The following information is known about an LTI system:
(i) The system is causal.
(ii) When the input is
then the z-transform of the output is
(a) Find the z-transform of x[n].
(b) What are the possible choices for the ROC of Y(z)?
(c) What are the possible choices for a linear constant-coefficient difference equation used to describe the system?
(d) What are the possible choices for the impulse response of the system?
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