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Question: consider a discretetime linear timeinvariant system whose transfer function 1s...

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Consider a discrete-time linear time-invariant system whose transfer function 1S 42-1 H(z) 10.52-11 0.5j2-) (a) (10 points) Is the system bounded-input bounded-output (BIBO) stable? Very briefly justify your answer (b) (50 points) Find the impulse response h[n] of the system. Show your work. Hint: You may need the z-transfrom relaon un]-T. where u[n] is the unit step signal. (c) (40 points) Let x[n] δ[n] + 10 cos(08πn). Find the output of the system when the input is r[n]. Show your work.

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