By looking at the ACF of the output of a filter whose impulse response I know, can I approximate the mean of the input?
x = randn(1000,1); y1=filter(ones(5,1),,x); y2=filter(ones(5,1),,x + 0.2); res1 = xcorr(y1,'unbiased'); res2 = xcorr(y2,'unbiased');
When I plot
res2 it is clear
res2 has an identical shape but shifted up. This makes me think that just by looking at the ACF I can tell which process has more 'DC' but is there a way to quantify it?