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A signal is represented by

 $x(t)=\begin{cases} 1 & |t|<1 \\ 0 & |t|>1 \end{cases}$

The Fourier transform of the convolved signal $y(t)$= $x(2t)*x(t/2)$ is

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