PURPOSE
This app can be used to create a Poincare plot with a confidence ellipse from a specified alpha value.
INSTALLATION
Download Poincaré plot.opx file, and then drag-and-drop onto the Origin workspace. An icon will appear in the Apps Gallery window.
NOTE: This tool requires OriginPro.
DESCRIPTION
A Poincare Plot, aka return map, is usually used to quantify self-similarity in process. Given a time series of the form {x1, x2, x3, ..., }, a poincare map will have a first point (xt, xt+1), then (xt+1, xt+2), then (xt+2, xt+3), and so on.
The stddev on both directions will be calculated and labeled. As well, the confidence ellipse will by given an alpha value.
If Multiscales is checked, more options are available:
| Settings |
Description |
| Max Scale |
Maximum scale value |
| Scale Step |
Scales start from 1 to "Max Scale" by "Scale Step". |
| Multiscales Plots in One Graph |
Determines whether Poincare plots for all scales are arranged in one graph. If it is unchecked, a new graph will be created for each scale value. |
| Number of Plots in Column |
It is available only when Multiscales Plots in One Graph is checked. It specifies the number of plots arranged in each column of the graph. |
| Number of Plots in Row |
It is available only when Multiscales Plots in One Graph is checked. It specifies the number of plots arranged in each row of the graph. |
| Output GIF |
It is available only when Multiscales Plots in One Graph is unchecked. If Output GIF is checked, a gif file will be created in which each frame represents the Poincare plot for each scale value. |
| GIF File Name |
It is available only when Output GIF is checked. It specifies the exported gif file name and path. |
ALGORITHM
For each scale i in multiscales, a new time series will be created first by calculating the mean of i consecutive data points on non-overlapping windows. Then create a Poincare plot for this new time series. And this plot is the Poincare plot for the scale i.