A nonlinear causality measure in the frequency domain: nonlinear partial directed coherence with applications to EEG

Journal of Neuroscience Methods
Fei HePtolemaios G Sarrigiannis

Abstract

Frequency domain Granger causality measures have been proposed and widely applied in analyzing rhythmic neurophysiological and biomedical signals. Almost all these measures are based on linear time domain regression models, and therefore can only detect linear causal effects in the frequency domain. A frequency domain causality measure, the partial directed coherence, is explicitly linked with the frequency response function concept of linear systems. By modeling the nonlinear relationships between time series using nonlinear models and employing corresponding frequency-domain analysis techniques (i.e., generalized frequency response functions), a new nonlinear partial directed coherence method is derived. The advantages of the new method are illustrated via a numerical example of a nonlinear physical system and an application to electroencephalogram signals from a patient with childhood absence epilepsy. The new method detects both linear and nonlinear casual effects between bivariate signals in the frequency domain, while the existing measures can only detect linear effects. The proposed new method has important advantages over the classical linear measures, because detecting nonlinear dependencies has become more and more im...Continue Reading

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Citations

Feb 3, 2016·Frontiers in Human Neuroscience·Tetsuo KidaRyusuke Kakigi
Jun 4, 2014·NeuroImage·Fernanda S MatiasClaudio R Mirasso
Nov 26, 2015·IEEE Transactions on Neural Networks and Learning Systems·Sanqing HuYu Cao
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Apr 21, 2021·Scientific Reports·Riccardo Silini, Cristina Masoller
Jul 9, 2017·Journal of Neuroscience Methods·Elsa SiggiridouDimitris Kugiumtzis
May 28, 2021·Royal Society Open Science·Guillaume Dumas, Merle T Fairhurst
Jul 3, 2021·Mathematical Biosciences and Engineering : MBE·Xiebing ChenXugang Xi
Aug 3, 2021·Frontiers in Neuroscience·Tao ZhangHong Wang
Aug 28, 2021·Entropy·Eun-Jin Kim, Adrian-Josue Guel-Cortez

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