We want to design a causal discrete-time LTI system with the property where the input is x(n) = ({})"u(n) — 0.125(-)"−¹u(n − 1) – and the output is (n) =)"u(n) 3.1 Determine the system function H(z). 3.2 Solve for the impulse response h(n). 3.3 Find the difference equation that characterizes this system.

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We want to design a causal discrete-time LTI system with the property where the input
a(n) = ()" (n) – 0.125(-)…! (n−1)
and the output is
(n) =)"u(n)
3.1
Determine the system function H(2).
3.2 Solve for the impulse response h(n).
3.3 Find the difference equation that characterizes this system.
Transcribed Image Text:We want to design a causal discrete-time LTI system with the property where the input a(n) = ()" (n) – 0.125(-)…! (n−1) and the output is (n) =)"u(n) 3.1 Determine the system function H(2). 3.2 Solve for the impulse response h(n). 3.3 Find the difference equation that characterizes this system.
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