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

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Fig. 3- Example of cospectrum (in-phase) <strong>and</strong> quadspectrum (out-of-phase) power using<br />

two 5 Hz sine waves shifted by 10 degrees from 0 to 180 degrees. Blue diamonds are the<br />

in-phase cospectrum values <strong>and</strong> the red squares are the out-of-phase quadspectrum power<br />

values.<br />

The use of the quadspectrum or “Out-of-Phase” computation is a<br />

method to remove zero phase lag from the computation of coherence <strong>and</strong><br />

thus is volume conduction corrected coherence also referred to as Zerophase<br />

lag removed coherence (Nolte et al, 2004; Pascual-Marqui, 2007).<br />

4- How is network zero phase lag different from volume conduction?<br />

Spatially distributed neurons exhibit near zero phase difference,<br />

referred to as a “binding” or “synchrony” within a network of neurons,<br />

which is independent of volume conduction (Ekhorn et al, 1988; Gray et al,<br />

1989, John, 2005; Thatcher et al, 1994). The thalamus is the master<br />

synchronizer of the <strong>EEG</strong> <strong>and</strong> “binding” at zero phase lag can easily be<br />

produced by the centrally located thalamus (see Steriade, 1995). Multiple<br />

unit recordings <strong>and</strong> Magnetic electroencephalography (MEG) which is<br />

invisible to volume conduction have firmly established the scientific validity<br />

of network zero phase lag independent of volume conduction (Rogers,

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