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Kouka M, Cuesta-Frau D, Moltó-Gallego V. Slope Entropy Characterisation: An Asymmetric Approach to Threshold Parameters Role Analysis. ENTROPY (BASEL, SWITZERLAND) 2024; 26:82. [PMID: 38248207 PMCID: PMC10814979 DOI: 10.3390/e26010082] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/08/2023] [Revised: 01/15/2024] [Accepted: 01/15/2024] [Indexed: 01/23/2024]
Abstract
Slope Entropy (SlpEn) is a novel method recently proposed in the field of time series entropy estimation. In addition to the well-known embedded dimension parameter, m, used in other methods, it applies two additional thresholds, denoted as δ and γ, to derive a symbolic representation of a data subsequence. The original paper introducing SlpEn provided some guidelines for recommended specific values of these two parameters, which have been successfully followed in subsequent studies. However, a deeper understanding of the role of these thresholds is necessary to explore the potential for further SlpEn optimisations. Some works have already addressed the role of δ, but in this paper, we extend this investigation to include the role of γ and explore the impact of using an asymmetric scheme to select threshold values. We conduct a comparative analysis between the standard SlpEn method as initially proposed and an optimised version obtained through a grid search to maximise signal classification performance based on SlpEn. The results confirm that the optimised version achieves higher time series classification accuracy, albeit at the cost of significantly increased computational complexity.
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Affiliation(s)
- Mahdy Kouka
- Department of System Informatics and Computers, Universitat Politècnica de València, 03801 Alcoy, Spain; (M.K.); (V.M.-G.)
| | - David Cuesta-Frau
- Department of System Informatics and Computers, Universitat Politècnica de València, 03801 Alcoy, Spain; (M.K.); (V.M.-G.)
- Technological Institute of Informatics, Universitat Politècnica de València, 03801 Alcoy, Spain
| | - Vicent Moltó-Gallego
- Department of System Informatics and Computers, Universitat Politècnica de València, 03801 Alcoy, Spain; (M.K.); (V.M.-G.)
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Cheng L, Ma W, Gao Z. A New Approach to the Degradation Stage Prediction of Rolling Bearings Using Hierarchical Grey Entropy and a Grey Bootstrap Markov Chain. SENSORS (BASEL, SWITZERLAND) 2023; 23:9082. [PMID: 38005469 PMCID: PMC10675129 DOI: 10.3390/s23229082] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/09/2023] [Revised: 10/26/2023] [Accepted: 11/03/2023] [Indexed: 11/26/2023]
Abstract
Degradation stage prediction, which is crucial to monitoring the health condition of rolling bearings, can improve safety and reduce maintenance costs. In this paper, a novel degradation stage prediction method based on hierarchical grey entropy (HGE) and a grey bootstrap Markov chain (GBMC) is presented. Firstly, HGE is proposed as a new entropy that measures complexity, considers the degradation information embedded in both lower- and higher-frequency components and extracts the degradation features of rolling bearings. Then, the HGE values containing degradation information are fed to the prediction model, based on the GBMC, to obtain degradation stage prediction results more accurately. Meanwhile, three parameter indicators, namely the dynamic estimated interval, the reliability of the prediction result and dynamic uncertainty, are employed to evaluate the prediction results from different perspectives. The estimated interval reflects the upper and lower boundaries of the prediction results, the reliability reflects the credibility of the prediction results and the uncertainty reflects the dynamic fluctuation range of the prediction results. Finally, three rolling bearing run-to-failure experiments were conducted consecutively to validate the effectiveness of the proposed method, whose results indicate that HGE is superior to other entropies and the GBMC surpasses other existing rolling bearing degradation prediction methods; the prediction reliabilities are 90.91%, 90% and 83.87%, respectively.
