Problem 2 [8 points, 2 points each] Let f (t) from Problem 1 be the impulse response of a
time-invariant linear system and answer the following questions:
(a) Is the system causal?
(b) Is the system memoryless?
(c) Use the convolution formula
y(t) =
∫ ∞
−∞
f (t − τ )u(τ )dτ
to calculate the response of the system to a unit step input.
(d) Is the response you calculated in (c) bounded?
1