Question: The following information is known about a linear time-invariant system: (i) The system is causal. (ii) When the input is the z-transform of the output

The following information is known about a linear time-invariant system: 

(i) The system is causal.

(ii) When the input is 

) огия

the z-transform of the output is,

) " 4 (2)" | 1], x[n] u[n]. 3 (2 ||

(a) Find the z-transform of x[n].

(b) What are the possible choices for the region of convergence of Y(z)?

(c) What ate the possible choices for the impulse response of the system?

) " 4 (2)" | 1], x[n] u[n]. 3 (2 ||

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