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Filters
Study of boundary conditions in the Iterative Filtering method for the decomposition of nonstationary signals
[article]
2019
arXiv
pre-print
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In this work we tackle the problem of studying the influence of different boundary conditions on the decompositions produce by the Iterative Filtering method. ...
Nonstationary and nonlinear signals are ubiquitous in real life. Their decomposition and analysis is an important topic of research in signal processing. ...
Acknowledgments This work was supported by the Istituto Nazionale di Alta Matematica (INdAM) "INdAM Fellowships in Mathematics and/or Applications cofunded by Marie Curie Actions", FP7-PEOPLE-2012-COFUND ...
arXiv:1811.07610v2
fatcat:3kuwoixbzvbnbmuilptumblm44
Application of Adaptive Local Iterative Filtering and Permutation Entropy in Gear Fault Recognition
2021
Mathematical Problems in Engineering
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The adaptive local iterative filtering can decompose the nonstationary signal into a finite number of stationary intrinsic mode functions. ...
In this paper, a fault identification method combining adaptive local iterative filtering and permutation entropy is proposed. ...
components in the decomposition process and is more suitable for the analysis of nonlinear and nonstationary signals. ...
doi:10.1155/2021/8049516
fatcat:het6csjp2ja7vimfbfhfdssgde
Convergence analysis of Adaptive Locally Iterative Filtering and SIFT method
[article]
2020
arXiv
pre-print
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Our second contribution is proposing a robust and adaptive decomposition method for noisy and nonstationary signals, which we coined the Synchrosqueezing Iterative Filtering Technique (SIFT). ...
We show numerically the ability of this new approach in handling highly nonstationary signals. ...
ACKNOWLEDGEMENTS Antonio Cicone is a member of the Italian "Gruppo Nazionale di Calcolo Scientifico" (GNCS). ...
arXiv:2005.04578v1
fatcat:ahy4xtehdffx5drpu7nrpg7uc4
WEIGHTED SLIDING EMPIRICAL MODE DECOMPOSITION
2011
Advances in Adaptive Data Analysis
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We also show that the new method extracts component signals that fulfill all criteria of an IMF very well and that it exhibits excellent reconstruction quality. ...
Using nonlinear and nonstationary toy data, we demonstrate the good performance of the proposed algorithm. ...
In the following, we studied the influence of the window size on the reconstruction quality. The decomposition was applied for different segment sizes and a constant ensemble size E = 50. ...
doi:10.1142/s1793536911000891
fatcat:b2n3zbxoevbfvgkiqhofbf7pey
A novel classification method combining adaptive local iterative filtering with singular value decomposition for fault diagnosis
2018
Journal of Vibroengineering
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Thus, a novel method of mechanical fault classification method based on adaptive local iterative filtering and singular value decomposition is proposed in this paper. ...
ALIF is an adaptive decomposition method based on iterative filtering (IF). ...
The theory of the proposed method
The theory of adaptive local iterative filtering Adaptive local iterative filtering (ALIF) method is the improved version of iterative filtering [21] . ...
doi:10.21595/jve.2017.18512
fatcat:llfjdy2w3jfzhdv5xljy7xwuzu
New insights and best practices for the successful use of Empirical Mode Decomposition, Iterative Filtering and derived algorithms
2020
Scientific Reports
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Algorithms based on Empirical Mode Decomposition (EMD) and Iterative Filtering (IF) are largely implemented for representing a signal as superposition of simpler well-behaved components called Intrinsic ...
Specifically, we address the problems related to boundary errors, to the presence of spikes or jumps in the signal and to the decomposition of highly-stochastic signals. ...
We thank the authors of the work 110 for sharing with us their data sets that we used in "Real life example". ...
doi:10.1038/s41598-020-72193-2
pmid:32939024
pmcid:PMC7495475
fatcat:ebwtlzyvbfcl5nrzy2ofilakmm
A fast algorithm for bidimensional EMD
2005
IEEE Signal Processing Letters
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A particular attention is devoted to boundary conditions that are crucial for the feasibility of the bidimensional EMD. ...
The study of the behavior of the decomposition on different kind of images shows its efficiency in terms of computational cost and the decomposition of Gaussian white noises leads to bidimensional selective ...
Goncalvès for useful discussions within a CNRS project MATH-STIC "EMD : formalisation mathématique et applications" as well as the "Région Rhône-Alpes" ...
doi:10.1109/lsp.2005.855548
fatcat:7yfz5iy2dve2jpqa6cemqfcuiu
Research on Noise Reduction Method of Pressure Pulsation Signal of Draft Tube of Hydropower Unit Based on ALIF-SVD
2021
Shock and Vibration
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method based on adaptive local iterative filtering (ALIF) and singular value decomposition (SVD). ...
