GATE ECE 2004 | Question: 66

Question

Let $x(t)$ and $y(t)$ (with Fourier transforms $X(f)$ and $Y(f)$ respectively) be related as shown in the given figure.

Then $Y(f)$ is

• A. $-\frac{1}{2} X(f / 2) e^{-j 2 \pi f}$
• B. $-\frac{1}{2} X(f / 2) e^{j 2 \pi f}$
• C. $-X(f / 2) e^{j 2 \pi f}$
• D. $-\mathrm{X}(f / 2) e^{-j2 \pi f}$