Denominator for Recurrence Rate
Posted: Fri Jul 13, 2018 17:18
Hello,
In many places, including Marwan's seminal paper in Physics Reports (2007), RR is calculated as the number of recurrent points in the RP divided by N^2; that formula is used in popular software packages, even considering that the LOI - or even more lines around it - may be excluded in the count of recurrent points.
On the other hand, in the first chapter of the book on RQA edited by Webber and Marwan (2015), the definition of RR for recurrence plots (eq. 1.6, page 13) has (N^2-N) in the denominator, taking into account that the LOI is excluded.
So my question is: should RR be or not be adjusted depending on the Theiler window that is used?
In many places, including Marwan's seminal paper in Physics Reports (2007), RR is calculated as the number of recurrent points in the RP divided by N^2; that formula is used in popular software packages, even considering that the LOI - or even more lines around it - may be excluded in the count of recurrent points.
On the other hand, in the first chapter of the book on RQA edited by Webber and Marwan (2015), the definition of RR for recurrence plots (eq. 1.6, page 13) has (N^2-N) in the denominator, taking into account that the LOI is excluded.
So my question is: should RR be or not be adjusted depending on the Theiler window that is used?