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EEG and Brain Connectivity: A Tutorial - Bio-Medical Instruments, Inc.

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Fig. 13- Diagram of phase reset metrics. Phase shift (PS) onset was defined at the time point when a<br />

significant 1 st derivative occurred (≥ 5 0 /centisecond), phase shift duration (SD) was defined as the time<br />

from onset to offset of the phase shift <strong>and</strong> the phase synchrony interval (SI) was defined as the interval of<br />

time between the onset of a phase shift <strong>and</strong> the onset of a subsequent phase shift. Phase reset (PR) is<br />

composed of two events: 1- a phase shift <strong>and</strong> 2- a period of synchrony following the phase shift where the<br />

1 st derivative ≈ 0 or PR = SD + SI. (from Thatcher et al, 2008a; 2008b)<br />

17- How large should coherence be before Phase Difference can be<br />

regarded as stable?<br />

As mentioned previously, the confidence internal for the estimation of<br />

the average phase angle between two time series is related to the magnitude<br />

of coherence. When coherence is near unity then the oscillators are<br />

synchronized <strong>and</strong> phase <strong>and</strong> frequency locked. This means that when<br />

coherence is too low, e.g., < 0.2, then the estimate of the average phase<br />

angle may not be stable <strong>and</strong> phase relationships could be non-linear <strong>and</strong> not<br />

synchronized or phase locked. An example of a 30 degree phase angle<br />

using the NeuroGuide signal generation program is shown in figure 13:

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