A Cutting Pattern Recognition Method for Shearers Based on Improved Ensemble Empirical Mode Decomposition and a Probabilistic Neural Network
Abstract
:1. Introduction
2. Literature Review
2.1. Coal-Rock Cutting Pattern Recognition Methods
2.2. Ensemble Empirical Mode Decomposition
2.3. Discussion
3. The Proposed Method
3.1. Improved Ensemble Empirical Mode Decomposition
- Step 1.1:
- Add a random white noise yi(t) to the original signal series X(t):
- Step 1.2:
- For the noisy-added signal Xi(t), all extrema are searched at first. The upper and the lower envelopes are respectively constructed by connecting all the maxima and the minima through cubic splines. The mean of the two envelopes is defined as , then subtract the from Xi(t) to get a component , which can be described as follows:
- Step 1.3:
- Separate from Xi(t), the remainder can be defined as follows:
- Step 1.4:
- Xi(t) can be decomposed by the sum of Ni IMFs and a residual, which can be shown as follows:
- Step 1.5:
- Calculate N = min{N1, N2… Nk} and the ensemble means of corresponding IMFs of the decomposition as the final result:
- Step 2.1:
- The redundancy threshold ξ is introduced at first. M data series are selected and the length of each sequence is set as L. Based on the original storage data, extension is operated on the left and right of the data series with the length of l respectively. So the length of each analytic data is computed as L + 2l.
- Step 2.2:
- The data series are decomposed by EEMD to obtain a suite of IMFs. Considering the number of IMF may differ from each other, the biggest number is selected as Tmax. If the IMF number is smaller than Tmax, some zero vectors are supplemented in low frequency.
- Step 2.3:
- The extended data on both sides of every IMF are eliminated, so the result of EEMD can be expressed as follows:
- Step 2.4:
- IMF1 is set as the first IMF, then correlation coefficients of IMF1 and IMF2, IMF1 and IMF3, ..., IMF1 and IMFT are calculated. The average correlation coefficient named rt is introduced and can be defined as follows:
- Step 2.5:
- The average correlation coefficients with the redundancy threshold ξ are compared and the coefficients greater than ξ are deleted. Also, IMFs correspond to the deleted coefficients are removed and the number of reminder IMFs can be marked as T.
3.2. Feature Extraction
3.3. Probabilistic Neural Network
3.4. Processing Method Based on IEEMD and PNN
- (1)
- Acquire N sample sound series in different cutting patterns and divide them into N1 training data and N2 testing data.
- (2)
- Extend the N series and decompose them into several IMF components. Then eliminate the continuation data and select essential IMF components. The selection process is confirmed by the relationship between the average correlation coefficients and the redundancy threshold ξ.
- (3)
- Extract the energy and standard deviation of the reminder IMFs as features, and normalize the feature vector of the sound series. Input the extracted vectors of N1 training series into the initial PNN, and the cutting pattern is the output of PNN.
- (4)
- Input the feature vectors of the testing series into the trained PNN, and acquire the cutting pattern of each testing sample finally. The flowchart of cutting pattern recognition method can be shown in Figure 2.
4. Simulation and Analysis
4.1. Sample Data Acquisition
4.2. Sound Decomposition and Feature Extraction
r1 | r2 | r3 | r4 | r5 | r6 | r7 | r8 | r9 | r10 | r11 | r12 | r13 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
0.0020 | 0.0029 | 0.0016 | 0.0035 | 0.0007 | 0.0012 | 0.0047 | 0.0021 | 0.0020 | 0.0031 | 0.0240 | 0.0019 | 0.0075 |
Training Sample Number | Feature Vector |
---|---|
1 | [0.0672, 0.1010, 0.3673, 0.0809, 0.6901, 0.1071, 0.7625, 0.946, 0.9218, 0.3012, 0.0362, 0.0421, 0.0043, 0.056, 0.0026, 0.0192] |
2 | [0.7037, 0.1662, 0.8445, 0.1760, 0.2710, 0.3091, 0.7370, 0.2522, 0.3111, 0.1631, 0.0063, 0.0172, 0.0353, 0.0132, 0.0084, 0.0006] |
3 | [0.9808, 0.0153, 0.0395, 0.3762, 0.6742, 0.0559, 0.7328, 0.0186, 0.6364, 0.0138, 0.1120, 0.0022, 0.5197, 0.8962, 0.58806, 0.0015] |
...... | |
599 | [0.0650, 0.0163, 0.3948, 0.0138, 0.1327, 0.0096, 0.2402, 0.0033, 0.6132, 0.7146, 0.3410, 0.0004, 0.0578, 0.0053, 0.0297, 0.0307] |
600 | [0.0118, 0.0023, 0.03407, 0.0038, 0.1841, 0.0087, 0.7196, 0.0622, 0.0343, 0.0566, 0.5617, 0.0059, 0.2671, 0.0036, 0.0644, 0.0016] |
4.3. PNN Training and Testing
ξ | Reminder IMF Number | Dimension of Feature Vector | Simulation Accuracy |
---|---|---|---|
0.05 | 3 | 6 | 47.33% |
0.08 | 5 | 10 | 73.00% |
0.10 | 8 | 16 | 92.67% |
0.15 | 11 | 22 | 83.33% |
0.20 | 12 | 24 | 92.00% |
0.35 | 13 | 26 | 83.67% |
1.00 | 14 | 28 | 85.00% |
4.4. Discussion
Compared Methods | Reminder IMF Number | Recognition Accuracy | Recognition Time (s) |
---|---|---|---|
Natural γ-ray detection | — | 66.67% | 92.7469 |
WPT and PNN | — | 78.33% | 65.0264 |
Traditional EEMD and PNN | 14 | 86.00% | 50.3133 |
Yu’s method | 9 | 87.67% | 46.1962 |
The proposed method | 8 | 92.67% | 45.0917 |
5. Industrial Application
6. Conclusions and Future Work
Acknowledgments
Author Contributions
Conflicts of Interest
References
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Xu, J.; Wang, Z.; Tan, C.; Si, L.; Liu, X. A Cutting Pattern Recognition Method for Shearers Based on Improved Ensemble Empirical Mode Decomposition and a Probabilistic Neural Network. Sensors 2015, 15, 27721-27737. https://doi.org/10.3390/s151127721
Xu J, Wang Z, Tan C, Si L, Liu X. A Cutting Pattern Recognition Method for Shearers Based on Improved Ensemble Empirical Mode Decomposition and a Probabilistic Neural Network. Sensors. 2015; 15(11):27721-27737. https://doi.org/10.3390/s151127721
Chicago/Turabian StyleXu, Jing, Zhongbin Wang, Chao Tan, Lei Si, and Xinhua Liu. 2015. "A Cutting Pattern Recognition Method for Shearers Based on Improved Ensemble Empirical Mode Decomposition and a Probabilistic Neural Network" Sensors 15, no. 11: 27721-27737. https://doi.org/10.3390/s151127721
APA StyleXu, J., Wang, Z., Tan, C., Si, L., & Liu, X. (2015). A Cutting Pattern Recognition Method for Shearers Based on Improved Ensemble Empirical Mode Decomposition and a Probabilistic Neural Network. Sensors, 15(11), 27721-27737. https://doi.org/10.3390/s151127721