摘要
针对单独采用SVD或形态学对故障信号降噪效果不理想的问题,提出一种基于多尺度形态学的SVD降噪方法。首先,在SVD降噪原理上,通过循环矩阵法重构矩阵;其次,针对重构信号矩阵的有效阶次大小会影响消噪效果,在MMRR奇异值比法基础上,采用相邻特征极值的比值作为目标函数,估计有效阶数,确定奇异值有效数进而还原信号;最后,设计一种基于多尺度形态学的SVD滤波器,选择合适的结构元素,并将形态学的开闭运算进行自适应组合。仿真验证表明,该改进方法可以显著提高信噪比,有效滤除故障信号中的冲击信号、白噪声等,较单独的SVD或形态学降噪方法抗噪能力强,具有一定工程应用价值。
Aiming at the problem that the noise reduction effect of fault signal is not ideal by only using SVD or morphology an SVD noise reduction method based on multiscale morphology was proposed.Firstly based on the principle of SVD noise reduction the matrix was reconstructed by using the circulant matrix method.Secondly considering that the effective order size of the reconstructed signal matrix may affect the denoising effect and based on the MMRR singular value ratio method the ratio between the adjacent feature extremums is used as the objective function for estimating the effective order determining the significant figure of the singular value and restoring the signal.Finally an SVD filter based on multi-scale morphology was designed the appropriate structural elements were selected and the morphological opening and closing operations were adaptively combined.The simulation results show that the improved method can significantly improve the signal-to-noise ratio and effectively filter out the impact signal and white noise in the fault signal.Compared with the single SVD or morphological noise reduction method it has stronger anti-noise ability and has certain engineering application value.
作者
万月丰
江驹
甄子洋
朱平
WAN Yuefeng;JIANG Ju;ZHEN Ziyang;ZHU Ping(College of Automation Engineering Nanjing University of Aeronautics and Astronautics,Nanjing 210016 China)
出处
《电光与控制》
CSCD
北大核心
2020年第1期21-25,共5页
Electronics Optics & Control
基金
国家自然科学基金(61673209)
江苏省研究生科研与实践创新计划项目基金(KYCX18_0303)
