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Multivariate Phase Rectified Signal Averaging

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

The behaviour of many natural complex systems is characterized by nonstationarities and phase shifts making a conventional analysis of periodicities not fully reliable. Recently, the method of Phase Rectified Signal Averaging (PRSA) 1 has been introduced for the extraction of non-stationary oscillations out of noisy signals with varying mean. As an example, PRSA was shown to be superior in risk classification of sudden cardiac death after initial myocardial infarction 2. The main advantage of the PRSA is its capability to analyze separately periodicities occurring around increases (or, alternatively, decreases) of the signal. We now suggest a multivariate form of PRSA to study the relationships (i.e., interactions, partial syncronization, etc.) between two or more complex signals. We compare this method with cross correlation and cross spectra techniques and also discuss the application of multivariate PRSA in a recent baroreflex regulation study. 1) A. Bauer et al., Physica A 364, 423 (2006)\\ 2) A. Bauer et al., The Lancet 367, 1674 (2006)

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