We want to design a causal discrete-time LTI system with the property where the input is 피(m) = ()"a(m) - 0.125(- (n-1) and the output is y(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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We want to design a causal discrete-time LTI system with the property where the input is
z(n) = ("u(n) – 0.125(y"-tu(n – 1)
and the output is
y(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.
3.4 Determine a realization of the system that requires the minimum possible amount of
memory (least number of delay blocks).
3.5 Determine if the system is stable. Explain your answer.
Transcribed Image Text:We want to design a causal discrete-time LTI system with the property where the input is z(n) = ("u(n) – 0.125(y"-tu(n – 1) and the output is y(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. 3.4 Determine a realization of the system that requires the minimum possible amount of memory (least number of delay blocks). 3.5 Determine if the system is stable. Explain your answer.
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