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