The eigenfunction property is only valid for LTI systems. Consider the cases of non-linear and of time-varying
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The eigenfunction property is only valid for LTI systems. Consider the cases of non-linear and of time-varying systems.
(a) A system represented by the input-output equation y(t) = x2(t) is non-linear. Let the input be x(t) = ejπt/4 find the corresponding system output y(t). Does the eigenfunction property hold? Explain.
(b) Consider a time-varying system y(t) = x(t) [u(t) − u(t − 1)]. Let x(t) = ejπt/4 find the corresponding system output y(t). Does the eigenfunction property hold? Explain.
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a If xt e jt4 is the nonlinear system input the output is yt x 2 t e jt2 which ca...View the full answer
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