I'm trying to graph a simple response function:
Now, I know that the function can also be written as:
So I tried plotting the step and impulse responses in Matlab:
sys = tf([1 0],[1 -0.5]) figure(1); step(sys); figure(2); impulse(sys);
I think the shape of the step response is right; however, shouldn't the impulse response decay?
It just doesn't seem right that both graphs have the same shape.