Benefits of Zero-Phase or Linear Phase Filters to Design Multiscale Entropy: Theory and Application

Autor: Eric Grivel, Bastien Berthelot, Gaetan Colin, Pierrick Legrand, Vincent Ibanez

Publikováno v: Entropy, Vol 26, Iss 4, p 332 (2024)

In various applications, multiscale entropy (MSE) is often used as a feature to characterize the complexity of the signals in order to classify them. It consists of estimating the sample entropies (SEs) of the signal under study and its coarse-graine

Externí odkaz: https://doaj.org/article/29af743d7ac94c72b76399019cd7cd34

Definition of the fluctuation function in the detrended fluctuation analysis and its variants

Autor: Bastien Berthelot, Audrey Giremus, Pierrick Legrand, Eric Grivel

Publikováno v: The European Physical Journal B: Condensed Matter and Complex Systems
The European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2021, 94, ⟨10.1140/epjb/s10051-021-00231-7⟩
The European Physical Journal B: Condensed Matter and Complex Systems, 2021, 94, ⟨10.1140/epjb/s10051-021-00231-7⟩

International audience; The detrended fluctuation analysis (DFA) and its variants are popular methods to analyze the self-similarity of a signal. Two steps characterize them: firstly, the trend of the centered integrated signal is estimated and remov

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f64076715a4f94d19146501bdcc989bf
https://doi.org/10.1140/epjb/s10051-021-00231-7

DFA-based abacuses providing the Hurst exponent estimate for short-memory processes

Autor: Eric Grivel, Bastien Berthelot, Pierrick Legrand, Audrey Giremus

Publikováno v: Digital Signal Processing
Digital Signal Processing, Elsevier, 2021, 116, ⟨10.1016/j.dsp.2021.103102⟩
Digital Signal Processing, 2021, 116, ⟨10.1016/j.dsp.2021.103102⟩

International audience; The detrended fluctuation analysis (DFA) and its higher-order variant make it possible to estimate the Hurst exponent and therefore to quantify the long-range dependence of a random process. These methods are popular and used

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c445a80036f2c56332c62d00e3b4b9b4
https://hal.archives-ouvertes.fr/hal-03225784

Alternative Ways to Compare the Detendred Fluctuation Analysis and its Variants. Application to Visual Tunneling Detection

Autor: Patrick Mazoyer, Pierrick Legrand, Bastien Berthelot, Jean-Marc André, Eric Grivel

Publikováno v: Digital Signal Processing
Digital Signal Processing, Elsevier, 2020, ⟨10.1016/j.dsp.2020.102865⟩
Digital Signal Processing, 2020, ⟨10.1016/j.dsp.2020.102865⟩

International audience; The detrended fluctuation analysis (DFA) and its variants such as the detrended moving average (DMA) are widely used to estimate the Hurst exponent. These methods are very popular as they do not require advanced skills in the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d394328306f348acc552dc8dc4c60a9
https://hal.archives-ouvertes.fr/hal-02940122

2D Fourier Transform Based Analysis Comparing the DFA with the DMA

Autor: Pierrick Legrand, Thierry Ferreira, Marc Donias, Bastien Berthelot, Jean-Marc André, Eric Grivel, Patrick Mazoyer

Publikováno v: EUSIPCO 2019-27th European Signal Processing Conference
EUSIPCO 2019-27th European Signal Processing Conference, Sep 2019, A Coruna, Spain
HAL
EUSIPCO

Even if they can be outperformed by other methods, the detrended fluctuation analysis (DFA) and the detrended moving average (DMA) are widely used to estimate the Hurst exponent because they are based on basic notions of signal processing. For the la

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a4280b7a766e7d764f635b637203334
https://hal.archives-ouvertes.fr/hal-02147663