Quantitative Poincaré Plot

Abstract

Poincaré plot is a geometrical representation of a time series in a Cartesian plane. Points of the plot are duplets of the values of the time series and the distance (in number of values) between values of each duplet is the lag of the plot. Statistically, lag-1 Poincaré plot displays the correlation between consecutive samples in a graphical manner. It has been shown that Poincaré plot reveals patterns of heart rate dynamics resulting from nonlinear processes (Tulppo et al., Am. J. Physiol. 271:H244–H252, 1996; Brennan et al., IEEE Trans. Biomed. Eng. 48:1342–1347, 2001). The lag-1 RR interval Poincaré plot, a two-dimensional plot constructed by plotting consecutive RR intervals, is a repre..