Problem

The following information is known about an LTI system: (i) The system is causal. (ii)...

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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