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A signal is represented by

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

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

- $\frac{4}{\omega ^2} \sin(\frac{\omega }{2})sin(2\omega )$
- $\frac{4}{\omega ^2} \sin(\frac{\omega }{2})$
- $\frac{4}{\omega ^2} \sin(2\omega )$
- $\frac{4}{\omega ^2} \sin^2\omega $

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