Z-transform of y[n]=x[2n] (Subsampling) | GATE 2024 Electrical Engineering Question 39

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Electrical Engineering > GATE 2024 > Z-Transform

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 _______.

A

Y(z)=X(z²)

B

Y(z)=(1/2)[X(z^-1/2)+X(-z^-1/2)]

C

Y(z)=(1/2)[X(z^1/2)+X(-z^1/2)]

D

Y(z)=(1/2)[X(z²)+X(-z²)]

Correct : c

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