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Let $h(t)$ be the impulse response of an ideal low-pass filter with cut-off frequency $5 \mathrm{kHz} .\; \mathrm{Let}\; g[n]= h(n T)$, for integer $n$, be a sampled version of $h(t)$ with sampling frequency $\frac{1}{T}=10 \mathrm{kHz}$. The discrete-time filter with $g[n]$ as its unit impulse response is a

  1. low-pass filter
  2. high-pass filter
  3. band-pass filter
  4. band-stop filter
  5. all-pass filter
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