If the Z-transform of a finite-duration discrete-time signal x[n] is X(z), then the Z-transform of the signal y[n] = x[2n] is

Y(z) = 1/2 [X(z⁻¹/²) + X(−z⁻¹/²)]

Y(z) = 1/2 [X(z¹/²) + X(−z¹/²)]

Y(z) = 1/2 [X(z² ) + X(−z²)]

GATE 2024 Electrical Engineering Q39 — Electrical Engineering

GATE 2024Set MasterQ39MCQanswer pendingexplanation soonmedium

Electrical Engineering · Signals and Systems - Z-transform

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Recurring concept

Signals and Systems - Z-transform has appeared in GATE Electrical Engineering 2 times across 2 years (2024, 2026).

More questions on Signals and Systems - Z-transform

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Z-transformdiscrete-time signalsampling