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GATE ECE 2008 | Question-84

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 frequency response $H(\omega)$ of this system in terms of angular frequency $\omega$, is given by $H(\omega)=$

  1. $\frac{1}{1+j 2 \omega}$
  2. $\frac{\sin (\omega)}{\omega}$
  3. $\frac{1}{2+j \omega}$
  4. $\frac{j \omega}{2+j \omega}$
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