(Solution) - An analog signal of the form xa t a t cos2000 t is -(2025 Original AI-Free Solution)

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An analog signal of the form xa(t) = a(t) cos2000?t is bandlimited to the range 900 ? F ? 1100 Hz. It is used as an input to the system shown in figure.
(a) Determine and sketch the spectra for the signals x(n) and ?(n).
(b) Use a Hamming window if length M = 31 to design a lowpass linear phase FIR filter H(?) that passes {a(n)}.