(Solved): 9. Consider the spectrum \( X(\omega) \) of a signal \( x(t) \). (i) Determin ...

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9. Consider the spectrum \( X(\omega) \) of a signal \( x(t) \). (i) Determine the signal \( x(t) \). (ii) What are the bandwidth and the Nyquist rate of the signal? (iii) The signal \( x(t) \) is sampled with an interval of \( T=1 / 10 \) sec. Draw the spectrum of \( x_{s}(t) \) (iv) If the sampled signal \( x_{s}(t) \) is applied to an ideal low-pass filter for reconstruction. What is the bandwidth of the filter? Determine the reconstructed signal.