Assessing the convolutedness of multivariate physiological time series

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Abstract

A feature of time-series variability that may reveal underlying complex dynamics is the degree of "convolutedness". For multivariate series of m components, convolutedness can be defined as the propensity of the trail of the time-series samples to fill the m-dimensional space. This work proposes different convolutedness indices and compare them on synthesized and real physiological signals. The indices are based on length L and planar extension d of the trail in m dimensions. The classical ones are: the L/d ratio, and the Mandelbrot's fractal dimension (FD) of a curve: FDM =log(L)/log(d). In this work we also consider a correction of the Katz's estimator of FDM, i.e., FDKC =log(N)/(log(N)+log(d/L)), with N the number of samples; and FDMC, an estimator of FDM based on FDKC calculated over a shorter running window Nw

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Frequency division multiplexing
Time series
Fractals
Fractal dimension

ASJC Scopus subject areas

  • Medicine(all)

Cite this

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title = "Assessing the convolutedness of multivariate physiological time series",
abstract = "A feature of time-series variability that may reveal underlying complex dynamics is the degree of {"}convolutedness{"}. For multivariate series of m components, convolutedness can be defined as the propensity of the trail of the time-series samples to fill the m-dimensional space. This work proposes different convolutedness indices and compare them on synthesized and real physiological signals. The indices are based on length L and planar extension d of the trail in m dimensions. The classical ones are: the L/d ratio, and the Mandelbrot's fractal dimension (FD) of a curve: FDM =log(L)/log(d). In this work we also consider a correction of the Katz's estimator of FDM, i.e., FDKC =log(N)/(log(N)+log(d/L)), with N the number of samples; and FDMC, an estimator of FDM based on FDKC calculated over a shorter running window Nw",
author = "Paolo Castiglioni and Giampiero Merati and Andrea Faini",
year = "2014",
doi = "10.1109/EMBC.2014.6945002",
language = "English",
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pages = "6024--6027",
journal = "Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Conference",
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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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AU - Castiglioni, Paolo

AU - Merati, Giampiero

AU - Faini, Andrea

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