Large deviations estimates for the multiscale analysis of heart rate variability - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Physica A: Statistical Mechanics and its Applications Year : 2012

Large deviations estimates for the multiscale analysis of heart rate variability

Abstract

In the realm of multiscale signal analysis, multifractal analysis provides with a natural and rich framework to measure the roughness of a time series. As such, it has drawn special attention of both mathematicians and practitioners, and led them to characterize relevant physiological factors impacting the heart rate variability. Notwithstanding these considerable progresses, multifractal analysis almost exclusively developed around the concept of Legendre singularity spectrum, for which efficient and elaborate estimators exist, but which are structurally blind to subtle features like non-concavity or, to a certain extent, non scaling of the distributions. Large deviations theory allows bypassing these limitations but it is only very recently that performing estimators were proposed to reliably compute the corresponding large deviations singularity spectrum. In this article, we illustrate the relevance of this approach, on both theoretical objects and on human heart rate signals from the Physionet public database. As conjectured, we verify that large deviations principles reveal significant information that otherwise remains hidden with classical approaches, and which can be reminiscent of some physiological characteristics. In particular we quantify the presence/absence of scale invariance of RR signals.
Fichier principal
Vignette du fichier
PhysicaA-May21-submitted.pdf (1.21 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00725380 , version 1 (25-08-2012)

Identifiers

Cite

Patrick Loiseau, Claire Médigue, Paulo Gonçalves, Najmeddine Attia, Stéphane Seuret, et al.. Large deviations estimates for the multiscale analysis of heart rate variability. Physica A: Statistical Mechanics and its Applications, 2012, 391 (22), pp.5658-5671. ⟨10.1016/j.physa.2012.05.069⟩. ⟨hal-00725380⟩
571 View
306 Download

Altmetric

Share

Gmail Facebook X LinkedIn More