How can I animate pre-recorded non-linear signal?

So here is the problem, I have a processed signal which is 11,000 samples long. This is non linear data. I wish to plot the original signal and the processed signal in two subplots as slowly moving with time, so that I can demonstrate the processing that I have done.

I have read the 3 ways to animate on MATLAB help page and I think, considering the length of my signals, movie is not the best option for me. I have read the Pythagoras Run! sample code and tried similarly for my signals,(using refrshdata and drawnow) but it gives me an entire signal in one go. (pretty much same as plot.)

I know it is very basic question but I am stuck. Please help me. how should I proceed ? which way should I animate my signals?