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Assessing statistical significance of phase synchronization index — An application to study baroreflex function in critically-ill infants

R.B. Govindan, Tareq Al-Shargabi, Nickie N. Andescavage, Marina Metzler, R.B. Lenin and Adré du Plessis

Physica A: Statistical Mechanics and its Applications, 2017, vol. 465, issue C, 331-337

Abstract: Phase differences of two signals in perfect synchrony exhibit a narrow band distribution, whereas the phase differences of two asynchronous signals exhibit uniform distribution. We assess the statistical significance of the phase synchronization between two signals by using a signed rank test to compare the distribution of their phase differences to the theoretically expected uniform distribution for two asynchronous signals. Using numerical simulation of a second order autoregressive (AR2) process, we show that the proposed approach correctly identifies the coupling between the AR2 process and the driving white noise. We also identify the optimal p-value that distinguishes coupled scenarios from uncoupled ones. To identify the limiting cases, we study the phase synchronization between two independent white noises as a function of bandwidth of the filter in a different second simulation. We identify the frequency bandwidth below which the proposed approach fails and suggest using a data-driven approach for those scenarios. Finally, we demonstrate the application of this approach to study the coupling between beat-to-beat cardiac intervals and continuous blood pressure obtained from critically-ill infants to characterize the baroreflex function.

Keywords: Phase synchronization analysis; Numerical simulation; Baroreflex function analysis; Sick infants (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:465:y:2017:i:c:p:331-337

DOI: 10.1016/j.physa.2016.08.051

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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