复合层次模糊熵及其在滚动轴承故障诊断中的应用

针对样本熵和多尺度熵中相似性度量函数的突变问题，及它们在分析时间序列复杂性时捕捉不到高频组分信息的局限，提出了一种新的时间序列的复杂性度量方法--复合层次模糊熵(CHFE)。为了有效地提取滚动轴承早期故障特征，提出了一种基于CHFE、拉普拉斯分值和支持向量机的滚动轴承故障诊断方法。首先，提取振动信号的CHFE值；其次，采用拉普拉斯分值对特征向量进行降维优化；再次，建立基于支持向量机的多故障分类器，实现滚动轴承的故障诊断；最后，将该方法应用于实验数据分析，结果验证了方法的有效性。

Composite Hierarchical Fuzzy Entropy and Its Applications to Rolling Bearing Fault Diagnosis

Since the similarity measure in sample entropy and MSE changed abruptly and MSE might not capture high-frequency informations, a new method for measuring complexity of time series called CHFE was proposed. Meanwhile, in order to extract the early fault features of rolling bearings, a new fault diagnosis method was proposed  based on CHFE, Laplace score for feature selection and support vector machine(SVM). First, the CHFEs were extracted from vibration signals of rolling bearing and then the Laplacian score was used to reduce dimension of features. Next, the SVM based multi-fault classifier was founded to fulfill the fault diagnosis. Finally, the proposed method was applied to experimental data analysis and the results indicate the validity.