Electronics and Communication Engineering - Exam Questions Papers - Discussion

3. 

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

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?

[A]. Both S1 and S2 are true
[B]. Both S2 and S3 are true
[C]. Both S1 and S3 are true
[D]. S1, S2 and S3 are all true

Answer: Option C

Explanation:

S1 true, S2 False (meter stable nor causal) S3 True.


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