Abstract
Self-adaptive methods are recognized as important tools in signal process and analysis. A signal can be decomposed into a serious of new components with these mentioned methods, thus the amount of information is also increased. In order to use these components effectively, a feature set is used to describe them. With the development of pattern recognition, the analysis of self-adaptive components is becoming more intelligent and depend on feature sets. Thus, a new feature is proposed to express the signal based on the hidden property between extreme values. In this investigation, the components are first simplified through a symbolization method. The entropy analysis is incorporated into the establishment of the characteristics to describe those self-adaptive decomposition components according to the relationship between extreme values. Subsequently, Extreme Interval Entropy is proposed and used to realize the pattern recognition, with two typical self-adaptive methods, based on both Empirical Mode Decomposition (EMD) and Empirical Wavelet Transform (EWT). Later, extreme interval entropy is applied in two fault diagnosis experiments. One experiment is the fault diagnosis for rolling bearings with both different faults and damage degrees, the other experiment is about rolling bearing in a printing press. The effectiveness of the proposed method is evaluated in both experiments with K-means cluster. The accuracy rate of the fault diagnosis in rolling bearing is in the range of 75% through 100% using EMD, 95% through 100% using EWT. In the printing press experiment, the proposed method can reach 100% using EWT to distinguish the normal bearing (but cannot distinguish normal samples at different speeds), with fault bearing in 4 r/s and in 8 r/s. The fault samples are identified only according to a single proposed feature with EMD and EWT. Therefore, the extreme interval entropy is proved to be a reliable and effective tool for fault diagnosis and other similar applications.
Highlights
Self-adaptive methods are recognized as important tools in signal analysis of biomedical, seismic, geological and financial fields
One experiment is the fault diagnosis for rolling bearings with both different faults and damage degrees, the other experiment is about rolling bearing in a printing press
The accuracy rate of the fault diagnosis in rolling bearing is in the range of 75% through 100% using Empirical mode decomposition (EMD), 95% through 100%
Summary
Self-adaptive methods are recognized as important tools in signal analysis of biomedical, seismic, geological and financial fields. Variational mode decomposition (VMD), developed to eliminate the mode mixing problem in EMD, has gained some popularity in recent years as a promising technique for fault detection in various mechanical equipment [17,18]. Among these time-frequency methods, wavelet transform (WT), which can decompose a signal into several low high-frequency components and high-frequency components, has a good ability to show features of an abnormal signal. A new feature, extreme interval entropy, is proposed to realize the characterization of components obtained from self-adaptive decomposition in the research.
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