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Affiliation(s)
- Li Cheng
- School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China;
| | - Wensuo Ma
- School of Mechatronics Engineering, Henan University of Science and Technology, Luoyang 471003, China;
| | - Zuobin Gao
- School of Mechatronics Engineering, Henan University of Science and Technology, Luoyang 471003, China;
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Jiang W, Shan Y, Xue X, Ma J, Chen Z, Zhang N. Fault Diagnosis for Rolling Bearing of Combine Harvester Based on Composite-Scale-Variable Dispersion Entropy and Self-Optimization Variational Mode Decomposition Algorithm. ENTROPY (BASEL, SWITZERLAND) 2023; 25:1111. [PMID: 37628141 PMCID: PMC10453690 DOI: 10.3390/e25081111] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/08/2023] [Revised: 07/09/2023] [Accepted: 07/20/2023] [Indexed: 08/27/2023]
Abstract
Because of the influence of harsh and variable working environments, the vibration signals of rolling bearings for combine harvesters usually show obvious characteristics of strong non-stationarity and nonlinearity. Accomplishing accurate fault diagnosis using these signals for rolling bearings is a challenging subject. In this paper, a novel fault diagnosis method based on composite-scale-variable dispersion entropy (CSvDE) and self-optimization variational mode decomposition (SoVMD) is proposed, systematically combining the nonstationary signal analysis approach and machine learning technology. Firstly, an improved SoVMD algorithm is developed to realize adaptive parameter optimization and to further extract multiscale frequency components from original signals. Subsequently, a CSvDE-based feature learning model is established to generate the multiscale fault feature space (MsFFS) of frequency components for the improvement of fault feature learning ability. Finally, the generated MsFFS can serve as the inputs of the Softmax classifier for fault category identification. Extensive experiments on the vibration datasets collected from rolling bearings of combine harvesters are conducted, and the experimental results demonstrate the more superior and robust fault diagnosis performance of the proposed method compared to other existing approaches.
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Affiliation(s)
- Wei Jiang
- Jiangsu Key Laboratory of Advanced Manufacturing Technology, Huaiyin Institute of Technology, Huai’an 223003, China
| | - Yahui Shan
- Wuhan Second Ship Design and Research Institute, Wuhan 430064, China
| | - Xiaoming Xue
- Jiangsu Key Laboratory of Advanced Manufacturing Technology, Huaiyin Institute of Technology, Huai’an 223003, China
| | - Jianpeng Ma
- Aero Engine Corporation of China, Harbin Bearing Co., Ltd., Harbin 150500, China;
| | - Zhong Chen
- Jiangsu Key Laboratory of Advanced Manufacturing Technology, Huaiyin Institute of Technology, Huai’an 223003, China
| | - Nan Zhang
- Jiangsu Key Laboratory of Advanced Manufacturing Technology, Huaiyin Institute of Technology, Huai’an 223003, China
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Li Z, Yang K, Zhou X, Duan S. A Novel Underwater Acoustic Target Identification Method Based on Spectral Characteristic Extraction via Modified Adaptive Chirp Mode Decomposition. ENTROPY (BASEL, SWITZERLAND) 2023; 25:e25040669. [PMID: 37190457 PMCID: PMC10138060 DOI: 10.3390/e25040669] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/07/2023] [Revised: 04/10/2023] [Accepted: 04/11/2023] [Indexed: 05/17/2023]
Abstract
As is well-known, ship-radiated noise (SN) signals, which contain a large number of ship operating characteristics and condition information, are widely used in ship recognition and classification. However, it is still a great challenge to extract weak operating characteristics from SN signals because of heavy noise and non-stationarity. Therefore, a new mono-component extraction method is proposed in this paper for taxonomic purposes. First, the non-local means algorithm (NLmeans) is proposed to denoise SN signals without destroying its time-frequency structure. Second, adaptive chirp mode decomposition (ACMD) is modified and applied on denoised signals to adaptively extract mono-component modes. Finally, sub-signals are selected based on spectral kurtosis (SK) and then analyzed for ship recognition and classification. A simulation experiment and two application cases are used to verify the effectiveness of the proposed method and the results show its outstanding performance.
