Let $x(t)$ be a signal whose Fourier transform $X(f)$ is zero for $|f|>W$. Using a sampler with sampling frequency $4 W$, which of the following filters can be used to exactly reconstruct $x(t)$.
- Low pass filter spanning frequencies $\text{[-W W]}$.
- Band pass filter spanning frequencies $\text{[3W} \;5 \mathrm{W}]$.
- Band pass filter spanning frequencies $\text{[-3W} \;5 \mathrm{W}]$.
- All the above.
- None of the above.