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

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Fig. 22 – Illustration of phase straightening where the change or discontinuity from – 180 0 to +<br />

180 0 is removed by adding or subtracting 360 0 depending on the direction of change (adapted<br />

from Otnes <strong>and</strong> Enochson, 1972).<br />

Phase straightening is important when computing the first <strong>and</strong> second<br />

derivatives of the time series of phase differences because the discontinuity<br />

between – 180 0 to + 180 0 can produce artifacts. All of the derivatives <strong>and</strong><br />

phase reset measures in this paper were computed after phase straightening<br />

in order to avoid possible artifact.<br />

23 – <strong>EEG</strong> Spindles <strong>and</strong> Burst Activity<br />

The human Electroencephalogram is characterized by electrical events<br />

that have a specific shape <strong>and</strong> physiological origin called “spindles” or<br />

“burst activity”. A spindle is defined as a rhythmic <strong>and</strong> sequential build up<br />

of <strong>EEG</strong> amplitudes that wax <strong>and</strong> wane <strong>and</strong> appears as an “envelope”<br />

structure. Spindles are also referred to as augmenting <strong>and</strong> recruiting<br />

responses (Steriade, 1995). Spindles are especially prevalent during late<br />

drowsiness <strong>and</strong> sleep, however, spindles also occur during waking <strong>and</strong><br />

focused attention. In animal studies spindle like responses referred to as

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