Consider the system shown in Figure.(a) Give the constraints on x(t) and T such that x(t)...

Consider the system shown in Figure.

(a) Give the constraints on x(t) and T such that x(t) can be reconstructed (approximately) from xp(t).

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(b) Give the frequency response H(ω) such that y(t) = x(t), provided that x(t) and T satisfy the constraints in Part (a).

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(c) Let x(t) = cos(200πt). If T = 0.004 s, list all frequency components of xp(t) less than 700 Hz.

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(d) Let x(t) = cos (2πfx t). Find a value of  such that the same frequencies appear in xp(t) as in Part (c).