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GATE ECE 2006 | Question-51

The minimum sampling frequency (in samples/sec) required to reconstruct the following signal from its samples without distortion
\[ x(t)=5\left(\frac{\sin 2 \pi 1000 t}{\pi t}\right)^{3}+7\left(\frac{\sin 2 \pi 1000 t}{\pi t}\right)^{2} \]
would be

  1. $2 \times 10^{3}$
  2. $4 \times 10^{3}$
  3. $6 \times 10^{3}$
  4. $8 \times 10^{3}$
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