Consider the signal x(t)=2 sin(0.5t)/t (a) Is x(t) band-limited? If so, indicate its maximum frequency max

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Consider the signal x(t)=2 sin(0.5t)/t

(a) Is x(t) band-limited? If so, indicate its maximum frequency Ω­max.

(b) Suppose that Ts = 2 π, how does ­Ωs relate to the Nyquist frequency 2Ω­max? Explain. What is the sampled signal x(nTs) equal to?

(c) Determine the spectrum of the sampled signal Xs(Ω) when Ts = 2 π and indicate how to reconstruct the original signal from the sampled signal.

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