If X(z) has M finite zeros and N finite poles, then which of the following condition is true?
A. |N-M| poles at origin(if N>M)
B. |N+M| zeros at origin(if N>M)
C. |N+M| poles at origin(if N>M)
D. |N-M| zeros at origin(if N>M)
Answer:A
If X(z) has M finite zeros and N finite poles, then which of the following condition is true?
A. |N-M| poles at origin(if N>M) B. |N+M| zeros at origin(if N>M) C. |N+M| poles at origin(if N>M) D. |N-M| zeros at origin(if N>M)
Explanation: If X(z) has M finite zeros and N finite poles, then X(z) can be rewritten as X(z)=z -M+N.X'(z).