Difference equation of a discrete-time causal (right-sided) LTI system, y(n) = 2 x(n) – x(n-1) -1/4 y(n-1) + 1/8 y(n-2) is given as. a) Give the system function H(z). b) Indicate zero, poles and ROC in the Z-plane. Is the system stable? Please explain. c) Find the impulse response of the system.

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