Calculate difference between two signals

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Nimish Iwale
Nimish Iwale on 17 Jul 2019
Answered: Star Strider on 17 Jul 2019
What and how would be the best way to calculate the difference between the 2 signals (A and B) shown below in terms of percentage difference or a factor of comparison?
Q&A.JPG

Answers (1)

Star Strider
Star Strider on 17 Jul 2019
I would compare them by noting that the amplitudes of the peaks vary with respect to the independent variable, similarly for both ‘A’ and ‘B’. One way would be to do a simple linear regression of one against the other:
P = [A(:) ones(size(A(:)))] \ B(:) % P(1) = Slope, P(2) = Intercept
another would be to regress both of them with respect to the independent variable (assumed here to be ‘x’):
Pa = [x(:) ones(size(x(:)))] \ A(:) % Pa(1) = Slope, Pa(2) = Intercept
Pb = [x(:) ones(size(x(:)))] \ B(:) % Pb(1) = Slope, Pb(2) = Intercept
A direct point-by-point difference or a single statistic (for example mean of the difference between them) would not capture their both changing over the independent variable at different rates, and with respect to each other.

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