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Signals & SystemsZ-Transform

A causal rational discrete-time LTI system is BIBO stable when all its poles are?

  • AStrictly inside the unit circle
  • BStrictly outside the unit circle
  • CExactly on the unit circle
  • DAt z=1 only
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Correct Answer: A. Strictly inside the unit circle
Explanation: For a causal rational system to be stable, the unit circle must lie in the ROC; therefore all poles must lie strictly inside it.
Reference: Standard signals and systems: z-transform
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