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GATE ECE 2004 | Question: 74

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Consider the signal $x(t)$ shown in the figure. Let $h(t)$ denote the impulse response of the filter matched to $x(t)$, with $h(t)$ being non-zero only in the interval 0 to $4 \; \mathrm{sec}$. The slope of $h(t)$ in the interval $3 < t < \text{sec}.$ is

  1. $\frac{1}{2} \sec ^{-1}$
  2. $-1 \sec ^{-1}$
  3. $-\frac{1}{2} \sec ^{-1}$
  4. $1 \; \mathrm{sec}^{-1}$

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