Problem 5

We are given the following 5 facts about a discrete time signal x[n] with Z – transform X (z) :

(a)  x[n] is real and right sided.

(b)  X(z) has exactly 2 poles.

(c)  X(z) has 2 zeroes at the origin.

(d)  X(z) has a pole at z = .

(e)  X(1) = .

Determine X(z) and specify its region of convergence.