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The impulse response of an LTI system is given as:

$h[n]=\left\{ \begin{array}{rcl} \frac{\omega_c}{\pi} & n=0\\ \frac{\sin \omega_cn}{\pi n} & n\neq 0 \end{array}\right.$

It represents an ideal

  1. non-casual, low-pass filter
  2. casual, low-pass filter
  3. non-casual, high-pass filter
  4. casual, high-pass filter

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