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

hal.structure.identifierLaboratoire de l'intégration, du matériau au système [IMS]
dc.contributor.authorBERTHELOT, Bastien
hal.structure.identifierLaboratoire de l'intégration, du matériau au système [IMS]
dc.contributor.authorGRIVEL, Eric
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierQuality control and dynamic reliability [CQFD]
dc.contributor.authorLEGRAND, Pierrick
hal.structure.identifierLaboratoire de l'intégration, du matériau au système [IMS]
hal.structure.identifierEcole Nationale Supérieure de Cognitique [ENSC]
hal.structure.identifierCOGNITIQUE
dc.contributor.authorANDRÉ, Jean-Marc
hal.structure.identifierTHALES [France]
dc.contributor.authorMAZOYER, Patrick
dc.date.accessioned2024-04-04T02:38:38Z
dc.date.available2024-04-04T02:38:38Z
dc.date.issued2020
dc.identifier.issn1051-2004
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190895
dc.description.abstractEnThe 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 field of signal processing and statistics while providing accurate results. As a consequence, a great deal of interest has been paid to compare them and to better understand their behaviors from a mathematical point of view. In this paper, our contribution is threefold. Firstly, we propose another variant avoiding the discontinuities between consecutive local trends of the DFA by a priori constraining them to be continuous. Secondly, we show that, in all these approaches, the square of the fluctuation function can be presented in a similar matrix form. When the process is wide-sense stationary (w.s.s.), the latter can be seen as the power of the output of a linear filtering whose frequency response depends on the given method. In the general case, an interpretation of the square of the fluctuation function is also given by expressing it as the convolution between the 2D-Fourier transform of two matrices, one whose elements correspond to the instantaneous correlation function of the signal and the other which depends on the detrending method. To end up, an illustration is provided in the field of avionics for the detection of the visual tunneling, a deleterious cognitive state.
dc.language.isoen
dc.publisherElsevier
dc.rights.urihttp://creativecommons.org/licenses/by-nc/
dc.subject.enDFA
dc.subject.enDMA
dc.subject.enHurst
dc.subject.enTunneling
dc.title.enAlternative Ways to Compare the Detendred Fluctuation Analysis and its Variants. Application to Visual Tunneling Detection
dc.typeArticle de revue
dc.identifier.doi10.1016/j.dsp.2020.102865
dc.subject.halInformatique [cs]/Traitement du signal et de l'image
bordeaux.journalDigital Signal Processing
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02940122
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02940122v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Digital%20Signal%20Processing&rft.date=2020&rft.eissn=1051-2004&rft.issn=1051-2004&rft.au=BERTHELOT,%20Bastien&GRIVEL,%20Eric&LEGRAND,%20Pierrick&ANDR%C3%89,%20Jean-Marc&MAZOYER,%20Patrick&rft.genre=article


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