A complex-valued continuous-time signal x_c(t) has the Fourier transform shown in figure, where (?₂ ? ?₁) = ??. This signal is sampled to produce the sequence x[n] = x_c(nT).

(a) Sketch the Fourier transform X(e^j?) of the sequence x[n] for T = ? / ?₂.

(b) What is the lowest sampling frequency that can be used without incurring any aliasing distortion, i.e., so that x_c(t) can be recovered from x[n]?

(c) Draw the block diagram of a system that can be used to recover x_c(t) from x[n] if the sampling rate is greater than or equal to the rate determine in part (b). Assume that (complex) ideal filters are available.

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