Methodological Framework for Estimating the Correlation Dimension in HRV Signals
Joint Authors
Rovira, Eva
Laguna, Pablo
Bailón, Raquel
Bolea, Juan
Navarro, Augusto
Remartínez, José María
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Bolea, Juan& Laguna, Pablo& Remartínez, José María& Rovira, Eva& Navarro, Augusto& Bailón, Raquel. 2014. Methodological Framework for Estimating the Correlation Dimension in HRV Signals. Computational and Mathematical Methods in Medicine،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-447970
Modern Language Association (MLA)
Bolea, Juan…[et al.]. Methodological Framework for Estimating the Correlation Dimension in HRV Signals. Computational and Mathematical Methods in Medicine No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-447970
American Medical Association (AMA)
Bolea, Juan& Laguna, Pablo& Remartínez, José María& Rovira, Eva& Navarro, Augusto& Bailón, Raquel. Methodological Framework for Estimating the Correlation Dimension in HRV Signals. Computational and Mathematical Methods in Medicine. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-447970
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447970