Question: (a) Given II(t) sinc(f), find the Fourier transforms of the following signals using the frequency-translation followed by the time-delay theorem. (i) x 1 (t)

(a) Given II(t) ↔ sinc(f),  find the Fourier transforms of the following signals using the frequency-translation followed by the time-delay theorem. 

(i) x1(t) = II (t - 1) exp [j4π(t - 1)]

(ii) x2(t) = II (t + 1) exp [j4π(t + 1)] 

(b) Repeat the above, but now applying the time delay theorem followed by the frequency translation theorem.

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