Figure 7 | Scientific Reports

Figure 7

From: State space methods for phase amplitude coupling analysis

Figure 7

PAC analysis of 6-s signals with harmonic content using standard methods and SSP. The signal was either generated using a Van der Pol oscillator alone (a-1), a Van der Pol oscillator with a modulated alpha oscillation (b-1), or with a nonlinearity according to Eq. (7) (c-1). The standard method use conventional filters to extract the oscillation (0.1–1 Hz and 6–14 Hz (ab-2) and 0.6–1.2 Hz and 0.9–3.1 Hz (c-2)). SSP was combined with an Akaike Information Criteria (AIC, abc-4) to select the optimal number of independent oscillations (one, two or three) and the number of slow harmonics (abc-5). PAC is reported as the distribution of the fast amplitude with respect to the slow phase (abc-3,abc-6). For SSP 100 samples were drawn from the posterior to generate CI (b-6).

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