Computer · Signals and Systems
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: For a given causal sequence x[n] = (1/2)n u(n), its Z-transform X(z) = 1 / (1 - (1/2)z-1) with ROC |z| > 1/2 represents a stable system. Reason R: For a causal LTI system to be stable, the Region of Convergence (ROC) of its Z-transform must include the unit circle. In light of the above statements, choose the most appropriate answer:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Both A and R are correct and R is the correct explanation of A✓
- 2Both A and R are correct but R is NOT the correct explanation of A
- 3A is correct but R is not correct
- 4A is not correct but R is correct
Correct answer
Both A and R are correct and R is the correct explanation of A
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