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The signal $x[n]=\sin(\pi n/6)/(\pi n)$ is processed through a linear filter with the impulse response $h[n]=\sin(\omega_cn)/(\pi n)$ where $\omega_c>\pi/6$. The output of the filter is

  1. $sin(2\omega_cn)/(\pi n)$
  2. $sin(\pi n/3)/(\pi n)$
  3. $[sin(\pi n/6)/(\pi n)]^2$
  4. $sin(\pi n/6)/(\pi n)$
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