A Fourier transform pairs is as follows Where;

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A Fourier transform pairs is as follows

Where; x(t) = 1 |t| < |
0 otherwise

Determine the Fourier transform of the signal y(t) shown in figure below

1. e^j2ω sin2ω
  2ω
2. e^-j2ω sin2ω
  ω
3. 4e^-j2ω sin ω/2
  ω
4. 4e^j2ω sin ω/2
  ω

Correct Option: B

y(t) = x		t - 2
		2

⇒ Y(jω) = e ^{– j2ω} X(j2ω)

Y(jω) =	e ^{– j2ω} sin 2ω
	2ω