What is the inverse z-transform of X(z)=1/(1-1.5z-1+0.5z-2 ) if ROC is |z| < 0.5?
A. {….62,30,14,6,2}
B. {…..62,30,14,6,2,0,0}
C. {0,0,2,6,14,30,62…..}
D. {2,6,14,30,62…..}
Answer:A
What is the inverse z-transform of X(z)=1/(1-1.5z-1+0.5z-2 ) if ROC is |z| < 0.5?
A. {….62,30,14,6,2} B. {…..62,30,14,6,2,0,0} C. {0,0,2,6,14,30,62…..} D. {2,6,14,30,62…..}
Explanation: In this case the ROC is the interior of a circle. Consequently, the signal x(n) is anti causal. To obtain a power series expansion in positive powers of z, we perform the long division in the following way: