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We demonstrate that human electrophysiological recordings of the local fieldpotential (LFP) from intracranial electrodes, acquired from a variety ofcerebral regions, show a ubiquitous $1/f^2$ scaling within the power spectrum.We develop a quantitative model that treats the generation of these fields inan analogous way to that of electronic shot noise, and use this model tospecifically address the cause of this $1/f^2$ Brownian noise. The model givesway to two analytically tractable solutions, both displaying Brownian noise: 1)uncorrelated cells that display sharp initial activity, whose extracellularfields slowly decay and 2) rapidly firing, temporally correlated cells thatgenerate UP-DOWN states.

Neuronal Shot Noise and Brownian $1/f^2$ Behavior in the Local Field Potential