Question: Determine the zero-state response of the system y(n) = y(n 1) + 4x(n) + 3x(n 1) to the input x(n) = e j0nun.

Determine the zero-state response of the system
y(n) = ½y(n – 1) + 4x(n) + 3x(n – 1)
to the input
x(n) = e j∞0nun.
What is the steady-state response of the system?

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