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Which one of the following is the Fourier transform of the signal given in figure (B) if the Fourier transform of the signal in figure (A) is given
2 sin ωT1 ω 
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2 sin ωT1 e+ jωT1 ω -
2 sin ωT1 e– jωT1 ω -
sin ωT1 e– jωT1 ω -
sin ωT1 e+ jω(T1 – 2) ω
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Correct Option: B
| F.T[f(t)] = |  | ∞ | f(t) e– jωt dω | – ∞ |
| = | | T1 | 1e– jωt dt | – T1 |
| = |  |  | T1 | |
| jω | – T1 |
| F(jω) = | sin ωT1 | ω |
Now, since the required waveform is shifted with T1 .
| F[f(t – T1 )] → | sin ωT1 .e– jωT1 | ω |
Hence, alternative (B) is the correct choice.
