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Official PYQ · 2025

GATE EC 2025 Set 1 Q7 — LTI Systems

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Consider the discrete-time system below with input x[n]x[n] and output y[n]y[n]. In the figure, h1[n]h_{1}[n] and h2[n]h_{2}[n] denote the impulse responses of LTI Subsystems 11 and 22, respectively. Also, δ[n]\delta[n] is the unit impulse, and b>0b>0.

Assuming h2[n]≠δ[n]h_{2}[n] \neq \delta[n], the overall system (denoted by the dashed box) is ______\_\_\_\_\_\_

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Answer: D

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