Consider the signals x[n] and y[n] = [1+(−1)n]x[n], where x[n] is assumed to be bandlimited to |Ω| ≤ π/2. For the sake of illustration, you may take x[n] = sinc(n/6). (a) Sketch the signals x[n] and...

Consider the signals x[n] and y[n] = [1+(−1)n]x[n], where x[n] is assumed to be bandlimited to |Ω| ≤ π/2. For the sake of illustration, you may take x[n] = sinc(n/6).

(a) Sketch the signals x[n] and y[n].

(b) Sketch the spectra X(Ω) and Y (Ω).