The ALIF-SVD dual noise reduction method proposed in this study is compared with the single ALIF, EMD, and EMD-SVD dual noise reduction method through simulation, and the correlation coefficient, signal-to-noise ...
Conclusion In this study, by combining the advantages of adaptive local iterative filtering, sample entropy, and singular value decomposition, a dual denoising method based on ALIF-SVD is proposed to solve ...
doi:10.1155/2021/5580319
fatcat:xde7qfpwmzh3blz3kok5r2meta
Stabilization and Variations to the Adaptive Local Iterative Filtering Algorithm: the Fast Resampled Iterative Filtering Method
[article]
2021
arXiv
pre-print
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and the Iterative Filtering method. ...
The second technique, called Resampled Iterative Filtering, is a new generalization of the Iterative Filtering method. ...
Acknowledgements The authors are members of the Italian "Gruppo Nazionale di Calcolo Scientifico" (GNCS) of the Istituto Nazionale di Alta Matematica "Francesco Severi" (INdAM). ...
arXiv:2111.02764v1
fatcat:wdc6cwgyxzddfhru5jaolbf7vu
The use of the empirical mode decomposition method to clean and restavration acoustic emission signal
2018
E3S Web of Conferences
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The results of the study of the possibility of using the empirical mode decomposition method for cleaning geoacoustic emission signals from various types of noise are presented. ...
It is shown that the application of the method allows to increase the ratio of the signal noise 3-6 dB depending on the ratio of signal dispersion and noise in the input signal. ...
In this case, the noise and the signal had nonstationary character that limited application of traditional methods for data pre-processing. ...
doi:10.1051/e3sconf/20186203008
fatcat:fsstfle6ynftfn6h4kt75uxzhq
ADAPTIVE DATA ANALYSIS VIA SPARSE TIME-FREQUENCY REPRESENTATION
2011
Advances in Adaptive Data Analysis
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We introduce a new adaptive method for analyzing nonlinear and nonstationary data. ...
One advantage of performing such a decomposition is to preserve some intrinsic physical property of the signal, such as trend and instantaneous frequency. ...
Professor Hou would like to express his gratitude to the National Central University (NCU) for their support and hospitality during his visits to NCU in the past two years. ...
doi:10.1142/s1793536911000647
fatcat:pjw67p6b6ra7xfmetl3us5j5wq
Extending the scope of empirical mode decomposition by smoothing
2012
EURASIP Journal on Advances in Signal Processing
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This article considers extending the scope of the empirical mode decomposition (EMD) method. ...
The extension is aimed at noisy data and irregularly spaced data, which is necessary for widespread applicability of EMD. ...
(A-4) Repeat steps (A-1)-(A-3) for the signal h λ at the jth iteration satisfies the IMF conditions. ...
doi:10.1186/1687-6180-2012-168
fatcat:ebepf2tt7bhcldwlyzu5cvfcdi
A Refined Hilbert–Huang Transform With Applications to Interarea Oscillation Monitoring
2009
IEEE Transactions on Power Systems
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It is shown that the combination of the proposed methods result in superior frequency and temporal resolution than other approaches for analyzing complicated nonstationary oscillations. ...
Simulated response data from a complex power system model are used to assess the efficacy of the proposed techniques for capturing the temporal evolution of critical system modes. ...
Thornhill from the Chemical Engineering Department, Imperial College London, for useful comments and discussion that significantly improve the quality of this paper. ...
doi:10.1109/tpwrs.2009.2016478
fatcat:jetkfn563zg3zdbvwndurcsysq
A refined Hilbert-Huang transform with applications to inter-area oscillation monitoring
2009
2009 IEEE Power & Energy Society General Meeting
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It is shown that the combination of the proposed methods result in superior frequency and temporal resolution than other approaches for analyzing complicated nonstationary oscillations. ...
Simulated response data from a complex power system model are used to assess the efficacy of the proposed techniques for capturing the temporal evolution of critical system modes. ...
Thornhill from the Chemical Engineering Department, Imperial College London, for useful comments and discussion that significantly improve the quality of this paper. ...
doi:10.1109/pes.2009.5275975
fatcat:maoo6xytnnctvp43zwacl2jhdy
Research on Rolling Bearing Fault Diagnosis Using Improved Majorization-Minimization-Based Total Variation and Empirical Wavelet Transform
2020
Shock and Vibration
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In addition, the empirical wavelet transform (EWT) is an adaptive signal processing method suitable for processing nonlinear and nonstationary signals. ...
The results from simulations and signals received from defective bearings with outer race fault, inner race fault, and rolling element fault demonstrate the effectiveness of the proposed method for fault ...
It is an adaptive time-frequency analysis algorithm and suitable for processing nonstationary signals. e EWT adaptively divides the Fourier spectrum and uses a set of wavelet filters to obtain a single ...
doi:10.1155/2020/3218564
fatcat:chphs3vzqfellmpr2i4lcak7wm
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