An FFT based measure of phase synchronization

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In this paper phase of a signal has been viewed from a different angle. According to this view a signal can have countably infinitely many phases, one associated with each Fourier component. In other words each frequency has a phase associated with it. It has been shown that if two signals are phase synchronous then the difference between phases at a given component changes very slowly across the subsequent components. This leads to an FFT based phase synchronization measuring algorithm between any two signals. The algorithm does not take any more time than the FFT itself. Mathematical motivations as well as some results of implementation of the algorithm on artificially generated signals and real EEG signals have been presented.
12 pages, 5 figures. Revised draft (substantial revision). Under review in a journal

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Neurons and Cognition, Quantitative Methods

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http://salesiana.dossiersoluciones.com/handle/123456789/159724

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/q-bio/0612004
 http://arxiv.org/abs/q-bio/0612004

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arXiv