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ECE · Q92

Signal Processing

Engineering and GATE · ECE · question 92

Q92

The transfer function of a discrete time LTI system is given by H ( z ) = 2 - 3 4z^ - 1 1 - 3 4z^ - 1 + 1 8z^ - 2 Consider the following statements: S1 : The system is stable and causal for ROC: | z | > 1 2 S2 : The system is stable but not causal for ROC: | z | < 1 4 S3 : The system is neither stable nor causal for ROC:1 4 < | z | < 1 2 Which one of the following statements is valid?

The transfer function of a discrete time LTI system is given by

Consider the following statements:
S1 : The system is stable and causal for

S2 : The system is stable but not causal for

S3 : The system is neither stable nor causal for

Which one of the following statements is valid?
A.
Both S1 and S2 are true
B.
Both S2 and S3 true
C.
Both S1 and S3 are true
Answer
D.
S1, S2 and S3 are all true

Answer: Option C

Solution

Answer: Option C
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