Official PYQ · 2004Set 1 · Q65LTI SystemsMCQ1 mark

GATE EC 2004 Set 1 Q65 — LTI Systems

The impulse response $h|n|$ of a linear time invariant system is given as

$h[n]=\left\{\begin{array}{cc} -2 \sqrt{2} & n=1,-1 \\ 4 \sqrt{2} & n=2,-2 \\ 0, & \text{ otherwise } \end{array}\right.$

If the input to the above system is the sequence $\mathrm{e}^{j \pi n / 4}$ , then the output is

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Answer: A

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Published 10 Oct 2026

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