Question
Problem 3 [30 points]: Let x[n] be a signal with Fourier transform as shown below. X(w) Π ° π Π Determine and sketch the Fourier transforms of the following signals: (a) x₁[n] = x[n] cos(0.25πn). Can you recover the original signal x[n] from x₁[n] by filtering? [10 points] NOTE: Watch out for overlap between upper and lower sidebands. SOLUTION: (b) x2 [n] = x[n] sin(0.5πn) [10 points] HINT: sin 0 = 2j [eje - e-je]
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