The following problems are about the steady state response of LTI systems due to periodic signals. (a)
Question:
(a) The transfer function of a LTI system is
If the input to this system is x(t) = 1 + cos(t + π/4) what is the output y(t) in the steady state.
(b) The transfer function of a LTI system is given by
and its input is x(t) = 4u(t).
i. Use the eigenfunction property of LTI systems to find the steady-state response y(t) of this system.
ii. Verify your result above by means of the Laplace transform.
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a According to the eigenfunction property of LTI the stead...View the full answer
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