A fundamental property of linear time-invariant systems is that when-ever the input of the system is a
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A fundamental property of linear time-invariant systems is that when-ever the input of the system is a sinusoid of a certain frequency the output will also be a sinusoid of the same frequency but with an amplitude and phase determined by the system. For the following systems let the input be x(t) = cos(t),???? (a) y(t)=|x(t)|2,
(b) y(t) = 0.5[x(t) + x(t ?? 1)],
(c) y(t) = x(t) u(t),
(d)
?
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The input to all the systems is xt cost t a The system ...View the full answer
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