My background: until very recently in my studies I was dealing with analog systems and signals and now we are being taught discrete signals.
I am stuck at this question:
Suppose the impulse response of a discrete linear and time invariant system is $h(n) = u(n)$ Find the output signal if the input signal is $x(n) = u(n-1)-u(n-5)$
When $n<1$ the input signal doesn't overlap with the impulse response so the convolution is 0.
When $1<n<5$ part of the input signal overlaps with the impulse response (from $0$ to $n-1$) so the result of the convolution is $n$?
But what if $n>5$?. Isn't it correct that the signal overlap from $n-1$ until $n-5$ so the convolution must be equal to $4$?