On the spectral formulation of Granger causality

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• dc.contributor.author Chicharro Raventós, Daniel
• dc.date.accessioned 2020-02-13T15:22:36Z
• dc.date.available 2020-02-13T15:22:36Z
• dc.date.issued 2011
• dc.description.abstract Spectral measures of causality are used to explore the role of different rhythms in the causal connectivity between brain regions. We study several spectral measures related to Granger causality, comprising the bivariate and conditional Geweke measures, the directed transfer function, and the partial directed coherence. We derive the formulation of dependence and causality in the spectral domain from the more general formulation in the information-theory framework. We argue that the transfer entropy, the most general measure derived from the concept of Granger causality, lacks a spectral representation in terms of only the processes associated with the recorded signals. For all the spectral measures we show how they are related to mutual information rates when explicitly considering the parametric autoregressive representation of the processes. In this way we express the conditional Geweke spectral measure in terms of a multiple coherence involving innovation variables inherent to the autoregressive representation. We also link partial directed coherence with Sims’ criterion of causality. Given our results, we discuss the causal interpretation of the spectral measures related to Granger causality and stress the necessity to explicitly consider their specific formulation based on modeling the signals as linear Gaussian stationary autoregressive processes.en
• dc.description.sponsorship D.C. was supported by grant 2010FI-B2 00079 of the “Comissionat per a Universitats i Recerca del Departament d’Innovació, Universitats i Empresa de la Generalitat de Catalunya i del Fons Social Europeu” and is supported by the BrainScaleS EU FET-Proactive FP7 funded research project (Project number 269921).
• dc.format.mimetype application/pdf
• dc.identifier.citation Chicharro D. On the spectral formulation of Granger causality. Biol Cybern. 2011 Jan;105(5-6):331-47. DOI: 10.1007/s00422-011-0469-z
• dc.identifier.doi http://dx.doi.org/10.1007/s00422-011-0469-z
• dc.identifier.issn 0340-1200
• dc.identifier.uri http://hdl.handle.net/10230/43591
• dc.language.iso eng
• dc.publisher Springer
• dc.relation.ispartof Biological Cybernetics. 2011;105:331-47
• dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/269921
• dc.rights © Springer The final publication is available at Springer via http://dx.doi.org/10.1007/s00422-011-0469-z.
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.subject.keyword Granger causalityen
• dc.subject.keyword Partial directed coherenceen
• dc.subject.keyword Directed transfer functionen
• dc.subject.keyword Transfer entropyen
• dc.subject.keyword Sims causalityen
• dc.subject.keyword Multivariate processesen
• dc.title On the spectral formulation of Granger causalityen
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/acceptedVersion