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GATE ECE 2008 | Question-85

Statement for Linked Answer Questions 84 and 85:

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


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

  1. $0$
  2. $2^{-0.25} \cos (2 t-0.125 \pi)$
  3. $2^{-0.5} \cos (2 t-0.125 \pi)$
  4. $2^{-0.5} \cos (2 t-0.25 \pi)$
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