基于CEEMD与自适小波阈值组合降噪在OPAX方法的应用

陈克,张晓冬,李宁

振动与冲击 ›› 2021, Vol. 40 ›› Issue (16) : 192-198.

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (16) : 192-198.
论文

基于CEEMD与自适小波阈值组合降噪在OPAX方法的应用

  • 陈克1,2,张晓冬1,李宁1
作者信息 +

Application of CEEMD and adaptive wavelet threshold combined noise reduction in the OPAX method

  • CHEN Ke1,2,ZHANG Xiaodong1,LI Ning1
Author information +
文章历史 +

摘要

针对如何从降噪的角度去提高扩展工况传递路径分析(OPAX)方法的分析精度,提出运用互补集合经验模态分解(CEEMD)与自适小波阈值相结合的降噪方法。采用样本熵将分解后信号的本征模态分量划分为噪声、含噪和信号分量。剔除噪声分量,将不同含噪分量的样本熵归一化后作为调参参数并应用于新构造的小波阈值函数,通过含噪情况调整阈值函数来提高降噪效果,并将降噪后的含噪分量跟信号分量一同重构得到完整信号,运用仿真计算验证上述方法能最大程度保留原始信号的完整性。应用到OPAX模型中,对其工况数据(时域振动信号)进行降噪,与其他降噪方法一同对比发动机二阶情况下目标点的计算的合成响应与实测响应,发现CEEMD与自适小波阈值组合降噪改进的OPAX方法吻合程度较高,效果较优。

Abstract

An improved method based on a combination of the complementary ensemble empirical mode decomposition (CEEMD) and adaptive wavelet threshold noise reduction was proposed for improving the analysis accuracy of operational path analysis with the exogeneous inputs (OPAX) method from the point of noise reduction.Sample entropy was used to divide the Intrinsic Mode Function of the decomposed signal into noise components, noisy components, and signal components.The noise components were eliminated, and the normalized sample entropy of different noisy components as the adjustable parameter was applied in the newly constructed wavelet threshold function to improve the noise reduction effect based on the noisy condition to adjust the threshold function.The noise components after noise reduction and the signal components were reconstructed together to obtain a complete signal, and simulation calculations verified that the above method can preserve the integrity of the original signal to the greatest extent.The method was used in the OPAX model to reduce the noise of its operating condition data (time-domain vibration signal).Compared the composite response and measured response of the target point in the second-order case of the engine with other noise reduction methods, it is found that the composite response in the improved OPAX method on a basis of the method of CEEMD and adaptive wavelet threshold combined noise reduction is very close to with the measured response.

关键词

扩展工况传递路径分析(OPAX)方法 / 样本熵 / 互补集合经验模态分解(CEEMD) / 自适小波阈值降噪

Key words

operational path analysis with exogeneous inputs(OPAX) / sample entropy / complementary ensemble empirical mode decomposition(CEEMD) / wavelet packet threshold noise reduction

引用本文

导出引用
陈克,张晓冬,李宁. 基于CEEMD与自适小波阈值组合降噪在OPAX方法的应用[J]. 振动与冲击, 2021, 40(16): 192-198
CHEN Ke,ZHANG Xiaodong,LI Ning. Application of CEEMD and adaptive wavelet threshold combined noise reduction in the OPAX method[J]. Journal of Vibration and Shock, 2021, 40(16): 192-198

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