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).
(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).
(c) Let x(t) = cos(200πt). If T = 0.004 s, list all frequency components of xp(t) less than 700 Hz.
(d) Let x(t) = cos (2πfx t). Find a value of such that the same frequencies appear in xp(t) as in Part (c).
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