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TIFR ECE 2011 | Question: 20

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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 $x(t)$.

  1. Low pass filter spanning frequencies $\text{[-W W]}$.
  2. Band pass filter spanning frequencies $\text{[3W} \;5 \mathrm{W}]$.
  3. Band pass filter spanning frequencies $\text{[-3W} \;5 \mathrm{W}]$.
  4. All the above.
  5. None of the above.

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