Multiple choice

The impulse response h (t) of linear time - invariant continuous time system is given by h (t) = exp (- 2t) u (t) , where u (t) denotes the unit step function.

The output of this system, to the sinusoidal input x (t) = 2 cos 2t for all time t, is

  1. 0

  2. $2^{-0.25} cos(2t - 0.125\pi)$
  3. $2^{-0.5} cos(2t - 0.125\pi)$
  4. $2^{-0.5} cos(2t - 0.25\pi)$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation