动位移信号中存在白噪声的问题,提出采用小波去噪的方法进行信号去噪处理。首先采用奇异值分解提取图像序列中的振动信息;然后采用小波去噪方法进行去噪处理,针对传统固定阈值会导致每层小波分解系数做同样处理的问题,提出了一种改进型阈值;最后通过对比不同小波函数的去噪效果,确定最优小波函数。仿真和实验结果表明,该方法是有效的。

Aiming at the problem of white noise in the vibration displacement signal extracted by singular value decomposition,a wavelet denoising method is proposed to denoise the signal.Firstly,the singular value decomposition is used to extract the vibration information in the image sequence.Then the wavelet denoising method is used for denoising.Aiming at the problem that the traditional fixed threshold will cause the wavelet decomposition coefficients of each layer to do the same processing,an improved threshold is proposed.Finally,the optimal wavelet function is determined by comparing the denoising effects of different wavelet functions.Simulation and experimental results show that the method is effective.