A linear time invariant system is characterized by the system function H(z)=1/(1-0.5z-1 )+2/(1-3z-1 ).What is the ROC of H(z) if the system is causal?
A. |z|<3
B. |z|>3
C. |z|<0.5
D. |z|>0.5
Answer:A
A linear time invariant system is characterized by the system function H(z)=1/(1-0.5z-1 )+2/(1-3z-1 ).What is the ROC of H(z) if the system is causal?
A. |z|<3 B. |z|>3 C. |z|<0.5 D. |z|>0.5
Explanation: The system has poles at z=0.5 and at z=3.