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Study of boundary conditions in the Iterative Filtering method for the decomposition of nonstationary signals [article]

Antonio Cicone, Pietro Dell'Acqua
2019 arXiv   pre-print
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

Wenbin Zhang, Yun Wang, Yushuo Tan, Dewei Guo, Yasong Pu, Yuxing Li
2021 Mathematical Problems in Engineering  
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]

Antonio Cicone, Hau-Tieng Wu
2020 arXiv   pre-print
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

R. FALTERMEIER, A. ZEILER, A. M. TOMÉ, A. BRAWANSKI, E. W. LANG
2011 Advances in Adaptive Data Analysis  
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

Cancan Yi, Yong Lv, Yi Zhang, Han Xiao, Zhang Dang
2018 Journal of Vibroengineering  
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

Angela Stallone, Antonio Cicone, Massimo Materassi
2020 Scientific Reports  
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

C. Damerval, S. Meignen, V. Perrier
2005 IEEE Signal Processing Letters  
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

Yan Ren, Pan Liu, Leiming Hu, Jin Huang, Ruoyu Qiao, Hongping Chen, Xiaokai Li, Shaojie Huang, Ling Zhou
2021 Shock and Vibration  
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]

Giovanni Barbarino, Antonio Cicone
2021 arXiv   pre-print
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

Yury Senkevich, W.J. Miloch, B.M. Shevtsov, G.M. Vodinchar
2018 E3S Web of Conferences  
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

THOMAS Y. HOU, ZUOQIANG SHI
2011 Advances in Adaptive Data Analysis  
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

Donghoh Kim, Kyungmee O Kim, Hee-Seok Oh
2012 EURASIP Journal on Advances in Signal Processing  
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

D.S. Laila, A.R. Messina, B.C. Pal
2009 IEEE Transactions on Power Systems  
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

Dina Shona Laila, Arturo Roman Messina, Bikash Chandra Pal
2009 2009 IEEE Power & Energy Society General Meeting  
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

Yangli Ou, Shuilong He, Chaofan Hu, Jiading Bao, Wenjie Li
2020 Shock and Vibration  
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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