probability of two signals are equivalent

I am new to electronic engineering and DSP. I have this orignal signal matrix signalXY [X1,Y1] . . . . [Xn,Yn]

and then it goes through series of transformation. It can be rotation/shift_bit/or whatever transformation through a transformation Matrix. so suppose through this operation I will have A1....Am matrix from the original signal. The 1...m transformation is not necessarily the same.

and I have another signal signalPQ but go through different transformation not necessarily the same as above. so now I have let say B1...Bm

now if I mix the two bags A1...An and B1...Bm together. And then draw from these combine bag randomly of the two matrix How can I determine the confident level the two matrix Ai = Bj are equivalent?

I am thinking using spectral analysis but not sure if it is the right path. and also if any R/Matlab/python package can help this work ?? Suggestion on approach this problem ??

-Thx sincerely.

Answer 1

[Star Strider]

‘How can I determine the confident level the two matrix Ai = Bj are equivalent?’

I have difficulty following what you are doing. From a statistical perspective, you cannot prove that they are equivalent. The best you can do is to prove is that they are not different, at a specific probability (confidence interval). I would use the Statistics Toolbox functions ttest or ttest2, whichever you believe is most appropriate, based on what you know about your data.