methodological framework for estimating the correlation dimension in hrv signals

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ID: 194752
2014
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Abstract
This paper presents a methodological framework for robust estimation of the correlation dimension in HRV signals. It includes (i) a fast algorithm for on-line computation of correlation sums; (ii) log-log curves fitting to a sigmoidal function for robust maximum slope estimation discarding the estimation according to fitting requirements; (iii) three different approaches for linear region slope estimation based on latter point; and (iv) exponential fitting for robust estimation of saturation level of slope series with increasing embedded dimension to finally obtain the correlation dimension estimate. Each approach for slope estimation leads to a correlation dimension estimate, called D^2, D^2⊥, and D^2max. D^2 and D^2max estimate the theoretical value of correlation dimension for the Lorenz attractor with relative error of 4%, and D^2⊥ with 1%. The three approaches are applied to HRV signals of pregnant women before spinal anesthesia for cesarean delivery in order to identify patients at risk for hypotension. D^2 keeps the 81% of accuracy previously described in the literature while D^2⊥ and D^2max approaches reach 91% of accuracy in the same database.
Reference Key
bolea2014computationalmethodological Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Juan Bolea;Pablo Laguna;José María Remartínez;Eva Rovira;Augusto Navarro;Raquel Bailón
Journal advanced functional materials
Year 2014
DOI
10.1155/2014/129248
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