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Intervalles interbattements cardiaques et Processus Auto-Régulé Multifractionnaire

Abstract : We analyze the local regularity of RR traces from ECG through the computation of the so-called Hölder exponents. These exponents are at the basis of multifractal analysis, which has been shown to be relevant in the study of RR data. While multifractal analysis yields a global picture of the distribution of regularity, we focus here on its time evolution.We show that this evolution is strongly negatively correlated with the signal itself, a feature that seems to have remained unnoticed so far. In other words, when the heart beats slowly, it is more irregular than when it beats rapidly. In order to account for this fact, we propose a new stochastic model, called Self-Regulating Multifractional Process : contrarily to multifractional Brownian motion, whose the local regualrity depends on time, the regularity here is a function of the amplitude of the process itself.We use this new model to build more realistic synthetic RR traces.
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Submitted on : Tuesday, November 23, 2010 - 5:37:41 PM
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  • HAL Id : inria-00539043, version 1



Olivier Barrière, Jacques Lévy Véhel. Intervalles interbattements cardiaques et Processus Auto-Régulé Multifractionnaire. Journal de la Société Française de Statistique, Société Française de Statistique et Société Mathématique de France, 2009, 150 (1), pp.54-72. ⟨inria-00539043⟩



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