Official PYQ · 2003Set 1 · Q23Discrete-time SignalsMCQ1 mark

GATE EC 2003 Set 1 Q23 — Discrete-time Signals

A sequence $x(n)$ with the z-transform $X(z)=z^4+z^2-2 z+2-3 z-4$ is applied as an input to a linear, time-invariant system with the impulse response $h(n)=2 \delta(n-3)$ where

$\delta(n)= \begin{cases}1, & n=0 \\ 0, & \text{ otherwise }\end{cases}$

The output at $n=4$ is

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Answer: B

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Published 10 Oct 2026

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