(Solved): Figure below describes a system in which the sampling signal is an impulse train with alternating ...

Figure below describes a system in which the sampling signal is an impulse train with alternating sign. The Fourier transform of the input signal as indicated in the figure. a. For \( \Delta<\pi / 2 \omega_{M} \), sketch the Fourier transform of \( x_{p}(t) \) and \( y(t) \). b. For \( \Delta<\pi / 2 \omega_{M} \), determine a system that will recover \( \mathrm{x}(\mathrm{t}) \) from \( x_{p}(t) \). c. For \( \Delta<\pi / 2 \omega_{M} \), determine a system that will recover \( \mathrm{x}(\mathrm{t}) \) from \( \mathrm{y}(\mathrm{t}) \). d. What is the maximum value of \( \Delta \) in relation to \( \omega_{M} \) for which \( x(t) \) can be recovered from either \( x_{p}(t) \) or \( y(t) \).