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Signals & SystemsStability

A causal discrete-time system has a pole at z=1.2. Its BIBO stability is?

  • AStable
  • BUnstable
  • CMarginally stable in every sense
  • DIndependent of pole location
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Correct Answer: B. Unstable
Explanation: For a causal rational DT system, a pole outside the unit circle prevents the unit circle from being in the ROC, so it is not BIBO stable.
Reference: Standard signals and systems: stability
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