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Affiliation(s)
- Zipeng Li
- School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
- Key Laboratory of Ocean Acoustics and Sensing, Northwestern Polytechnical University, Ministry of Industry and Information Technology, Xi'an 710072, China
| | - Kunde Yang
- School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
- Key Laboratory of Ocean Acoustics and Sensing, Northwestern Polytechnical University, Ministry of Industry and Information Technology, Xi'an 710072, China
| | - Xingyue Zhou
- School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
- Key Laboratory of Ocean Acoustics and Sensing, Northwestern Polytechnical University, Ministry of Industry and Information Technology, Xi'an 710072, China
| | - Shunli Duan
- School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
- Key Laboratory of Ocean Acoustics and Sensing, Northwestern Polytechnical University, Ministry of Industry and Information Technology, Xi'an 710072, China
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Machura L, Wawrzkiewicz-Jałowiecka A, Richter-Laskowska M, Trybek P. Non-Monotonic Complexity of Stochastic Model of the Channel Gating Dynamics. ENTROPY (BASEL, SWITZERLAND) 2023; 25:479. [PMID: 36981367 PMCID: PMC10047977 DOI: 10.3390/e25030479] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 02/09/2023] [Revised: 03/06/2023] [Accepted: 03/07/2023] [Indexed: 06/18/2023]
Abstract
The simple model of an ionic current flowing through a single channel in a biological membrane is used to depict the complexity of the corresponding empirical data underlying different internal constraints and thermal fluctuations. The residence times of the channel in the open and closed states are drawn from the exponential distributions to mimic the characteristics of the real channel system. In the selected state, the dynamics are modeled by the overdamped Brownian particle moving in the quadratic potential. The simulated data allow us to directly track the effects of temperature (signal-to-noise ratio) and the channel's energetic landscape for conformational changes on the ionic currents' complexity, which are hardly controllable in the experimental case. To accurately describe the randomness, we employed four quantifiers, i.e., Shannon, spectral, sample, and slope entropies. We have found that the Shannon entropy predicts the anticipated reaction to the imposed modification of randomness by raising the temperature (an increase of entropy) or strengthening the localization (reduction of entropy). Other complexity quantifiers behave unpredictably, sometimes resulting in non-monotonic behaviour. Thus, their applicability in the analysis of the experimental time series of single-channel currents can be limited.
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Affiliation(s)
- Lukasz Machura
- Institute of Physics, Faculty of Science and Technology, University of Silesia in Katowice, 41-500 Chorzow, Poland
| | - Agata Wawrzkiewicz-Jałowiecka
- Department of Physical Chemistry and Technology of Polymers, Silesian University of Technology, 44-100 Gliwice, Poland
| | - Monika Richter-Laskowska
- Institute of Physics, Faculty of Science and Technology, University of Silesia in Katowice, 41-500 Chorzow, Poland
- Łukasiewicz Research Network–Krakow Institute of Technology, The Centre for Biomedical Engineering, Zakopianska Str. 73, 30-418 Krakow, Poland
| | - Paulina Trybek
- Institute of Physics, Faculty of Science and Technology, University of Silesia in Katowice, 41-500 Chorzow, Poland
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Yue W, Xu F, Xiao X, Yang J. Track-before-Detect Algorithm for Underwater Diver Based on Knowledge-Aided Particle Filter. SENSORS (BASEL, SWITZERLAND) 2022; 22:9649. [PMID: 36560018 PMCID: PMC9784946 DOI: 10.3390/s22249649] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/16/2022] [Revised: 11/26/2022] [Accepted: 12/07/2022] [Indexed: 06/17/2023]
Abstract
This work studies the underwater detection and tracking of diver targets under a low signal-to-reverberation ratio (SRR) in active sonar systems. In particular, a particle filter track-before-detect based on a knowledge-aided (KA-PF-TBD) algorithm is proposed. Specifically, the original echo data is directly used as the input of the algorithm, which avoids the information loss caused by threshold detection. Considering the prior motion knowledge of the underwater diver target, we established a multi-directional motion model as the state transition model. An efficient method for calculating the statistical characteristics of echo data about the extended target is proposed based on the non-parametric kernel density estimation theory. The multi-directional movement model set and the statistical characteristics of the echo data are used as the knowledge-aided information of the particle filter process: this is used to calculate the particle weight with the sub-area instead of the whole area, and then the particles with the highest weight are used to estimate the target state. Finally, the effectiveness of the proposed algorithm is proved by simulation and sea-level experimental data analysis through joint evaluation of detection and tracking performance.
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Affiliation(s)
- Wenrong Yue
- Ocean Acoustic Technology Laboratory, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Feng Xu
- Ocean Acoustic Technology Laboratory, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
| | - Xiongwei Xiao
- Ocean Acoustic Technology Laboratory, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Juan Yang
- Ocean Acoustic Technology Laboratory, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
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Li Y. Entropy and Information Theory in Acoustics. ENTROPY (BASEL, SWITZERLAND) 2022; 24:1760. [PMID: 36554165 PMCID: PMC9777916 DOI: 10.3390/e24121760] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/23/2022] [Accepted: 11/29/2022] [Indexed: 06/17/2023]
Abstract
Acoustics is one of the most studied fields in the 21st century, encompassing underwater acoustics, architectural acoustics, engineering acoustics, physical acoustics, environmental acoustics, psychological acoustics, signal processing in acoustics, and so on [...].
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Affiliation(s)
- Yuxing Li
- School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China;
- Shaanxi Key Laboratory of Complex System Control and Intelligent Information Processing, Xi’an University of Technology, Xi’an 710048, China
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