The Fourier decomposition method for nonlinear and non-stationary time series analysis

P Singh, SD Joshi, RK Patney… - Proceedings of the …, 2017 - royalsocietypublishing.org
for many decades, there has been a general perception in the literature that Fourier methods
are not suitable for the analysis of nonlinear and non-stationary data. In this paper, we …

Spectral envelope-based adaptive empirical Fourier decomposition method and its application to rolling bearing fault diagnosis

J Zheng, S Cao, H Pan, Q Ni - ISA transactions, 2022 - Elsevier
Adaptive empirical Fourier decomposition (AEFD) is a recently developed approach of
nonstationary signal mode separation. However, it requires to set the spectrum …

Adaptive parameterless empirical wavelet transform based time-frequency analysis method and its application to rotor rubbing fault diagnosis

J Zheng, H Pan, S Yang, J Cheng - Signal Processing, 2017 - Elsevier
Empirical wavelet transform (EWT) is a novel method for analyzing the multi-component
signals and is proposed based on the classical wavelet transform. To fulfill an adaptive …

On Holo-Hilbert spectral analysis: a full informational spectral representation for nonlinear and non-stationary data

NE Huang, K Hu, ACC Yang… - … of the Royal …, 2016 - royalsocietypublishing.org
The Holo-Hilbert spectral analysis (HHSA) method is introduced to cure the deficiencies of
traditional spectral analysis and to give a full informational representation of nonlinear and …

A novel rolling bearing fault diagnosis method based on empirical wavelet transform and spectral trend

Y Xu, Y Deng, J Zhao, W Tian… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Empirical wavelet transform (EWT) is a new adaptive signal decomposition method based
on wavelet theory, the main idea is to establish an appropriate set of empirical wavelet filter …

Holo-hilbert square spectral analysis: A new fault diagnosis tool for rotating machinery health management

J Zheng, W Ying, H Pan, K Feng - Mechanical Systems and Signal …, 2023 - Elsevier
Abstract The Holo-Hilbert spectral analysis (HHSA) is an emerging analysis tool for rotating
machinery fault diagnosis. It has an excellent performance in reflecting the cross-scale …

Automatic differentiation of normal and continuous adventitious respiratory sounds using ensemble empirical mode decomposition and instantaneous frequency

M Lozano, JA Fiz, R Jané - IEEE journal of biomedical and …, 2015 - ieeexplore.ieee.org
Differentiating normal from adventitious respiratory sounds (RS) is a major challenge in the
diagnosis of pulmonary diseases. Particularly, continuous adventitious sounds (CAS) are of …

Time-frequency analysis of nonstationary process based on multivariate empirical mode decomposition

G Huang, Y Su, A Kareem, H Liao - Journal of Engineering …, 2016 - ascelibrary.org
Currently, empirical mode decomposition (EMD) has become a popular data-driven time-
frequency analysis method for nonstationary and nonlinear data. However, it is still limited to …

Noise-assisted multivariate empirical mode decomposition for multichannel EMG signals

Y Zhang, P Xu, P Li, K Duan, Y Wen, Q Yang… - Biomedical engineering …, 2017 - Springer
Abstract Background Ensemble Empirical Mode Decomposition (EEMD) has been
popularised for single-channel Electromyography (EMG) signal processing as it can …

Hilbert spectrum analysis method of blast vibration signal based on HHT instantaneous phase optimization

E Dong, L An, Y Li, C Wu - Applied Acoustics, 2022 - Elsevier
Compared with wavelet analysis method of signal data, HHT (Hilbert-Huang Transform)
method is widely used for the local signal data analysis in the time–frequency domain …