8. We want to design a causal discrete-time LTI system with the property that n-1 if the input is x(n) = ;)* u(n) -;) u(n - 1) Then the output is y(n) = () u(n) %3D %3D Determine the impulse response h(n) and the system function H(z).

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8. We want to design a causal discrete-time LTI system with the property that
if the input is x(n) = (;) u(n) -- u(n - 1)
n-1
%3D
Then the output is y(n) = (;) u(n)
%3D
Determine the impulse response h(n) and the system function H(z).
Transcribed Image Text:8. We want to design a causal discrete-time LTI system with the property that if the input is x(n) = (;) u(n) -- u(n - 1) n-1 %3D Then the output is y(n) = (;) u(n) %3D Determine the impulse response h(n) and the system function H(z).
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