title: General relation between variance-time curve and power spectral density for point processes exhibiting 1/f beta-fluctuations, with special reference to heart rate variability.
abstract: Counting statistics in the form of the variance-time curve provides an alternative to spectral analysis for point processes exhibiting 1/f beta-fluctuations, such as the heart beat. However, this is true only for beta < 1. Here, the case of general beta is considered. To that end, the mathematical relation between the variance-time curve and power spectral density in the presence of 1/f beta-noise is worked out in detail. A modified version of the variance-time curve is presented, which allows us to deal also with the case beta > or = 1. Some applications to the analysis of heart rate variability are given.
authors.affiliation: Medizinische Universitätsklinik Würzburg, Germany.
authors.forename: R
authors.initials: R
authors.lastname: Scharf
authors.forename: M
authors.initials: M
authors.lastname: Meesmann
authors.forename: J
authors.initials: J
authors.lastname: Boese
authors.forename: D R
authors.initials: DR
authors.lastname: Chialvo
authors.forename: K D
authors.initials: KD
authors.lastname: Kniffki
mesh_terms: D000818:Animals; D003198:Computer Simulation; D006339:Heart Rate; D006801:Humans; D008962:Models, Theoretical