High-Level Feature Extraction based on Correlogram for State Monitoring of Rotating Machinery with Vibration Signals
Yang Shaohua,Lu Guoliang,Wang Aiqun,Yan Peng
Table 2 Computation of selected ten typical features
Features Formulations
RMS ${{X}_{RMS}}=\sqrt{\frac{\sum\limits_{z=1}^{Z}{{{x}_{z}}^{2}}}{Z}}$
Crest factor ${{X}_{C}}=\frac{\left| {{x}_{z}} \right|}{{{X}_{RMS}}}$
Kurtosis ${{X}_{K}}=\frac{1}{Z}\sum\limits_{z=1}^{Z}{{{(\frac{{{x}_{z}}-\overline{x}}{{{X}_{SD}}})}^{4}}}$
Waveform ${{X}_{W}}=\frac{{{X}_{RMS}}}{\frac{1}{Z}\sum\limits_{z=1}^{Z}{\left| {{x}_{z}} \right|}}$
Skewness ${{X}_{SK}}=\frac{Z\sum\limits_{z=1}^{Z}{{{({{x}_{z}}-\overline{x})}^{3}}}}{(Z-1)(Z-2){{X}_{SD}}^{3}}$
Mean $\overline{x}=\frac{1}{Z}\sum\limits_{z=1}^{Z}{{{x}_{z}}}$
SD ${{X}_{SD}}=\sqrt{\frac{1}{Z}\sum\limits_{z=1}^{Z}{{{({{x}_{z}}-\overline{x})}^{2}}}}$
MSE $MSE=\frac{1}{Z}\sum\limits_{z=1}^{Z}{{{\varepsilon }_{z}}^{2}},{{\varepsilon }_{z}}=observe{{d}_{z}}-predicte{{d}_{z}}$
Variance ${{X}_{V}}=\frac{1}{Z}\sum\limits_{z=1}^{Z}{{{({{x}_{z}}-\overline{x})}^{2}}}$
MP ${{X}_{MP}}=\max ({{x}_{z}})$