An improved method to eliminate modal aliasing and false component in blast vibration signals
LI Qing1, XU Wenlong1, ZHANG Di2, LI Na1, FENG Dandan1
1.School of Mechanics and Civil Engineering, China University of Mining & Technology (Beijing), Beijing 100083, China;
2.School of Civil Engineering， Guangzhou University, Guangzhou 510006, China
摘要针对CEEMD (Complementary Ensenble Empirical Model Decomposition)方法在处理爆破振动信号中模态混叠和虚假分量问题方面的局限性，提出一种改进的解相关CEEMD方法。第一，对信号端点进行特殊处理后，采用CEEMD对信号进行分解；第二，求取各IMF分量信号与原信号的相关系数及其频谱图，共同判定虚假分量；第三，将虚假分量与主分量相加后，通过解相关计算消除模态混叠。仿真信号的CEEMD分解结果以及相关系数与能量插值计算表明，改进的解相关CEEMD方法分解精度比EMD(Empirical Model Decomposition)和CEEMD高，有效抑制了信号模态混叠现象，能够避免直接处理虚假分量而带来的能量损失。应用于爆破振动信号分解，基本保证了各IMF分量非主频率信号的能量比例较低。改进方法有效消除了爆破振动信号的模态混叠和虚假分量现象。
Aiming at limitations of the complementary ensemble empirical mode decomposition (CEEMD) method in dealing with problems of modal aliasing and false components of blast vibration signals, an improved solution correlation CEEMD method was proposed.Firstly, after specially processing a signal’s end point, CEEMD was used to decompose the signal.Secondly, correlation coefficient between each IMF component and the original signal and its frequency spectrum were solved to judge false component.Thirdly, after false components and principal components were added, the solution correlation calculation was done to eliminate modal aliasing.The decomposing results of simulated signals with CEEMD as well as correlation coefficients and energy interpolation calculation showed that the decomposition accuracy of the improved solution correlation CEEMD method is higher than those of EMD and CEEMD to effectively suppress signals’ mode aliasing phenomenon, and avoid energy loss brought by directly processing false components; after this method was applied to decompose a blast vibration signal, the energy proportion of non-main frequency parts in each IMF component is basically kept to be lower; so, the improved method can effectively eliminate modal aliasing and false component phenomenon in blast vibration signals.
李清1，徐文龙1，张迪2，李娜1，冯丹丹1. 爆破振动信号分析中模态混叠和虚假分量消除的改进方法[J]. 振动与冲击, 2019, 38(17): 197-204.
LI Qing1, XU Wenlong1, ZHANG Di2, LI Na1, FENG Dandan1. An improved method to eliminate modal aliasing and false component in blast vibration signals. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(17): 197-204.
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