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Question: a discretetime lti system is described by the difference equation...

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A discrete-time LTI system is described by the difference equation: a) What is the transfer function HE) of the system? What is the ROC of He) if the system is to be stable? Sketch the pole-zero pattern of HE) in z -domain indicating all its zeros, poles, and ROC. b) Write down the impulse response of this system h[n]? Is this system causal? Justify your answer. c) What is the output if the input is in]?
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