A cascade system having the impulse responses h₁(n) = {1, -1} and h₂(n) = {1, 1} is shown in the figure below, where symbol ↑ denotes the time origin. The input sequence x(n) for which the cascade system produces an output sequence y(n) = {1, 2, 1, -1, -2, -1} is

GATE 2018 Electrical Engineering Q32 — Electrical Engineering

GATE 2018Set CombinedQ32MCQanswer keyexplanation soonmedium

Electrical Engineering · Signals and Systems - Convolution

Concept intelligence

Jump into a concept drill from this question.

Figure from the original GATE 2018 paper. (IIT Guwahati archive)

Studying seriously for GATE CSE?

Keep browsing free. Pro unlocks the paid study loop: explanations, topic mastery, mistake notebook, and custom PYQ drills.

Recurring concept

Signals and Systems - Convolution has appeared in GATE Electrical Engineering 5 times across 4 years (2018, 2023, 2024, 2025).

More questions on Signals and Systems - Convolution

📊 has diagram∑ has math

cascade systemimpulse responseconvolutiondiscrete-time