Defining an LTI System
Let the LTI system be defined as:
$ \ y(t)=0.5 x(t-5) $
Computing the Impulse Response and System Function
Inputting a delta into the system yeilds:
Let the LTI system be defined as:
$ \ y(t)=0.5 x(t-5) $
Inputting a delta into the system yeilds: