Question: A causal LTI system excited by the input x(n) = (1/4) n u ( n ) + u(- n ? 1) produce an output y(n)

A causal LTI system excited by the input x(n) = (1/4)nu (n) + u(- n ? 1) produce an output y(n) with z-transform

(a) Determine the system function H(z) and its ROC.

(b) Determine the output y(n) of thesystem.

(1-2 + 1}{j_{ - 1) Y(:) =

(1-2 + 1}{j_{ - 1) Y(:) =

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