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

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Consider a discrete-time linear time-invariant system whose transfer function has two poles at z = 0.8 and z =-0.5, and one zero of order 2 at z = 0. (a) (10 points) Is the system bounded-input bounded-output (BIBO) stable? Very briefly justify your answer. (b) (50 points) Find the impulse response hfn] of the system. Show your work. 1-2-1, where u[n Hint: You may need the z-transfrom relation cnun- is the unit step signal (c) (40 points) Let r[n 10(0.8)un, where un is the unit step signal. Find the output of the system when the input is x[n]. Show your work.

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