An Efficient Noise Elimination Method for Non-stationary and Non-linear Signals by Averaging Decomposed Components
In this paper, a moving-average method of smoothing noise based on complex exponential decomposition is applied to eliminate noise of a non-stationary signal and a non-linear signal produced by Bouc–Wen model, which are added to white Gaussian noise to simulate the noise in measured signal. The meth...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2022/2068218 |
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| _version_ | 1832563413798092800 |
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| author | Zhenzhou Sun Hongchao Lu Jiefeng Chen Jialong Jiao |
| author_facet | Zhenzhou Sun Hongchao Lu Jiefeng Chen Jialong Jiao |
| author_sort | Zhenzhou Sun |
| collection | DOAJ |
| description | In this paper, a moving-average method of smoothing noise based on complex exponential decomposition is applied to eliminate noise of a non-stationary signal and a non-linear signal produced by Bouc–Wen model, which are added to white Gaussian noise to simulate the noise in measured signal. The method uses a sliding window cutting the entire non-stationary and/or non-linear signal into small segments and considers that the small segments are stable and linear. The segments are decomposed into a series of components via complex exponential decomposition, and the high-energy components are reserved to reconstruct de-noised signal. Then, due to the overlap of the reconstructed segments, the average value at the same time point of reconstruction signal is regarded as the de-noised data. A non-stationary signal and a non-linear signal are selected to investigate the performance of the proposed method, the results show that the proposed method has better de-noising efficiency compared with the wavelet shrinkage method and the Savitzky–Golay filter method based on EMD (EMD-SG) for dealing with the signals with SNR of 10 dB, 15 dB, and 20 dB, and de-noised signal using the proposed method has the highest signal-to-noise ratio (SNR) and the least root mean square error (RMSE). |
| format | Article |
| id | doaj-art-289ba1b0c5be477ead8c4a45674db6ad |
| institution | Kabale University |
| issn | 1875-9203 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-289ba1b0c5be477ead8c4a45674db6ad2025-02-03T01:20:17ZengWileyShock and Vibration1875-92032022-01-01202210.1155/2022/2068218An Efficient Noise Elimination Method for Non-stationary and Non-linear Signals by Averaging Decomposed ComponentsZhenzhou Sun0Hongchao Lu1Jiefeng Chen2Jialong Jiao3Key Laboratory of Far-shore Wind Power Technology of Zhejiang ProvinceSchool of Civil Engineering and TransportationKey Laboratory of Far-shore Wind Power Technology of Zhejiang ProvinceSchool of Civil Engineering and TransportationIn this paper, a moving-average method of smoothing noise based on complex exponential decomposition is applied to eliminate noise of a non-stationary signal and a non-linear signal produced by Bouc–Wen model, which are added to white Gaussian noise to simulate the noise in measured signal. The method uses a sliding window cutting the entire non-stationary and/or non-linear signal into small segments and considers that the small segments are stable and linear. The segments are decomposed into a series of components via complex exponential decomposition, and the high-energy components are reserved to reconstruct de-noised signal. Then, due to the overlap of the reconstructed segments, the average value at the same time point of reconstruction signal is regarded as the de-noised data. A non-stationary signal and a non-linear signal are selected to investigate the performance of the proposed method, the results show that the proposed method has better de-noising efficiency compared with the wavelet shrinkage method and the Savitzky–Golay filter method based on EMD (EMD-SG) for dealing with the signals with SNR of 10 dB, 15 dB, and 20 dB, and de-noised signal using the proposed method has the highest signal-to-noise ratio (SNR) and the least root mean square error (RMSE).http://dx.doi.org/10.1155/2022/2068218 |
| spellingShingle | Zhenzhou Sun Hongchao Lu Jiefeng Chen Jialong Jiao An Efficient Noise Elimination Method for Non-stationary and Non-linear Signals by Averaging Decomposed Components Shock and Vibration |
| title | An Efficient Noise Elimination Method for Non-stationary and Non-linear Signals by Averaging Decomposed Components |
| title_full | An Efficient Noise Elimination Method for Non-stationary and Non-linear Signals by Averaging Decomposed Components |
| title_fullStr | An Efficient Noise Elimination Method for Non-stationary and Non-linear Signals by Averaging Decomposed Components |
| title_full_unstemmed | An Efficient Noise Elimination Method for Non-stationary and Non-linear Signals by Averaging Decomposed Components |
| title_short | An Efficient Noise Elimination Method for Non-stationary and Non-linear Signals by Averaging Decomposed Components |
| title_sort | efficient noise elimination method for non stationary and non linear signals by averaging decomposed components |
| url | http://dx.doi.org/10.1155/2022/2068218 |
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