Suppose x(t) has a Fourier transform X() = u( + 1) u( 1) (a) Determine

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Suppose x(t) has a Fourier transform X(Ω) = u(Ω + 1) − u(Ω − 1)

(a) Determine possible values of the sampling frequency ­Ωs so that x(t) is sampled without aliasing.

(b) Let y(t) = x2(t), find the Fourier transform Y(Ω), indicating its maximum frequency. Is y(t) band-limited?

(c) If z(t) = x(t) + y(t), what is the maximum frequency of z(t)? Find values for the sampling period Ts that can be used to sample z(t) without aliasing.

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