Information theoretic interpretation of frequency domain connectivity measures

In order to provide adequate multivariate measures of information flow between neural structures, modified expressions of partial directed coherence (PDC) and directed transfer function (DTF), two popular multivariate connectivity measures employed in neuroscience, are introduced and their formal relationship to mutual information rates are proved.

[1]  Daniel Y. Takahashi,et al.  Measure of information flow with application in neuroscience (Medidas de fluxo de informação com aplicação em neurociência) , 2009 .

[2]  J. Geweke,et al.  Measurement of Linear Dependence and Feedback between Multiple Time Series , 1982 .

[3]  L. Baccalá,et al.  Overcoming the limitations of correlation analysis for many simultaneously processed neural structures. , 2001, Progress in brain research.

[4]  L.A. Baccald,et al.  Generalized Partial Directed Coherence , 2007, 2007 15th International Conference on Digital Signal Processing.

[5]  J. Geweke,et al.  Measures of Conditional Linear Dependence and Feedback between Time Series , 1984 .

[6]  D. B. Preston.  Spectral Analysis and Time Series , 1983 .

[7]  Maciej Kaminski,et al.  Transmission of Brain Activity During Cognitive Task , 2010, Brain Topography.

[8]  M. Eichler,et al.  Assessing the strength of directed influences among neural signals using renormalized partial directed coherence , 2009, Journal of Neuroscience Methods.

[9]  Luiz A. Baccalá,et al.  Computer Intensive Testing for the Influence Between Time Series , 2006 .

[10]  Friedrich T. Sommer,et al.  Exploratory analysis and data modeling in functional neuroimaging , 2003 .

[11]  C. Granger.  Investigating causal relations by econometric models and cross-spectral methods , 1969 .

[12]  E. J. Hannan,et al.  Multiple time series , 1970 .

[13]  G. A. Miller,et al.  Comparison of different cortical connectivity estimators for high‐resolution EEG recordings , 2007, Human brain mapping.

[14]  Katarzyna J. Blinowska,et al.  A new method of the description of the information flow in the brain structures , 1991, Biological Cybernetics.

[15]  Luiz A. Baccalá,et al.  Partial directed coherence: a new concept in neural structure determination , 2001, Biological Cybernetics.

[16]  Helmut Lütkepohl,et al.  Introduction to multiple time series analysis , 1991 .

[17]  Yuzo Hosoya.  Elimination of Third‐series Effect and Defining Partial Measures of Causality , 2001 .

[18]  Luiz A. Baccalá,et al.  Studying the Interaction Between Brain Structures via Directed Coherence and Granger Causality , 1998 .

[19]  Yuzo Hosoya.  The decomposition and measurement of the interdependency between second-order stationary processes , 1991 .

[20]  Daniel Y. Takahashi,et al.  Frequency domain connectivity: an information theoretic perspective , 2010, 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology.