$x(t)=\begin{cases} 0, & \text{if $t<0$ or $t>1$} \\ 1-t, & \text{if $0<t<1$} \end{cases}$
$y(t)=x(t-3)$
I am asked to find the correlation between x(t) and y(t). Here is what I have done:
But in the reference they got to another answer, and I don't know what is the problem with mine:
They say that the correlation between x and itself is different from 0 between $-1\let\le1$ and because of simetry they can split the integral, but I don't understand why it is true or how they have got to these limits.
Thanks very much in advance to all the helpers!