I'm looking for a suitable measure in order to quantify the asymmetry of a signal. I've read this: Detect signals degree of imbalance and this: How to measure the agreement between to curves? but I can't see how they apply to my case.
So this is the part of the signal that I am interested in:
The red line shows the original signal and the black line shows the right part of the signal mirrored about the time=0 axis. What I need to do is find a way to quantify the asymmetry of the red line, i.e. a measure of its difference from the black line.
What I have tried doing is taking the square root of the sum of the squares (SRSS) of the differences of each point. That is:
$$ SRSS = \sqrt{\sum\limits_i (y_{black,i} - y_{red,i})^2} $$
Unfortunately, this measure is affected by the number of points that I take for each curve. So for example if the resolution is half, SRSS will decrease even if I'm comparing the same lines.
Is there any other measures of asymmetry that you can suggest? Ideally, they should be a single number and not be affected greatly by the resolution of the lines.