Preface
Chapter 1 Development of entropy theories 1
1.1 From thermodynamic to information entropy 1
1.2 Rényi entropy 3
1.3 Kolmogorov-Sinai entropy 3
1.4 Eckmann-Ruelle entropy 4
1.5 Approximate entropy 5
1.6 Sample entropy 6
1.7 Fuzzy entropy 8
1.8 Permutation entropy 9
1.9 Conclusions 10
1.10 References 11
Chapter 2 Comparative analysis of entropy methods on health conditionb monitoring of machines 13
2.1 Comparisons of various entropy measures 13
2.2 Quantitative comparison of entropy measures 15
2.3 Effect of noise on entropy calculation 16
2.3.1 Research on the effect of noise using a simulated model 16
2.3.2 Performance comparison under strong noise 18
2.4 Calculation efficiency 21
2.4.1 Research on the calculation efficiency using simulation model 21
2.4.2 Discussion on the calculation efficiency 22
2.5 Effect of data length 23
2.6 Classification performance 24
2.6.1 Simulation model regarding classification performance 24
2.6.2 Classification performances for different types of entropy algorithms 26
2.7 Conclusions 29
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