2020
DOI: 10.1109/access.2020.3006030
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An Improved Empirical Mode Decomposition Based on Adaptive Weighted Rational Quartic Spline for Rolling Bearing Fault Diagnosis

Abstract: As a powerful time-frequency signal analysis technique, empirical mode decomposition (EMD) has been commonly applied in fault diagnosis. However, the cubic spline-curve often causes outstanding over and undershoot problem, which significantly limits the performance of conventional EMD. To address this problem, an improved EMD (I-EMD) based on adaptive weighted rational quartic spline is proposed. Firstly, the original cubic spline interpolation in conventional EMD is replaced with the weighted rational quartic… Show more

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Cited by 32 publications
(16 citation statements)
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“…. , N }, label(y t , W ) = label(y s , W ), (9) where label(y s , W) and label(y s , W) are the predicted health state of the short data segment y s and y t using the classifier W, respectively. It should be mentioned that the short data segments y s and y t only differ in the different starting points of the vibration data y statel under the health state l.…”
Section: ) Shift-invariance Property When Predicting Health Statesmentioning
confidence: 99%
See 1 more Smart Citation
“…. , N }, label(y t , W ) = label(y s , W ), (9) where label(y s , W) and label(y s , W) are the predicted health state of the short data segment y s and y t using the classifier W, respectively. It should be mentioned that the short data segments y s and y t only differ in the different starting points of the vibration data y statel under the health state l.…”
Section: ) Shift-invariance Property When Predicting Health Statesmentioning
confidence: 99%
“…Among the feature extraction methods, the classical time-domain statistics and spectral analysis techniques usually fail to detect the incipient weak faults due to the strong harmonic interferences and heavy background noises. To accurately extract and characterize the fault-related features from the complex multi-component signals of rotating machine, many advanced vibration-based signal processing algorithms have been developed, such as spectral kurtosis (SK) [7], minimum entropy deconvolution [8], empirical mode decomposition [9], stochastic resonance [10], time-frequency representation [11]- [13], wavelet transforms [14]- [16], and sparsity-based fault diagnosis algorithms [17]- [19]. However, these above extraction feature methods require a prior feature knowledge such as the fault characteristic frequency (FCF), and thus are not suitable when the explicit prior feature knowledge are not available due to the dynamic and uncertainty issues in the complex mechanical systems [20].…”
Section: Introductionmentioning
confidence: 99%
“…In this study, the mutation probability MR is introduced to specify whether to change the position of each particle in the specified dimension. The mutation operation formula is shown in Equation (14). If Rand(i) (i = 1, 2, .…”
Section: Escape the Local Trap Based On Mutation Operationmentioning
confidence: 99%
“…CWT solves the problems of FFT and STFT with an adjustable window size [13]. However, once the decomposition scale of CWT is defined, CWT can only decompose signals in the defined frequency band, which makes CWT non-adaptive [14]. Based on the above analysis, adaptive signal processing technology may be able to analyze vibration signals more effectively [15].…”
Section: Introductionmentioning
confidence: 99%
“…However, different mother wavelets, threshold selection methods, and different decomposition levels achieve different de-noising effects [31]. The EEMD method is an extension algorithm for the empirical mode decomposition (EMD) method [44][45][46][47][48][49][50][51], which has no requirement for prior knowledge of transform basis functions and overcomes the mode mixing, false mode, and endpoint problems of the EMD method by taking advantage of the uniform frequency distribution of Gaussian white noise. It also has significant advantages in dealing with nonstationary and nonlinear data.…”
Section: Introductionmentioning
confidence: 99%