Roberto F. Leonarduzzi

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Scale invariance is a widely used concept to analyze real-world data from many different applications and multifractal analysis has become the standard corresponding signal processing tool. It characterizes data by describing globally and geometrically the fluctuations of local regularity, usually measured by means of the Hölder exponent. A major(More)
— Interpretation and analysis of intrapartum fetal heart rate, enabling early detection of fetal acidosis, remains a challenging signal processing task. Recently, a variant of the wavelet-based multifractal analysis, based on p p p-exponents and p p p-leaders, which provides a rich framework for data regularity analysis, has been proposed. The present(More)
Scale invariance and multifractal analysis constitute paradigms nowadays widely used for real-world data characterization. In essence, they amount to assuming power law behaviors of well-chosen multiresolution quantities as functions of the analysis scale. The exponents of these power laws, the scaling exponents, are then measured and involved in classical(More)
Intrapartum fetal heart rate (FHR) constitutes a prominent source of information for the assessment of fetal reactions to stress events during delivery. Yet, early detection of fetal acidosis remains a challenging signal processing task. The originality of the present contribution are three-fold: multiscale representations and wavelet leader based(More)
Interpretation and analysis of intrapartum fetal heart rate, enabling early detection of fetal acidosis, remains a challenging signal processing task. Among the many strategies that were used to tackle this problem, scale-invariance and multifractal analysis stand out. Recently, a new and promising variant of multifractal analysis, based on p-leaders, has(More)
Despite widespread adoption of multifractal analysis as a signal processing tool, most practical multifractal formalisms suffer from a major drawback: since they are based on Legendre transforms, they can only yield concave estimates for multifractal spectrum that are, in most cases, only upper bounds on the (possibly nonconcave) true spectrum. Inspired by(More)
– La récente définition de p-exposants et p-leaders´ etend l'application de l'analyse multifractalè a des fonctions ou signaux de régularité négative, ` a conditions que ceux-ci soient localement L p. Le formalisme multifractal, mis en oeuvre sur des signauxà temps discret, qui ne satisferaient pas cette contrainte théorique, produira toujours un résultat(More)
— Scale invariance and multifractal analysis are paradigms nowadays widely used for real-world data characterization. In essence, they amount to assuming power law behaviors of well-chosen multires-olution quantities as functions of the analysis scale. The exponents of these power laws, the scaling exponents, are then measured and involved in classical(More)
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