Bivariate phase-rectified signal averaging

Details Bivariate phase-rectified signal averaging Bivariate phase-rectified signal averaging

2008-04-17

arxiv.org/abs/0804.2798v1

Physics

Data Analysis, Statistics and Probability

19 pages, 6 figures, revised version submitted to Physica A

Scientific paper

10.1016/j.physa.2008.05.002

Phase-Rectified Signal Averaging (PRSA) was shown to be a powerful tool for the study of quasi-periodic oscillations and nonlinear effects in non-stationary signals. Here we present a bivariate PRSA technique for the study of the inter-relationship between two simultaneous data recordings. Its performance is compared with traditional cross-correlation analysis, which, however, does not work well for non-stationary data and cannot distinguish the coupling directions in complex nonlinear situations. We show that bivariate PRSA allows the analysis of events in one signal at times where the other signal is in a certain phase or state; it is stable in the presence of noise and impassible to non-stationarities.

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