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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 $\_\_\_\_\_\_$.

  1. $-4 X(4 f) e^{-j \pi f}$
  2. $-4 X(4 f) e^{-j 4 \pi f}$
  3. $-\frac{1}{4} X(f / 4) e^{-j \pi f}$
  4. $-\frac{1}{4} X(f / 4) e^{-j 4 \pi f}$

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