I have to make some system where I have an input signal (i) and and feedback signal (f) and from this I create a autocorrelation Matrix (ACM) where ACM = i*i and cross-correlation vector (XCV) where XCV= f*i.
From this I get a set of linear equations ACM*x= XCV and I need to find x.
With the x I can update some filter taps and ensure the signal is manipulated enough to ensure it is not distorted too much, hence that x is used to pre-distort the signal.
I understand how it works but not why.
Does anyone have any information on how using the matrices like this we get meaningful coefficients, what exactly do those coefficients represent?
What is the purpose of autocorrelation and cross-correlation. Basic questions, just starting some stuff with DSP.