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The following presents such a low-dimensional system of description of GFSB, known as the [sigma][phi][omega]system (Wackermann, 1996).
Following the reasoning above, a system of three quantitative descriptors has been proposed (Wackermann, 1996): [sigma] (the integral global power, measured in [micro]V) [phi] (a generalized measure of frequency, measured in Hz), and [omega] (a dimensionless indicator of spatial complexity or inverse of spatial synchronization, which attains values from 1 [maximal synchronization] through N [no synchronization]) [4] Thus, a putative GFSB, represented by an epoch of few seconds of multichannel EEG data, is characterized by a triplet of three global descriptors.
This qualitative observation is of crucial importance for the theory of sleep/wakefulness because it suggests that at least two dimensions are necessary for an adequate assessment of GFSB transitions at the sleep onset.
The change of the GFSB caused by eyes opening (i.e., enabling the visual input) is expressed in a simultaneous shift of state towards lower power, higher general frequency, and higher complexity; the magnitude of the change depends on the resting values ("no input" condition).
In addition, the descriptor of spatial complexity ([omega]) itself has proven to be a quite sensitive indicator of GFSBs "shifts" caused by psychotropic or nootropic drugs (Kondakor et al., 1997b; Yagyu et al, 1996) or by manifest psychopathology (Saito et al., 1998).
The major conclusions from these findings are: (a) SCs and their correlates, GFSBs, can be "mapped" into the macrostate space and distinguished by their position, and (b) the assignment of SCs to regions or locations in the macrostate space may show individual features (cf.