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5. Consider a causal linear shift-invariant system that is specified by the following difference equation: 5 y[n] =žyſn – 1] – y[n – 2] + [n] + 2x[n – 1]. (a) Find the transfer function (2) of the system. (b) Find the impulse response h[n] of the system. (c) Sketch the zero-pole plot of the system. (a) Draw the Direct Form I implementation of the system. (e) Is the system BIBO stable?
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