Consider the discrete time system (S) with input x[n] and output y[n] as shown in the Figure. The two sub-systems represented by their impulse responses $h_1[n]$ and $h_2[n]$ are linear and time invariant. Which of the following statements is necessarily TRUE?

S is linear and time invariant.

GATE 2026 Electronics & Communication Q47 — Electronics and Communication Engineerin

GATE 2026Shift 1Q47MCQanswer keyexplanation soonmedium

Electronics and Communication Engineering · Signals and Systems - Discrete Time Systems

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Drill mode: signals and systems · 4/22

Figure from the original GATE 2026 paper. (IIT Guwahati archive)

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Signals and Systems - Discrete Time Systems has appeared in GATE Electronics & Communication 2 times across 1 years (2026).

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discrete time systemlineartime invariantcausalsignals and systems