Elastic Wave Denoising in the Case of Bender Elements Type Piezoelectric Transducers
Abstract
:1. Introduction
2. Digital Signal Processing
2.1. Superposition Denoising (SD)
2.2. Wavelet Threshold Denoising (WTD)
2.2.1. Signal Decomposition and Reconstruction
2.2.2. Threshold Function
2.2.3. Threshold
2.3. Evaluation Indicators
2.3.1. Signal-to-Noise Ratio (SNR)
2.3.2. Mean Square Error (MSE)
3. Tests and Results
- Randomly generate 20 sets of noise-added signals.
- Denoising by the superposition method using the 20 sets of signals and calculating the SNR and MSE.
- Five groups of signals from the 20 groups were randomly selected for denoising by the superposition method and calculating the SNR and MSE.
- Wavelet threshold denoising was performed by randomly selecting 1 group from 20 groups of signals, and the SNR and MSE were calculated.
- Performing wavelet threshold denoising based on the results of step (b) and calculating the SNR and MSE.
- Select the denoising method with the largest SNR and smallest MSE.
3.1. Heavy Sine Signal Test
3.2. Bumps Signal Test
3.3. Doppler Signal Test
3.4. Elastic Wave Signal Test
4. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Denoising Method | SNR | MSE |
---|---|---|
SD-20 | 28.8900 | 0.0123 |
SD-5 | 22.5622 | 0.0528 |
WTD | 27.2085 | 0.0181 |
SD-5-WTD | 32.3393 | 0.0056 |
Denoising Method | SNR | MSE |
---|---|---|
SD-20 | 20.1696 | 0.0311 |
SD-5 | 14.2578 | 0.1215 |
WTD | 15.1672 | 0.0985 |
SD-5-WTD | 21.8102 | 0.0213 |
Denoising Method | SNR | MSE |
---|---|---|
SD-20 | 15.0885 | 0.00266 |
SD-5 | 27.9615 | 0.00014 |
WTD | 21.9364 | 0.00055 |
SD-5-WTD | 23.1233 | 0.00042 |
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Xie, M.; Liu, J.; Lu, S. Elastic Wave Denoising in the Case of Bender Elements Type Piezoelectric Transducers. Sustainability 2022, 14, 12605. https://doi.org/10.3390/su141912605
Xie M, Liu J, Lu S. Elastic Wave Denoising in the Case of Bender Elements Type Piezoelectric Transducers. Sustainability. 2022; 14(19):12605. https://doi.org/10.3390/su141912605
Chicago/Turabian StyleXie, Ming, Jiahao Liu, and Song Lu. 2022. "Elastic Wave Denoising in the Case of Bender Elements Type Piezoelectric Transducers" Sustainability 14, no. 19: 12605. https://doi.org/10.3390/su141912605