GATE 2024 EC: Fourier Transform of y(t) from x(t) | Signals & Systems Problem

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EC > GATE 2024 > Fourier Transform

Consider two continuous time signals x(t) and y(t) as shown below.

If X(f) denotes the Fourier transform of x(t), then the Fourier transform of y(t) is

A

$-4X(4f) e^{-jπf}$

B

$-4X(4f) e^{-j4πf}$

C

$-\frac{1}{4} X(f/4) e^{-jπf}$

D

$-\frac{1}{4} X(f/4) e^{-j4πf}$

Correct : D

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