Measuring spectrally-resolved information transfer
Fig 8
Spectrally resolved transfer entropy for example 4.
(A) Left, a system with bidirectionally coupled nodes: y0 and y1. The process y0 is linearly coupled with y1 at scale j = 4 (frequency band 4-8 Hz) and the process y1 is linearly coupled with y0 at scale j = 1 (frequency band 30-60 Hz). Right, power spectral of y0 and y1. (B) Spectrally resolved Transfer Entropy for source y0 and target y1. See Fig 4 for display conventions. (Left panel) Information transfer, drops when wavelet coefficients are selectively shuffled at scale 4 (frequency band 4-8 Hz) on the source site. The corresponding reception of information at the target is shown on the right panel, where a drop for shuffled wavelet coefficients is also observed at scale 4 (frequency band 30-60 Hz). A significant drops is also observed at scale 1, in relation to the autonomous oscillations of the target. (C) Spectrally resolved Transfer Entropy for source y1 and target y0. See Fig 4 for display conventions. (Left panel) Information transfer, drops when wavelet coefficients are selectively shuffled at scale 1 (frequency band 30-60 Hz) on the source site. The corresponding reception of information at the target is shown on the right panel, where a drop for shuffled wavelet coefficients is also observed at scale 1 (frequency band 30-60 Hz). A significant drops is also observed at scale 4, in relation to the autonomous oscillations of the target. (D) SOSO analysis for source y0 and target y1 (E) SOSO analysis for source y1 and target y0. Both, within- and cross-frequency information transfer is detected. (For plotting conventions see Fig 5).