Fourier Uniformity: An Useful Tool for Analyzing EEG Signals with An Application to Source Localization

TL;DR

This paper introduces Fourier uniformity, a measure for analyzing phase synchronization in EEG signals, demonstrating its application in improving cortical source localization.

Contribution

It proposes a novel measure called Fourier uniformity for phase synchronization analysis and applies it to EEG source localization.

Findings

Fourier uniformity effectively characterizes phase synchronization.

The measure improves accuracy in EEG source localization.

Application demonstrates potential in neuroscience research.

Abstract

If two signals are phase synchronous then the respective Fourier component at each spectral band should exhibit certain properties. In a pair of artificially generated phase synchronous signals the phase difference at each frequency band changes very slowly over the subsequent frequency bands. This has been called Fourier uniformity in this paper and a measure of it has been proposed. An usefulness of this measure has been outlined in the case of cortical source localization of scalp EEG.