Three‐Dimensional Poincaré Plot Analysis for Heart Rate Variability

Abstract

For the limitation of Poincaré plot analysis, the three-dimensional Poincaré plot analysis is proposed to analyze the heart rate variability. Firstly, the Poincaré plot and some classic indicators are briefly discussed. Because the standard analysis method inherently ignores the embedding temporal information of the RR interval time series, the temporal variation of the time series cannot be adequately reflected. Secondly, for the limitation of the Poincaré plot analysis, a three-dimensional Poincaré plot is presented, which can fully describe the temporal and spatial characteristics of the RR interval time series. Thirdly, we propose the local distribution entropy, which can quantify the temporal and spatial patterns of the scatter points in novel space. Finally, PhysioNet/PhysioBank is applied in this study. The experimental results demonstrate the effectiveness of the three-dimensional Poincaré plot analysis.

A novel quantitative index for Poincaré plot: included angle cosine measure

“…Thus, how to analyze these distribution pattern and extract the physiological information further is an important problem for Poincaré plot. In the past few years, many quantitative indicators were presented [1][2][3][4][5][6] , such as the minor and major axis of fitted ellipse (SD1, SD2) 1 , which partly represent the short-term HRV and the long-term HRV, the fitted ellipse area of scatter points (S) 2 reflects the degree of dispersion of the points and depicts the level of variation of HRV. Then, Ehler index (EI) 3 , Guzik index (GI) 4 and Porta index (PI) 5 are the asymmetry indexes, which are used to describe the asymmetry of the distribution for these scatter points.…”

An acceleration measure for heart rate variability via Poincaré plot

“…Among these researches, the study of HRV has been getting widely attention. As a significant prognostic indicator, the time and frequency characteristics of HRV have been extensively researched [1] . As the nonlinear of HRV, it is usually analyzed by many nonlinear tools.…”

A variation rate measure for the arrhythmia via Poincaré plot

“…Among these researches, the study of HRV has been getting widely attention. As a significant prognostic indicator, the time and frequency characteristics of HRV have been extensively researched [1]. As the nonlinear of HRV, the Poincaré plot analysis is an important nonlinear tool to analyze the dynamics of cardiovascular system.…”