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Measuring Connectivity in Linear Multivariate Processes : Definitions, Interpretation, and Practical Analysis
Joint Authors
Faes, Luca
Erla, Silvia
Nollo, Giandomenico
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-14
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This tutorial paper introduces a common framework for the evaluation of widely used frequency-domain measures of coupling (coherence, partial coherence) and causality (directed coherence, partial directed coherence) from the parametric representation of linear multivariate (MV) processes.
After providing a comprehensive time-domain definition of the various forms of connectivity observed in MV processes, we particularize them to MV autoregressive (MVAR) processes and derive the corresponding frequency-domain measures.
Then, we discuss the theoretical interpretation of these MVAR-based connectivity measures, showing that each of them reflects a specific time-domain connectivity definition and how this results in the description of peculiar aspects of the information transfer in MV processes.
Furthermore, issues related to the practical utilization of these measures on real-time series are pointed out, including MVAR model estimation and significance assessment.
Finally, limitations and pitfalls arising from model mis-specification are discussed, indicating possible solutions and providing practical recommendations for a safe computation of the connectivity measures.
An example of estimation of the presented measures from multiple EEG signals recorded during a combined visuomotor task is also reported, showing how evaluation of coupling and causality in the frequency domain may help describing specific neurophysiological mechanisms.
American Psychological Association (APA)
Faes, Luca& Erla, Silvia& Nollo, Giandomenico. 2012. Measuring Connectivity in Linear Multivariate Processes : Definitions, Interpretation, and Practical Analysis. Computational and Mathematical Methods in Medicine،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-448951
Modern Language Association (MLA)
Faes, Luca…[et al.]. Measuring Connectivity in Linear Multivariate Processes : Definitions, Interpretation, and Practical Analysis. Computational and Mathematical Methods in Medicine No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-448951
American Medical Association (AMA)
Faes, Luca& Erla, Silvia& Nollo, Giandomenico. Measuring Connectivity in Linear Multivariate Processes : Definitions, Interpretation, and Practical Analysis. Computational and Mathematical Methods in Medicine. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-448951
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448951