Question:-
The z-transform X(z) of a real and right-sided sequence x[n] has exactly two poles and one of them is at z=ejx/2 and there are two zeros at the origin. If X(1) =1, which one of the following is TRUE ?
Option (A)
X(z) = 2z2/{(z-1)2+2}, ROC is (1/2) < |z| < 1
Option (B)
X(z) = 2z2/(z2+1), ROC is |z| > (1/2)
Option(C)
X(z) = 2z2/{(z-1)2+2} , ROC is |z| > 1
Option(D)
X(z) = 2z2/(z2+1), ROC is |z| > 1
Correct Option:
(D)
question-answer-faq-2012