What is the ROC of the system function H(z) if the discrete time LTI system is BIBO stable?
A. Entire z-plane, except at z=0
B. Entire z-plane, except at z=∞
C. Contain unit circle
D. None of the mentioned
Answer:A
What is the ROC of the system function H(z) if the discrete time LTI system is BIBO stable?
A. Entire z-plane, except at z=0 B. Entire z-plane, except at z=∞ C. Contain unit circle D. None of the mentioned
Explanation: A discrete time LTI is BIBO stable, if and only if its impulse response h(n) is absolutely summable. That is,