A periodic signal whose period is given by x(t) = Δ(t/τ), where τ = 1/20. The signal x(t) is band-limited by an ideal analog low-pass filter with a cutoff frequency fc. The signal x(t), ideally sampled at a rate of 80 Hz, is reconstructed using an ideal low-pass filter with a cutoff frequency of 40 Hz, resulting in the signal y(t). a) Plot the spectrum of y(t) if fc = 40 Hzb) Plot the spectrum of y(t) if fc = 20 Hz

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A periodic signal whose period is given by x(t) = Δ(t/τ), where τ = 1/20. The signal x(t) is band-limited by an ideal analog low-pass filter with a cutoff frequency fc.

The signal x(t), ideally sampled at a rate of 80 Hz, is reconstructed using an ideal low-pass filter with a cutoff frequency of 40 Hz, resulting in the signal y(t).

a) Plot the spectrum of y(t) if fc = 40 Hz
b) Plot the spectrum of y(t) if fc = 20 Hz

 
 
 
 
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