Neurophysical theory of coherence and correlations of electroencephalographic and electrocorticographic signals

Correlation and coherence functions of electroencephalographic signals are calculated using a recent continuum theory that has previously yielded excellent agreement with observations of electroencephalographic spectra. The predicted properties of these functions are found to be in semiquantitative agreement with observations for parameters consistent with those used in previous studies of spectra. The corresponding results for electrocorticographic signals point to an additional contribution at characteristic scales of around 6 mm, as has been previously inferred, and are consistent with a crossover to the long-range behavior seen in scalp data. Analysis within the framework of the model enables constraints on the relative strengths of the two contributions to be inferred, and makes it plausible that the short-range component reflects the point-spread function of external stimuli and corticothalamic feedback reaching the cortex.